Dictionary of Arguments


Philosophical and Scientific Issues in Dispute
 
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The author or concept searched is found in the following 15 controversies.
Disputed term/author/ism Author Vs Author
Entry
Reference
Brandom, R. Russell Vs Brandom, R. Read III 26
Facts/Russell: a fact is different from the corresponding statement. There are false statements, but no "wrong facts". ((s) Brandom: speaks only of true statements as facts). VsRussell: But the cost of this statement is that it undermines the distinction between language and the world.

Russell I
B. Russell/A.N. Whitehead
Principia Mathematica Frankfurt 1986

Russell II
B. Russell
The ABC of Relativity, London 1958, 1969
German Edition:
Das ABC der Relativitätstheorie Frankfurt 1989

Russell IV
B. Russell
The Problems of Philosophy, Oxford 1912
German Edition:
Probleme der Philosophie Frankfurt 1967

Russell VI
B. Russell
"The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202
German Edition:
Die Philosophie des logischen Atomismus
In
Eigennamen, U. Wolf (Hg) Frankfurt 1993

Russell VII
B. Russell
On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit"
In
Wahrheitstheorien, G. Skirbekk (Hg) Frankfurt 1996

Re III
St. Read
Thinking About Logic: An Introduction to the Philosophy of Logic. 1995 Oxford University Press
German Edition:
Philosophie der Logik Hamburg 1997
Field, H. Leeds Vs Field, H. Field II 304
Indeterminacy/Set Theory/ST/Leeds/Field: e.g. somebody considers the term "set" to be undetermined, so he could say instead: The term can be made "as large as possible". (Leeds 1997,24) (s) "everything that is included in the term"). As such the term can have a wider or narrower definition. Cardinality of the continuum/Indeterminacy/Field: This indeterminacy should at least contain the term set membership.
LeedsVsField: It is not coherent to accept set theory and to qualify its terms as indetermined at the same time. And it is not coherent to then apply classical logic in set theory.
Field: It could also look like this: the philosophical comments should be separated from mathematics. But we do not need to separate theory from practice, e.g. if the belief in indeterminacy is expressed in whether the degree of the mathematician's belief in the continuum hypothesis and his "doubt degree" adds up to 1 ((s) So that there is no space left for a third possibility).
Problem: A mathematician for whom it adds up to 1 could ask himself "Is the continuum hypothesis correct?" and would look for mathematical proof. A second mathematician, however, whose degree of certainty adds up to 0 ((s) since he believes in neither the continuum hypothesis nor its negation) will find it erroneous to look for proof. Each possibility deserves to be analyzed.
The idea behind indeterminacy however is that only little needs to be defined beyond the accepted axioms. ((s) no facts.)
Continuum Hypothesis/Field: Practical considerations may prefer a concept over one another in a particular context and a different one in another context.
Solution/Field: This is not a problem as long as those contexts are hold separate. But is has been shown that its usefulness is independent from the truth.
II 305
Williamsons/Riddle/Indeterminacy/Leeds/Field: (LeedsVsField): (e.g. it must be determined whether Joe is rich or not): Solution/Leeds: i) we exclude the terms in question, e.g. rich (in this example) from the markup language which we accept as "first class"
and
ii) the primary (disquotional) use of "referred" or "is true of" is only used for this markup language.
Indeterminacy/Leeds: Is because there is no uniform best way to apply the disquotional scheme in order to translate into the markup language.
Field: This is genius: To reduce all indeterminacy on the indeterminacy of the translation.
FieldVsLeeds: I doubt that a meaning can be found.
Problem: To differentiate between undetermined termini and those which are only different regarding the extension of the markup language. Especially if we have a number of translations which all have different extensions in our markup language.
Solution/Disquotationalism: It would integrate the foreign terms in its own language. We would then be allowed to cite.(Quine, 1953 b, 135. see above chap. IV II 129-30).
Problem: If we integrate "/" and "", the solution which we obtained above may disappear.
FieldVsLeeds: I fear that our objective - to exclude the indeterminacy in our own language- will not be reached.It even seems to be impossible for our scientific terms!
e.g. the root –1/√-1/Brandom/Field: The indeterminacy is still there; We can simply use the "first class" markup language to say that -1 has two roots without introducing a name like "i" which shall stand for "one of the two".
FieldVsLeeds: We can accept set theory without accepting its language as "first class". ((s) But the objective was to eliminate terms of set theory from the first class markup language and to limit "true of" and "refer" to the markup language.)
Field: We are even able to do this if we accept Platonism (FieldVsPlatonism) :
II 306
e.g. we take a fundamental theory T which has no vocabulary of set theory and only says that there is an infinite number of non-physical eternally existing objects and postulates the consistency of fundamental set theory. Consistency is then the basic term which is regulated by its own axioms and not defined by terms of set theory. (Field 1991). We then translate the language of set theory in T by accepting "set" as true of certain or all non-physical eternally existing objects and interpret "element of" in such a way that the normal axioms remain true.
Then there are different ways to do this and they render different sentences true regarding the cardinality of the continuum. Then the continuum hypothesis has no particular truth value. (C.H. without truth value).
Problem: If we apply mathematical applications to non-mathemtical fields, we do not only need consistency in mathematics but in other fields as well. And we should then assume that the corresponding theories outside mathematics can have a Platonic reformulation.
1. This would be possible if they are substituted by a nominal (!) theory.
2. The Platonic theorie could be substituted by the demand that all nominal consequences of T-plus-set theory are true.
FieldVs: The latter looks like a cheap trick, but the selected set theory does not need to be the one deciding the cardinality of the continuum.
The selected set theory for a physical or psychological theory need not to be compatible with the set theory of another domain. This shows that the truth of the metalanguage is not accepted in a parent frame of reference. It's all about instrumental usefulness.
FieldVsLeeds: We cannot exclude indeterminacy - which surpasses vagueness- in our own language even if we concede its solution. But we do not even need to do this; I believe my solution is better.

I 378
Truth/T-Theory/T-concept/Leeds: We now need to differentiate between a) Truth Theory (T-Theory) ((s) in the object language) and
b) theories on the definition of truth ((s) metalinguistic) .
Field: (1972): Thesis: We need a SI theory of truth and reference (that a Standard Interpretation is always available), and this truth is also obtainable.
(LeedsVsStandard Interpretation/VsSI//LeedsVsField).
Field/Leeds: His argument is based on an analogy between truth and (chemical)valence. (..+....)
Field: Thesis: If it would have looked as if the analogy cannot be reduced, it would have been a reason to abandon the theory of valences, despite the theory's usefulness!
Truth/Field: Thesis: (analogous to valence ): Despite all we know about the extension of the term, the term also needs a physicalistic acceptable form of reduction!
Leeds: What Field would call a physicalistic acceptable reduction is what we would call the SI theory of truth: There always is a Standard Interpretation for "true" in a language.
Field/Leeds: Field suggests that it is possible to discover the above-mentioned in the end.
LeedsVsField: Let us take a closer look at the analogy: Question: Would a mere list of elements and numbers (instead of valences) not be acceptable?
I 379
This would not be a reduction since the chemists have formulated the law of valences. Physikalism/Natural law/Leeds: Does not demand that all terms can be easily or naturally explained but that the fundamental laws are formulated in a simple way.
Reduction/Leeds: Only because the word "valence" appears in a strict law there are strict limitations imposed on the reduction.
Truth/Tarski/LeedsVsTarski: Tarski's Definitions of T and R do not tell us all the story behind reference and truth in English.
Reference/Truth/Leeds: These relations have a naturalness and importance that cannot be captured in a mere list.
Field/Reduction/Leeds: If we want a reduction à la Field, we must find an analogy to the law of valences in the case of truth, i.e. we need to find a law or a regularity of truth in English.
Analogy/Field: (and numerous others) See in the utility of the truth definition an analogy to the law.
LeedsVsField: However, the utility can be fully explained without a SI theory. It is not astonishing that we have use for a predicate P with the characteristic that"’__’ is P" and "__"are always interchangeable. ((s)>Redundancy theory).
And this is because we often would like to express every sentence in a certain infinite set z (e.g. when all elements have the form in common.) ((s) "All sentences of the form "a = a" are true"), > Generalization.
Generalization/T-Predicate/Leeds: Logical form: (x)(x e z > P(x)).
Semantic ascent/Descent/Leeds: On the other hand truth is then a convenient term, same as infinite conjunction and disjunction.
I 386
Important argument: In theory then, the term of truth would not be necessary! I believe it is possible that a language with infinite conjunctions and disjunctions can be learned. Namely, if conjunctions and disjunctions if they are treated as such in inferences. They could be finally be noted.
I 380
Truth/Leeds: It is useful for what Quine calls "disquotation" but it is still not a theory of truth (T-Theory). Use/Explanation/T-Theory/Leeds: In order to explain the usefulness of the T-term, we do not need to say anything about the relations between language and the world. Reference is then not important.
Solution/Leeds: We have here no T-Theory but a theory of the term of truth, e.g. a theory why the term is seen as useful in every language. This statement appears to be based solely on the formal characteristics of our language. And that is quite independent of any relations of "figure" or reference to the world.

Reference/Truth/Truth term/Leeds: it shows how little the usefulness of the truth term is dependent on a efficient reference relation!
The usefulness of a truth term is independent of English "depicts the world".
I 381
We can verify it: Suppose we have a large fragment of our language, for which we accept instrumentalism, namely that some words do not refer. This is true for sociology, psychology, ethics, etc. Then we will find semantic ascent useful if we are speaking about psychology for example. E.g. "Some of Freud's theories are true, others false" (instead of using "superego"!) Standard Interpretation/Leeds: And this should shake our belief that T is natural or a standard.
Tarski/Leeds: This in turn should not be an obstacle for us to define "T" à la Tarski. And then it is reasonable to assume that "x is true in English iff T (x)" is analytic.
LeedsVsSI: We have then two possibilities to manage without a SI:
a) we can express facts about truth in English referring to the T-definition (if the word "true" is used) or
b) referring to the disquotional role of the T-term. And this, if the explanandum comprises the word "true" in quotation marks (in obliqua, (s) mentioned).

Acquaintance/Russell/M. Williams: Meant a direct mental understanding, not a causal relation!
This is an elder form of the correspondence theory.
I 491
He was referring to RussellVsSkepticism: A foundation of knowledge and meaning FieldVsRussell/M. WilliamsVsRussell: das ist genau das Antackern des Begriffsschemas von außen an die Welt.
Field/M. Williams: His project, in comparison, is more metaphysical than epistemic. He wants a comprehensive physicalistic overview. He needs to show how semantic characteristics fit in a physical world.
If Field were right, we would have a reason to follow a strong correspondence theory, but without dubious epistemic projects which are normally linked to it.
LeedsVsField/M. Williams: But his argument is not successful. It does not give an answer to the question VsDeflationism. Suppose truth cannot be explained in a physicalitic way, then it contradicts the demand that there is an unmistakable causal order.
Solution: Truth cannot explain (see above) because we would again deal with epistemology (theory of knowledge).(>justification, acceptability).

Leeds I
Stephen Leeds
"Theories of Reference and Truth", Erkenntnis, 13 (1978) pp. 111-29
In
Truth and Meaning, Paul Horwich Aldershot 1994

Field I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Field II
H. Field
Truth and the Absence of Fact Oxford New York 2001

Field III
H. Field
Science without numbers Princeton New Jersey 1980

Field IV
Hartry Field
"Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67
In
Theories of Truth, Paul Horwich Aldershot 1994
Frege, G. Millikan Vs Frege, G. I 102
Relation of projection/language/Millikan: We begin by saying that at least a few words are coordinated with objects. Accordingly, true propositions correspond with facts in the world.
Problem: Incorrect sentences do not correspond to any facts. How can individual words that correspond very well to objects, be composed in a way that in the end the whole sentence does not correspond?
Ex "Theaetetus flies": "Theaetetus" corresponds to Theaitetus, "flies" corresponds to flying.
wrong solution: to say that it was up to the relation between the Theaetetus and the flying. Because the relation corresponds somewhat, this may be instantiated (Ex between Theaitetos and walking) or uninstantiiert. Everything corresponds to something - just not the whole sentence "Theaetetus flies".
Solution/Frege: he joined the singular term with "values" that were the objects in the world.
I 103
Sentence/Frege/Millikan: he interpreted thus similarly to names, as complex characters that marked truth or falsity in the end. (Millikan pro Frege: "elegant") Solution/Wittgenstein/WittgensteinVsFrege/Millikan (Millikan: better than Frege): complex aRb, whereas in the case of false sentences the correspondence with the world lacks.
Correspondence/Wittgenstein/Millikan: but that is another meaning of "corresponding"! Words should correspond with different things than sentences with the world. ((S) double difference: 1. aRb unlike 2. SLW!. It would have already made a difference, if aRb and SRW were opposed.).
((S) Sense/Wittgenstein/(S): corresponds to the possibility of derogations.)

I 190
real value/indexical adaptor/denotation/Millikan: Ex "the ___ N of ....". indexical adaptor: has to be a real value of "N" to be in the embedded clause "N ..." and a real value of "the" in the embedded sentence "the ...".
focused eigenfunction/eigenfunction: to be translated into an internal name, which identifies the individual N. This has the entire denotation if it is properly adapted.
intentional Icon: Ex "the ___m of..." thus includes two intentional icons or projections on facts. But these are different from the purpose of the sentence as a whole or a subset.
embedded sentence: does not only want to introduce the listener to a fact, but o show to which complex category belongs what corresponds to the subject in the independent sentence containing the embedded sentence.
Reference: that's how the reference of a designation is determined.
Sense / Millikan: now it is clear why I have called sense the rules. Because the various markings differ in terms of the rules, even if they have the same references.
Sense according to Frege/Millikan: this difference of rules is the difference in meaning.
Meaning/reference/MillikanVsFrege: but a reference has to take on only a meaning of a certain kind. Thus, there is something that has been previously discriminated before the meaning of the remainder of the sentence has been identified.
I 191
Reference/meaning/Millikan: but the having of meaning or of references are very similar types of "having".
I 274
Property/object/predicate/substance/individual/ontology/Millikan: Strawson'S distinction between "monogamous" and "non-monogamous" entities is not absolute but relative: Object/thing: Ex if my ring is made of gold, it can not be made of silver at the same time.
polygamous: Gold is relative to my ring. ((S) it could have been made of silver - the gold could have belonged to another subject.). Then gold is a property (as opposed to another) and my ring a substance.
But in relation to other substances the identity of gold seems to be like the identity of an individual.
Ontology/MillikanVsFrege/MillikanVsRussell: we must drop the rigid distinction between concept and object or individual thing and property.
I 275
Description: not only predicates are variations in world states, but also substances or individuals (they can be exchanged). Substance: if we consider gold as a property that does not prevent interpreting it also as a substance. As Aristotle said:
Individuals/Aristotle/Millikan: are merely primary substances, not the only substances that exist, that is, substances which are not properties of something else.
Substance/Millikan: is actually an epistemic category.
Substance/Millikan: Ex Gold, Ex Domestic Cat, Ex '69 Plymouth Valiant 100th.
Substance/category/Millikan: substances fall into categories defined by exclusive classes, in regard to which they are determined.
Ex gold and silver fall into the same category because they belong to the same exclusive classes: have a melting point, atomic weight, etc.
I 308
Truth/accuracy/criterion/Quine/Millikan: For Quine a criterion for correct thinking seems to be that the relation to a stimulus can be predicted. MillikanVsQuine: but how does learning to speak in unison facilitate the prediction?
Correspondence/MillikanVsQuine/MillikanVsWittgenstein: both are not aware of what conformity in judgments really is: it is not to speak in unison. If one does not say the same, that does not mean that one does not agree.
Solution/Millikan: correspondence is to say the same about the same.
Mismatch: can arise only if sentences have subject-predicate structure and negation is permitted.
One-word sentence/QuineVsFrege/Millikan: Quine goes so far as to allow the sentence "Ouch!" He thinks the difference between word and sentence in the end only concernes the printer.
Negation/Millikan: the negation of a sentence is not proven by a lack of evidence, but by positive facts (supra).
Contradiction/Millikan: that we do not agree on a sentence and its negation simultaneously lies in the nature (natural necessity).
I 309
Thesis: lack of contradiction is essentially based on the ontological structure of the world.

Millikan I
R. G. Millikan
Language, Thought, and Other Biological Categories: New Foundations for Realism Cambridge 1987

Millikan II
Ruth Millikan
"Varieties of Purposive Behavior", in: Anthropomorphism, Anecdotes, and Animals, R. W. Mitchell, N. S. Thomspon and H. L. Miles (Eds.) Albany 1997, pp. 189-1967
In
Der Geist der Tiere, D Perler/M. Wild Frankfurt/M. 2005
Leibniz, G.W. Strawson Vs Leibniz, G.W. Hacking I 162
Monads / StrawsonVsLeibniz: the idea of a complete description is at all useless! ---
VII 116
StrawsonVsLeibniz/StrawsonVsRussell: both assume that the conventions that apply to existence, must also apply to statements of facts.

Strawson I
Peter F. Strawson
Individuals: An Essay in Descriptive Metaphysics. London 1959
German Edition:
Einzelding und logisches Subjekt Stuttgart 1972

Strawson II
Peter F. Strawson
"Truth", Proceedings of the Aristotelian Society, Suppl. Vol XXIV, 1950 - dt. P. F. Strawson, "Wahrheit",
In
Wahrheitstheorien, Gunnar Skirbekk Frankfurt/M. 1977

Strawson III
Peter F. Strawson
"On Understanding the Structure of One’s Language"
In
Truth and Meaning, G. Evans/J. McDowell Oxford 1976

Strawson IV
Peter F. Strawson
Analysis and Metaphysics. An Introduction to Philosophy, Oxford 1992
German Edition:
Analyse und Metaphysik München 1994

Strawson V
P.F. Strawson
The Bounds of Sense: An Essay on Kant’s Critique of Pure Reason. London 1966
German Edition:
Die Grenzen des Sinns Frankfurt 1981

Strawson VI
Peter F Strawson
Grammar and Philosophy in: Proceedings of the Aristotelian Society, Vol 70, 1969/70 pp. 1-20
In
Linguistik und Philosophie, G. Grewendorf/G. Meggle Frankfurt/M. 1974/1995

Strawson VII
Peter F Strawson
"On Referring", in: Mind 59 (1950)
In
Eigennamen, Ursula Wolf Frankfurt/M. 1993

Hacking I
I. Hacking
Representing and Intervening. Introductory Topics in the Philosophy of Natural Science, Cambridge/New York/Oakleigh 1983
German Edition:
Einführung in die Philosophie der Naturwissenschaften Stuttgart 1996
Moore, G.E. Ayer Vs Moore, G.E. Horwich I 52
RussellVsPropositionsRussellVsRussell: (later, Logic and Knowledge, 1956, p. 223): I used to think there were some. But that would only be shadowy additional things to facts. CartwrightVsRussell: we still do not know what the objection against them is!".
Horwich I 53
Fact/AyerVsMoore: expresses himself unclearly when he says, "the fact does not exist". Properly, it should be: "There is no fact". ("There is"/Existing/"Being"). (Ayer, Russell and Moore, p. 210). CartwrightVsMoore: it still remains a poor argument: it cannot be concluded that because a false belief has no fact as an object it has no object at all.
What Moore meant becomes more clear in "Some Main Problems": the proposition "that lions exist" is definitely in the universe, if someone believes that, regardless of whether it is true or false. Because the expressions "that lions exist" and "the existence of lions" are names for that which is believed. (p. 260).
Cartwright: at first this looks like a mistake, but it’s not: because he seems to have accepted (together with Russell) that what is believed can be named with a verb ("verbal noun").
Horwich I 54
Then we seem to have a demonstration that there is no such thing as the proposition that E.g. there is no subway in Boston. Because if there were one, there would also have to be such a thing as the non-existence of a subway in Boston. And this cannot exist, because there is a subway in Boston. Cartwright: what is the basis of this argument, the assumption that what is believed may be referred to by a verb (verbal noun)?.
CartwrightVsMoore: the argument is not very convincing: Maybe the sentence E.g. "Brown believes that God exists" is synonymous with "Brown believes in the existence of God." But it does not follow that what Brown believes is the existence of God. ((s) The "object" (object of the belief) is on the one hand a sentence with "that", and on the other hand the actual existence). (FN 19).
The reason for this lies in Russell’s access to propositions:
(8) Brown is taller than Smith.
Horwich I 56
Fact/proposition/CartwrightVsMoore/CartwrightVsRussell: Problem: now it is just hard to see how a proposition can be anything but true! (FN 23). If in (8) Brown is linked to Smith the way it is said above, how can Brown be anything but taller than Smith?. Russell: E.g. the proposition "A is different from B". The components seem to be only A, B and difference. Nevertheless, they do not constitute the proposition when they are next to each other. The Proposition combines the parts in more ways than a mere list. (FN 24).
Cartwright: nevertheless, if the proposition links the parts like this, it cannot be wrong!.
Cartwright: if a proposition like (8) exists, then Brown is taller than Smith.
Russell: in "Principles" he was also aware that there is a difficulty, but as a solution he could only propose:
Russell: if a proposition is true, it has another quality apart from that which it shares with other propositions. (p. 49).
Cartwright: this additional quality should of course be the simple, unanalysable truth. But this appeal comes too late! Either the components are linked properly, then the proposition is invariably true, or they are not, then we have no proposition at all. (1)


1. R. Cartwright, „A Neglected Theory of Truth“ , Philosophical Essays, Cambridge/MA pp. 71-93, In:
Theories of Truth, Paul Horwich Aldershot 1994

Ayer I
Alfred J. Ayer
"Truth" in: The Concept of a Person and other Essays, London 1963
In
Wahrheitstheorien, Gunnar Skirbekk Frankfurt/M. 1977

Ayer II
Alfred Jules Ayer
Language, Truth and Logic, London 1936
In
Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke

Ayer III
Alfred Jules Ayer
"The Criterion of Truth", Analysis 3 (1935), pp. 28-32
In
Theories of Truth, Paul Horwich Aldershot 1994

Horwich I
P. Horwich (Ed.)
Theories of Truth Aldershot 1994
Moore, G.E. Cartwright Vs Moore, G.E. Horwich I 45
Correspondence theory/CartwrightVsmoore: Problem: there is also a property of coincidence (correspondence) which does not have the false proposition. And that seems to depend undeniably on the world! On a fact. Fact: the proposition is true if it is a fact that there are subways in Boston, otherwise it is false. CartwrightVsMoore/CartwrightVsRussell: it is precisely this which the theory of truth ignores as a simple, unanalysable property. But both were aware of this. ("Meinong Theory", p 75). They stuck to it, because: RussellVsCorrespondence theory, MooreVsCorrespondence theory.
I 47
Fact/True proposition/Moore/Cartwright: (Moore: Some Main P, pp 262): seems to have explained his former theory wrongly there: Tact/MooreVsMoore: (late): does not consist in a proposition having a simple property while remaining the same, regardless of whether it is true or false. Even if we concede the existence of propositions. The relation of the proposition to the fact is not simply that the proposition is a constituent of the fact, one of the elements of which it is composed. Moore/Cartwright: otherwise, one would have to say that E.g. the fact that lions exist was a fact about the proposition that lions exist. But how is this relevant for Moore’s earlier theory? Because that was not what it was about, but rather that the fact that lions exist simply is the proposition. (Moore, early: fact = true proposition, not part of it) The simple property (truth) is possessed by the proposition itself.
I 48
Anyone who believes that the proposition that lions exist is true, believes the corresponding proposition. The fact here is that the proposition is true. Fact/Moore: (early): consists in that the proposition possesses the simple property of truth. Fact/Moore/late: (Some Main P, misrepresenting his earlier theory): now consists in the possession of the truth (simple property) by the proposition. Important argument: then there is no identity fact = true proposition: because identity does not consist in itself having a property. ((s) A does not consist of the fact that A has the property F,> consist in, consist of, identity). Moore/Cartwright: the time of "Some Main .." he had come to the view that the relation theory of beliefs (acceptance of belief objects) is inconsistent with the identification of facts with true propositions. Now a relation was searched rather than the identity and his solution was the relation of "consisting in": Def Fact/Moore: (Some Main Problems): consists in the possession of truth by the proposition. (still simple property). CartwrightVsMoore: he saw himself that this was not very successful: there are facts that do not consist in a proposition having a certain simple property.
CartwrightVsMoore: worse: once facts and propositions are distinguished, no simple property (truth) is needed anymore. Instead, we now have facts as the corresponding ones! It was precisely this inability to distinguish propositions and facts that had led Moore and Russell to the theory of truth as a simple unanalysable property!.
Fact/Proposition/Moore/Cartwright: what had led Moore to start believing that propositions and facts cannot be identified?.
I 49
E.g. Suppose Brown believes that there are subways in Boston. Moore/Russell/early: then there is a corresponding proposition that Brown believes.
Problem: even if the belief had been wrong, Brown would have needed a faith object. Because what someone believes cannot depend on its truth!.
So the believed proposition is definitely in the universe. But if the proposition is false, there is no corresponding fact in the universe. So propositions cannot be identical with facts. Ayer: this is a compelling argument. Cartwright: but for me it does not refute the early theory!. Russell/Moore/Early/Cartwright: sure, if something is true of a proposition, and it is not true of the corresponding fact, then proposition and fact are not the identical. But is this case given here? According to the early theory, the proposition would be in the universe anyway, even if it were wrong. Question: Is Moore right to say that the same does not apply to the fact? CartwrightVsMoore: it is not obvious that if the belief, e.g. that there are underground trains in Boston, was wrong, it would be necessary that something that actually exists in the universe, (namely that there are underground trains in Boston) would then be missing in the universe. Surely it would not be fact, but that does not mean that an entity would be missing if the belief had been wrong.
I 50
Analogy: e.g. there is someone in the universe who can be correctly described as the author of Word and Object (namely Quine). Now, it could easily have been the case that Quine had not written the book. But that would not require Quine (= author of W + O) to not exist in the universe! E.g. Someone else might also have written the book. Furthermore, all persons who actually are in the universe, would not have had to be in the universe. Moore/Early/Cartwright: According to Moore’s earlier theory one might have thought that by analogy, something could also be in the universe that is "correctly described" with that there are underground trains in Boston, which, in the case that there were no underground trains in Boston, would not be a fact. That is wrong because of the false analogy between people and abstract belief objects). CartwrightVsMoore: (early): a follower of the early theory would have expressed the true same proposition with the following two sentences: (3) The fact that there are underground trains in Boston would not have had to be the fact that there are underground trains in Boston. and
(4) The author of Word and Object would not have had to be the author of Word and Object. CartwrightVsMoore: (early): With that he would have assumed that "the fact that" would have been a rigid designator.

Car I
N. Cartwright
How the laws of physics lie Oxford New York 1983

CartwrightR I
R. Cartwright
A Neglected Theory of Truth. Philosophical Essays, Cambridge/MA pp. 71-93
In
Theories of Truth, Paul Horwich Aldershot 1994

CartwrightR II
R. Cartwright
Ontology and the theory of meaning Chicago 1954

Horwich I
P. Horwich (Ed.)
Theories of Truth Aldershot 1994
Russell, B. Prior Vs Russell, B. PriorVsRussell
I 7
Belief/Theory of Multiple Relation/Meinong/Russell/Prior: (also realistic): Proposition/Meinong: he calls "objects" and facts a subclass: the true propositions. Thus, only two instead of three types of abstract objects remain. But for some this is still too much.
Russell/Moore: they eliminated "falsity", but kept facts as abstract objects.
Russell: represented two variants:
a) major difference: between belief and knowledge. (Theory of multiple relations)
b) between true and false beliefs.
ad a): Knowledge is always of facts and is a double-digit relation between two real objects, the knower and the known fact.
Belief, however, is not a double-digit relation,
I 8
but a multi-digit one between the believer and various elements, which (if they existed) would be the believed proposition. E.g. Othello believes that Desdemona loves Cassio, or believes in Desdemona's infidelity. Problem: There is no object that is Desdemona's infidelity.
Solution: Attribution! He attributed infidelity!
I.e. the story is about two real objects, Desdemona and infidelity, and Othello is in the complex relation of attribution.
I 9
 Russell: in this sense, propositions are logical constructions. PriorVsRussell: propositions are logical constructions, but not for this reason.
1) Although Russell's theory does not require us to believe that there is an object such as Desdemona's infidelity, it nevertheless requires us to believe that about Desdemona herself there is an object as her fidelity!
2) Russell's construction is a four-term relation instead of a three-term relation.
Russell: revised (1) (following Wittgenstein), but not (2).
Belief/Russell: (late): sentences that describe beliefs have two verbs and none is swallowed by an abstract noun. (?).
Prior: neverthelss, precisely in the attribution of infidelity, this abstract object infidelity requires an explanation.
And also a kind of "universal infidelity".

I 31
PriorVsRussell: multiple relations: With his solution, Russell burdens himself with new abstract entities. And the same might be said about Ramsey's solution.
Abstract Entities/Verb/Predicate/Prior: but we cannot get rid of all of them, anyway!
Verb: I can dissolve it: instead of "Jones smokes" I can say "I predict the smoking of Jones".
But then I have another verb again: "I predict"!
Verbs and nouns are always needed.

Pri I
A. Prior
Objects of thought Oxford 1971

Pri II
Arthur N. Prior
Papers on Time and Tense 2nd Edition Oxford 2003
Russell, B. Quine Vs Russell, B. Chisholm II 75
Predicates/Denote/Russell: denoting expressions: proper names stand for individual things and general expressions for universals. (Probleme d. Phil. p. 82f). In every sentence, at least one word refers to a universal. QuineVsRussell: confusion!
II 108
Theory of Descriptions/VsRussell/Brandl: thus the whole theory is suspected of neglecting the fact that material objects can never be part of propositions. QuineVsRussell: confusion of mention and use.
Quine II 97
Pricipia mathematica, 1903: Here, Russell's ontology is rampant: every word refers to something. If a word is a proper name, then its object is a thing, otherwise it is a concept. He limits the term "existence" to things, but has a liberal conception of things which even includes times and points in empty space! Then there are, beyond the existent things, other entities: "numbers, the gods of Homer, relationships, fantasies, and four-dimensional space". The word "concept", used by Russell in this manner, has the connotation of "merely a concept". Caution: Gods and fantasies are as real as numbers for Russell!
QuineVsRussell: this is an intolerably indiscriminate ontology. Example: Take impossible numbers, e.g. prime numbers that are divisible by 6. It must be wrong in a certain sense that they exist, and that is in a sense in which it is right that there are prime numbers! Do fantasies exist in this sense?

II 101
Russell has a preference for the term "propositional function" against "class concept". In P.M. both expressions appear. Here: Def "Propositional Function": especially based on forms of notation, e.g. open sentences, while concepts are decidedly independent of notation. However, according to Meinong Russell's confidence is in concepts was diminished, and he prefers the more nominalistic sound of the expression "propositional function" which is now carries twice the load (later than Principia Mathematica.)
Use/Mention/Quine: if we now tried to deal with the difference between use and mention as carelessly as Russell has managed to do sixty years ago, we can see how he might have felt that his theory of propositional functions was notation based, while a theory of types of real classes would be ontological.
Quine: we who pay attention to use and mention can specify when Russell's so-called propositional functions as terms (more specific than properties and relations) must be construed as concepts, and when they may be construed as a mere open sentences or predicates: a) when he quantifies about them, he (unknowingly) reifies them as concepts.
For this reason, nothing more be presumed for his elimination of classes than I have stated above: a derivation of the classes from properties or concepts by means of a context definition that is formulated such that it provides the missing extensionality.
QuineVsRussell: thinks wrongly that his theory has eliminated classes more thoroughly from the world than in terms of a reduction to properties.
II 102
RussellVsFrege: "~ the entire distinction between meaning and designating is wrong. The relationship between "C" and C remains completely mysterious, and where are we to find the designating complex which supposedly designates C?" QuineVsRussell: Russell's position sometimes seems to stem from a confusion of the expression with its meaning, sometimes from the confusion of the expression with its mention.
II 103/104
In other papers Russel used meaning usually in the sense of "referencing" (would correspond to Frege): "Napoleon" particular individual, "human" whole class of such individual things that have proper names.
Russell rarely seems to look for an existing entity under any heading that would be such that we could call it the meaning that goes beyond the existing referent.
Russell tends to let this entity melt into the expression itself, a tendency he has in general when it comes to existing entities.
QuineVsRussell: for my taste, Russell is too wasteful with existing entities. Precisely because he does not differentiate enough, he lets insignificance and missed reference commingle.
Theory of Descriptions: He cannot get rid of the "King of France" without first inventing the description theory: being meaningful would mean: have a meaning and the meaning is the reference. I.e. "King of France" without meaning, and "The King of France is bald" only had a meaning, because it is the short form of a sentence that does not contain the expression "King of France".
Quine: actually unnecessary, but enlightening.
Russell tends commingle existing entities and expressions. Also on the occasion of his remarks on
Propositions: (P.M.): propositions are always expressions, but then he speaks in a manner that does not match this attitude of the "unity of the propositions" (p.50) and of the impossibility of infinite propositions (p.145)
II 105
Russell: The proposition is nothing more than a symbol, even later, instead: Apparently, propositions are nothing..." the assumption that there are a huge number of false propositions running around in the real, natural world is outrageous." Quine: this revocation is astounding. What is now being offered to us instead of existence is nothingness. Basically Russell has ceased to speak of existence.
What had once been regarded as existing is now accommodated in one of three ways
a) equated with the expression,
b) utterly rejected
c) elevated to the status of proper existence.

II 107
Russell/later: "All there is in the world I call a fact." QuineVsRussell: Russell's preference for an ontology of facts depends on his confusion of meaning with reference. Otherwise he would probably have finished the facts off quickly.
What the reader of "Philosophy of logical atomism" notices would have deterred Russell himself, namely how much the analysis of facts is based on the analysis of language.
Russell does not recognize the facts as fundamental in any case. Atomic facts are as atomic as facts can be.
Atomic facts/Quine: but they are composite objects! Russell's atoms are not atomic facts, but sense data!

II 183 ff
Russell: Pure mathematics is the class of all sentences of the form "p implies q" where p and q are sentences with one or more variables, and in both sets the same. "We never know what is being discussed, nor if what we say is true."
II 184
This misinterpretation of mathematics was a response to non-Euclidean geometry. Numbers: how about elementary arithmetic? Pure numbers, etc. should be regarded as uninterpreted. Then the application to apples is an accumulation.
Numbers/QuineVsRussell: I find this attitude completely wrong. The words "five" and "twelve" are nowhere uninterpreted, they are as much essential components of our interpreted language as apples. >Numbers. They denote two intangible objects, numbers that are the sizes of quantities of apples and the like. The "plus" in addition is also interpreted from start to finish, but it has nothing to do with the accumulation of things. Five plus twelve is: how many apples there are in two separate piles. However, without pouring them together. The numbers "five" and "twelve" differ from apples in that they do not denote a body, that has nothing to do with misinterpretation. The same could be said of "nation" or "species". The ordinary interpreted scientific speech is determined to abstract objects as it is determined to apples and bodies. All these things appear in our world system as values ​​of variables.
II 185
It even has nothing to do with purity (e.g. of the set theory). Purity is something other than uninterpretedness.
XII 60
Expression/Numbers/Knowledge/Explication/Explanation/Quine: our knowledge of expressions is alone in their laws of interlinking. Therefore, every structure that fulfills these laws can be an explication.
XII 61
Knowledge of numbers: consists alone in the laws of arithmetic. Then any lawful construction is an explication of the numbers. RussellVs: (early): Thesis: arithmetic laws are not sufficient for understanding numbers. We also need to know applications (use) or their embedding in the talk about other things.
Number/Russell: is the key concept here: "there are n such and suches".
Number/Definition/QuineVsRussell: we can define "there are n such and suches" without ever deciding what numbers are beyond their fulfillment of arithmetic addition.
Application/Use/QuineVsRussell: wherever there is structure, the applications set in. E.g. expressions and Gödel numbers: even the mention of an inscription was no definitive proof that we are talking about expressions and not about Gödel numbers. We can always say that our ostension was shifted.

VII (e) 80
Principia Mathematica(1)/PM/Russell/Whitehead/Quine: shows that the whole of mathematics can be translated into logic. Only three concepts need to be clarified: Mathematics, translation and logic.
VII (e) 81
QuineVsRussell: the concept of the propositional function is unclear and obscures the entire PM.
VII (e) 93
QuineVsRussell: PM must be complemented by the axiom of infinity if certain mathematical principles are to be derived.
VII (e) 93/94
Axiom of infinity: ensures the existence of a class with infinitely many elements. Quine: New Foundations instead makes do with the universal class: θ or x^ (x = x).


1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press.

VII (f) 122
Propositional Functions/QuineVsRussell: ambiguous: a) open sentences
b) properties.
Russell no classes theory uses propositional functions as properties as value-bound variables.

IX 15
QuineVsRussell: inexact terminology. "Propositional function", he used this expression both when referring to attributes (real properties) and when referring to statements or predicates. In truth, he only reduced the theory of classes to an unreduced theory of attributes.
IX 93
Rational Numbers/QuineVsRussell: I differ in one point: for me, rational numbers are themselves real numbers, not so for Russell and Whitehead. Russell: rational numbers are pairwise disjoint for them like those of Peano. (See Chapter 17), while their real numbers are nested. ((s) pairwise disjoint, contrast: nested)
Natural Numbers/Quine: for me as for most authors: no rational integers.
Rational Numbers/Russell: accordingly, no rational real numbers. They are only "imitated" by the rational real numbers.
Rational Numbers/QuineVsRussell: for me, however, the rational numbers are real numbers. This is because I have constructed the real numbers according to Russell's version b) without using the name and the designation of rational numbers.
Therefore, I was able to retain name and designation for the rational real numbers

IX 181
Type Theory/TT/QuineVsRussell: in the present form our theory is too weak to prove some sentences of classical mathematics. E.g. proof that every limited class of real numbers has a least upper boundary (LUB).
IX 182
Suppose the real numbers were developed in Russell's theory similar to Section VI, however, attributes were now to take the place of classes and the alocation to attributes replaces the element relation to classes. LUB: (Capters 18, 19) of a limited class of real numbers: the class Uz or {x:Ey(x ε y ε z)}.
Attribute: in parallel, we might thus expect that the LUB of a limited attribute φ of real numbers in Russell's system is equal to the
Attribute Eψ(φψ u ψ^x).
Problem: under Russell's order doctrine is this LUB ψ is of a higher order than that of the real numbers ψ which fall under the attribute φ whose LUB is sought.
Boundary/LUB/QuineVsRussell: You need LUB for the entire classic technique of calculus, which is based on continuity. However, LUB have no value for these purposes if they are not available as values ​​of the same variables whose value range already includes those numbers whose upper boundary is wanted.
An upper boundary (i.e. LUB) of higher order cannot be the value of such variables, and thus misses its purpose.
Solution/Russell: Axiom of Reducibility:
Def Axiom of Reducibility/RA/Russell/Quine: every propositional function has the same extension as a certain predicative one. I.e.
Ey∀x(ψ!x φx), Eψ∀x∀y[ψ!(x,y) φ(x,y)], etc.
IX 184
VsConstruktivism/Construction/QuineVsRussell: we have seen Russell's constructivist approach to the real numbers fail (LUB, see above). He gave up on constructivism and took refuge in the RA.
IX 184/185
The way he gave it up had something perverse to it: Axiom of Reducibility/QuineVsRussell: the RA implies that all the distinctions that gave rise to its creation are superfluous! (... + ...)

IX 185
Propositional Function/PF/Attribute/Predicate/TT/QuineVsRussell: overlooked the following difference and its analogs: a) "propositional functions": as attributes (or intentional relations) and
b) proposition functions: as expressions, i.e. predicates (and open statements: e.g. "x is mortal") Accordingly:
a) attributes
b) open statements
As expressions they differ visibly in the order if the order is to be assessed on the basis of the indices of bound variables within the expression. For Russell everything is "AF".
Since Russell failed to distinguish between formula and object (word/object, mention/use), he did not remember the trick of allowing that an expression of higher order refers straight to an attribute or a relation of lower order.

X 95
Context Definition/Properties/Stage 2 Logic/Quine: if you prefer properties as sets, you can introduce quantification over properties, and then introduce quantification over sets through a schematic context definition. Russell: has taken this path.
Quine: but the definition has to ensure that the principle of extensionality applies to sets, but not to properties. That is precisely the difference.
Russell/QuineVsRussell: why did he want properties?
X 96
He did not notice at which point the unproblematic talk of predicates capsized to speaking about properties. ((s) object language/meta language/mention/use). Propositional Function/PF: Russell took it over from Frege.
QuineVsRussell: he sometimes used PF to refer to predicates, sometimes to properties.

Quine I
W.V.O. Quine
Word and Object, Cambridge/MA 1960
German Edition:
Wort und Gegenstand Stuttgart 1980

Quine II
W.V.O. Quine
Theories and Things, Cambridge/MA 1986
German Edition:
Theorien und Dinge Frankfurt 1985

Quine III
W.V.O. Quine
Methods of Logic, 4th edition Cambridge/MA 1982
German Edition:
Grundzüge der Logik Frankfurt 1978

Quine V
W.V.O. Quine
The Roots of Reference, La Salle/Illinois 1974
German Edition:
Die Wurzeln der Referenz Frankfurt 1989

Quine VI
W.V.O. Quine
Pursuit of Truth, Cambridge/MA 1992
German Edition:
Unterwegs zur Wahrheit Paderborn 1995

Quine VII
W.V.O. Quine
From a logical point of view Cambridge, Mass. 1953

Quine VII (a)
W. V. A. Quine
On what there is
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (b)
W. V. A. Quine
Two dogmas of empiricism
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (c)
W. V. A. Quine
The problem of meaning in linguistics
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (d)
W. V. A. Quine
Identity, ostension and hypostasis
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (e)
W. V. A. Quine
New foundations for mathematical logic
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (f)
W. V. A. Quine
Logic and the reification of universals
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (g)
W. V. A. Quine
Notes on the theory of reference
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (h)
W. V. A. Quine
Reference and modality
In
From a Logical Point of View, Cambridge, MA 1953

Quine VII (i)
W. V. A. Quine
Meaning and existential inference
In
From a Logical Point of View, Cambridge, MA 1953

Quine VIII
W.V.O. Quine
Designation and Existence, in: The Journal of Philosophy 36 (1939)
German Edition:
Bezeichnung und Referenz
In
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982

Quine IX
W.V.O. Quine
Set Theory and its Logic, Cambridge/MA 1963
German Edition:
Mengenlehre und ihre Logik Wiesbaden 1967

Quine X
W.V.O. Quine
The Philosophy of Logic, Cambridge/MA 1970, 1986
German Edition:
Philosophie der Logik Bamberg 2005

Quine XII
W.V.O. Quine
Ontological Relativity and Other Essays, New York 1969
German Edition:
Ontologische Relativität Frankfurt 2003

Quine XIII
Willard Van Orman Quine
Quiddities Cambridge/London 1987

Chisholm I
R. Chisholm
The First Person. Theory of Reference and Intentionality, Minneapolis 1981
German Edition:
Die erste Person Frankfurt 1992

Chisholm II
Roderick Chisholm

In
Philosophische Aufsäze zu Ehren von Roderick M. Ch, Marian David/Leopold Stubenberg Amsterdam 1986

Chisholm III
Roderick M. Chisholm
Theory of knowledge, Englewood Cliffs 1989
German Edition:
Erkenntnistheorie Graz 2004
Russell, B. Ryle Vs Russell, B. Read III 33
Russell fell into the trap in his account of universals: according to his opinion, atomic statements consists of a number of individuals and a universal. E.g. "Fido is a dog." What does "dog" refer to? According to the "Fido"-Fido-theory of the Fido, it must get its meaning through the fact that it is assigned to a single thing, to "being-a-dog" or the universal, dog. (>RyleVsCarnap).
Statement/Russell's statements were designed by him to make the meaning of sentences. Consequently, he said, they must contain these generic entities, universals.
This is an unjustified step.
---
Read III 296
"Fido"-Fido principle: RyleVs: reference equals meaning. ---
Read III 34
> Various AuthorsVsRussell: >statements, >facts. Russell: believed that predicate expressions, verbs, and adjectives related to universals, "is president" refers to presidency, "runs" to what is common to all things that are going. But many philosophers deny that the concept of the object reference can be applied to such parts of speech.
Meaning: Russell and others simply identify meaning and object reference. (>reference/VsRussell).

Ryle I
G. Ryle
The Concept of Mind, Chicago 1949
German Edition:
Der Begriff des Geistes Stuttgart 1969

Re III
St. Read
Thinking About Logic: An Introduction to the Philosophy of Logic. 1995 Oxford University Press
German Edition:
Philosophie der Logik Hamburg 1997
Russell, B. Wittgenstein Vs Russell, B. Carnap VI 58
Intensional logic/Russell: is not bound to certain statement forms. All of their statements are not translatable into statements about extensions. WittgensteinVsRussell. Later Russell, Carnap pro Wittgenstein.
(Russell, PM 72ff, e.g. for seemingly intensional statements).
E.g. (Carnap) "x is human" and "x mortal":
both can be converted into an extensional statement (class statement).
"The class of humans is included in the class of mortals".
---
Tugendhat I 453
Definition sortal: something demarcated that does not permit any arbitrary distribution . E.g. Cat. Contrast: mass terminus. E.g. water.
I 470
Sortal: in some way a rediscovery of the Aristotelian concept of the substance predicate. Aristotle: Hierarchy: low: material predicates: water, higher: countability.
Locke: had forgotten the Aristotelian insight and therefore introduced a term for the substrate that, itself not perceivable, should be based on a bunch of perceptible qualities.
Hume: this allowed Hume to reject the whole.
Russell and others: bunch of properties. (KripkeVsRussell, WittgensteinVsRussell, led to the rediscovery of Sortals).
E.g. sortal: already Aristotle: we call something a chair or a cat, not because it has a certain shape, but because it fulfills a specific function.
---
Wittgenstein I 80
Acquaintance/WittgensteinVsRussell/Hintikka: eliminates Russell's second class (logical forms), in particular Russell's free-floating forms, which can be expressed by entirely general propositions. So Wittgenstein can say now that we do not need any experience in the logic.
This means that the task that was previously done by Russell's second class, now has to be done by the regular objects of the first class.
This is an explanation of the most fundamental and strangest theses of the Tractatus: the logical forms are not only accepted, but there are considered very important. Furthermore, the objects are not only substance of the world but also constitutive for the shape of the world.
I 81
1. the complex logical propositions are all determined by the logical forms of the atomic sentences, and 2. The shapes of the atomic sentences by the shapes of the objects.
N.B.: Wittgenstein refuses in the Tractatus to recognize the complex logical forms as independent objects. Their task must be fulfilled by something else:
I 82
The shapes of simple objects (type 1): they determine the way in which the objects can be linked together. The shape of the object is what is considered a priori of it. The position moves towards Wittgenstein, it has a fixed base in Frege's famous principle of composite character (the principle of functionality, called Frege principle by Davidson (s)> compositionality).
I 86
Logical Form/Russell/Hintikka: thinks, we should be familiar with the logical form of each to understand sentence. WittgensteinVsRussell: disputes this. To capture all logical forms nothing more is needed than to capture the objects. With these, however, we still have to be familiar with. This experience, however, becomes improper that it relates to the existence of objects.
I 94ff
This/logical proper name/Russell: "This" is a (logical) proper name. WittgensteinVsRussell/PU: The ostensive "This" can never be without referent, but that does not turn it into a name "(§ 45).
I 95
According to Russell's earlier theory, there are only two logical proper names in our language for particularistic objects other than the I, namely "this" and "that". One introduces them by pointing to it. Hintikka: of these concrete Russellian objects applies in the true sense of the word, that they are not pronounced, but can only be called. (> Mention/>use).
I 107
Meaning data/Russell: (Mysticism and Logic): sense data are something "Physical". Thus, "the existence of the sense datum is not logically dependent on the existence of the subject." WittgensteinVsRussell: of course this cannot be accepted by Wittgenstein. Not because he had serious doubts, but because he needs the objects for semantic purposes that go far beyond Russell's building blocks of our real world.
They need to be building blocks of all logical forms and the substance of all possible situations. Therefore, he cannot be satisfied with Russell's construction of our own and single outside world of sensory data.
I 108
For the same reason he refused the commitment to a particular view about the metaphysical status of his objects. Also:
Subject/WittgensteinVsRussell: "The subject does not belong to the objects of the world".
I 114
Language/sense data/Wittgenstein/contemporary/Waismann: "The purpose of Wittgenstein's language is, contrary to our ordinary language, to reflect the logical structure of the phenomena."
I 115
Experience/existence/Wittgenstein/Ramsey: "Wittgenstein says it is nonsense to believe something that is not given by the experience, because belonging to me, to be given in experience, is the formal characteristics of a real entity." Sense data/WittgensteinVsRussell/Ramsey: are logical constructions. Because nothing of what we know involves it. They simplify the general laws, but they are as less necessary for them as material objects."
Later Wittgenstein: (note § 498) equates sense date with "private object that stands before my soul".
I 143
Logical form/Russell/Hintikka: both forms of atomic sentences and complex sentences. Linguistically defined there through characters (connectives, quantifiers, etc.). WittgensteinVsRussell: only simple forms. "If I know an object, I also know all the possibilities of its occurrence in facts. Every such possibility must lie in the nature of the object."
I 144
Logical constants/Wittgenstein: disappear from the last and final logical representation of each meaningful sentence.
I 286
Comparison/WittgensteinVsRussell/Hintikka: comparing is what is not found in Russell's theory.
I 287
And comparing is not to experience a phenomenon in the confrontation. Here you can see: from a certain point of time Wittgenstein sees sentences no more as finished pictures, but as rules for the production of images.
---
Wittgenstein II 35
Application/use/WittgensteinVsRussell: he overlooked that logical types say nothing about the use of the language. E.g. Johnson says red differed in a way from green, in which red does not differ from chalk. But how do you know that? Johnson: It is verified formally, not experimentally.
WittgensteinVsJohnson: but that is nonsense: it is as if you would only look at the portrait, to judge whether it corresponds to the original.
---
Wittgenstein II 74
Implication/WittgensteinVsRussell: Paradox for two reasons: 1. we confuse the implication with drawing the conclusions.
2. in everyday life we never use "if ... then" in this sense. There are always hypotheses in which we use that expression. Most of the things of which we speak in everyday life, are in reality always hypotheses. E.g.: "all humans are mortal."
Just as Russell uses it, it remains true even if there is nothing that corresponds to the description f(x).
II 75
But we do not mean that all huamns are mortal even if there are no humans.
II 79
Logic/Notation/WittgensteinVsRussell: his notation does not make the internal relationships clear. From his notation does not follow that pvq follows from p.q while the Sheffer-stroke makes the internal relationship clear.
II 80
WittgensteinVsRussell: "assertion sign": it is misleading and suggests a kind of mental process. However, we mean only one sentence. ((s) Also WittgensteinVsFrege). > Assertion stroke.
II 100
Skepticism/Russell: E.g. we could only exist, for five minutes, including our memories. WittgensteinVsRussell: then he uses the words in a new meaning.
II 123
Calculus/WittgensteinVsRussell: jealousy as an example of a calculus with three binary relations does not add an additional substance to the thing. He applied a calculus on jealousy.
II 137
Implication/paradox/material/existence/WittgensteinVsRussell: II 137 + applicable in Russell's notation, too: "All S are P" and "No S is P", is true when there is no S. Because the implications are also verified by ~ fx. In reality this fx is both times independent.
All S are P: (x) gx > .fx
No S is P: (x) gx > ~ fx
This independent fx is irrelevant, it is an idle wheel. Example: If there are unicorns, then they bite, but there are no unicorns = there are no unicorns.
II 152
WittgensteinVsRussell: his writing presupposes that there are names for every general sentence, which can be given for the answer to the question "what?" (in contrast to "what kind?"). E.g. "what people live on this island?" one may ask, but not: "which circle is in the square?". We have no names "a", "b", and so on for circles.
WittgensteinVsRussell: in his notation it says "there is one thing which is a circle in the square."
Wittgenstein: what is this thing? The spot, to which I point? But how should we write then "there are three spots"?
II 157
Particular/atom/atoms/Wittgenstein: Russell and I, we both expected to get through to the basic elements ("individuals") by logical analysis. Russell believed, in the end there would be subject predicate sentences and binary relations. WittgensteinVsRussell: this is a mistaken notion of logical analysis: like a chemical analysis. WittgensteinVsAtomism.
Wittgenstein II 306
Logic/WittgensteinVsRussell: Russell notes: "I met a man": there is an x such that I met x. x is a man. Who would say: "Socrates is a man"? I criticize this not because it does not matter in practical life; I criticize that the logicians do not make these examples alive.
Russell uses "man" as a predicate, even though we almost never use it as such.
II 307
We could use "man" as a predicate, if we would look at the difference, if someone who is dressed as a woman, is a man or a woman. Thus, we have invented an environment for this word, a game, in which its use represents a move. If "man" is used as a predicate, the subject is a proper noun, the proper name of a man.
Properties/predicate/Wittgenstein: if the term "man" is used as a predicate, it can be attributed or denied meaningfully to/of certain things.
This is an "external" property, and in this respect the predicate "red" behaves like this as well. However, note the distinction between red and man as properties.
A table could be the owner of the property red, but in the case of "man" the matter is different. (A man could not take this property).
II 308
WittgensteinVsRussell: E.g. "in this room is no man". Russell's notation: "~ (Ex)x is a man in this room." This notation suggests that one has gone through the things in the room, and has determined that no men were among them.
That is, the notation is constructed according to the model by which x is a word like "Box" or else a common name. The word "thing", however, is not a common name.
II 309
What would it mean, then, that there is an x, which is not a spot in the square?
II 311
Arithmetics/mathematics/WittgensteinVsRussell: the arithmetic is not taught in the Russellean way, and this is not an inaccuracy. We do not go into the arithmetic, as we learn about sentences and functions, nor do we start with the definition of the number.

W II
L. Wittgenstein
Wittgenstein’s Lectures 1930-32, from the notes of John King and Desmond Lee, Oxford 1980
German Edition:
Vorlesungen 1930-35 Frankfurt 1989

W III
L. Wittgenstein
The Blue and Brown Books (BB), Oxford 1958
German Edition:
Das Blaue Buch - Eine Philosophische Betrachtung Frankfurt 1984

W IV
L. Wittgenstein
Tractatus Logico-Philosophicus (TLP), 1922, C.K. Ogden (trans.), London: Routledge & Kegan Paul. Originally published as “Logisch-Philosophische Abhandlung”, in Annalen der Naturphilosophische, XIV (3/4), 1921.
German Edition:
Tractatus logico-philosophicus Frankfurt/M 1960

Ca I
R. Carnap
Die alte und die neue Logik
In
Wahrheitstheorien, G. Skirbekk (Hg) Frankfurt 1996

Ca II
R. Carnap
Philosophie als logische Syntax
In
Philosophie im 20.Jahrhundert, Bd II, A. Hügli/P.Lübcke (Hg) Reinbek 1993

Ca IV
R. Carnap
Mein Weg in die Philosophie Stuttgart 1992

Ca IX
Rudolf Carnap
Wahrheit und Bewährung. Actes du Congrès International de Philosophie Scientifique fasc. 4, Induction et Probabilité, Paris, 1936
In
Wahrheitstheorien, Gunnar Skirbekk Frankfurt/M. 1977

Ca VI
R. Carnap
Der Logische Aufbau der Welt Hamburg 1998

CA VII = PiS
R. Carnap
Sinn und Synonymität in natürlichen Sprachen
In
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982

Ca VIII (= PiS)
R. Carnap
Über einige Begriffe der Pragmatik
In
Zur Philosophie der idealen Sprache, J. Sinnreich (Hg) München 1982

Tu I
E. Tugendhat
Vorlesungen zur Einführung in die Sprachanalytische Philosophie Frankfurt 1976

Tu II
E. Tugendhat
Philosophische Aufsätze Frankfurt 1992
Russell, B. Hempel. Vs Russell, B. II 108
Verifiability/Hempel: must show the logical possibility of evidence through observation. But not the technical one, and even less the possibility of finding a corresponding object. Verifiability/Russell: real existence of a set of events.
HempelVsRussell: has never been so represented by an empiricist.
Absurd:
1) the sense could not be justified without empirical facts.
2) allows no conclusive evidence the statements.
HempelVsRussell: the decision of whether a class of observation statements exists, i.e. whether they can be formulated, is a matter of logic and requires no factual information at all.
Verifiability/Hempel: error: to assume true = "principally verifiable". (has also never been represented by a positivist. Is logically absurd:
E.g. we can easily describe the conditions which, if they are given,would verify the statement "The Chrysler Building is painted yellow".
II 109
Problem: according to this principle, the statement and its negation would then both have to be considered to be true.
Russell, B. Holz Vs Russell, B. Leibniz I 64f
Facts of Truth/FoT/Leibniz: are contingent - Reason truths: are necessary. HolzVsRussell: the difference lies in the proof. Otherwise Russell would be right: Truth/necessity/contingent/Russell: it is senseless to say of a true sentence that it is not true in the sense of another, apodictically true proposition. ((s) I.e. that a rational truth would contradict a factual truth).
Holz: for the proof of facts of truth we need the preceding chain of links and (because of the infinite divisibility of the body) an infinite number of sentences.

Holz I
Hans Heinz Holz
Leibniz Frankfurt 1992

Holz II
Hans Heinz Holz
Descartes Frankfurt/M. 1994

Lei II
G. W. Leibniz
Philosophical Texts (Oxford Philosophical Texts) Oxford 1998
Russell, B. Newen Vs Russell, B. New I 74
Description/Russell/Newen: descriptions are only possible with whole sentences. Therefore atom sentences must be added to the minimum vocabulary.
I 75
Ontology/State of Affairs/Russell/Newen: Point: therefore, the ontology of facts is added to the ontology of objects. NewenVsRussell: this connection between epistemology and ontology has implausible consequences, however.

New II
Albert Newen
Analytische Philosophie zur Einführung Hamburg 2005

Newen I
Albert Newen
Markus Schrenk
Einführung in die Sprachphilosophie Darmstadt 2008
Russell, B. Wessel Vs Russell, B. I 14
Ontology/Logic/Psychology/RussellVsLaws of Thought: it is not important that we think in accordance with laws of thought, but that the behavior of things corresponds to them. Russell: what we believe when we believe in the sentence of contradiction is not that our consciousness is constructed this way. We do not believe, for example, that we cannot think at the same time that a tree is a beech and not a beech either. We believe that if the tree is a beech, it cannot be not a beech at the same time.
I 15
And even if belief in the sentence of contradiction is a thought, the sentence of contradiction itself is not a thought, but a fact concerning the things of the outside world. If what we believe would not apply to the things of the outside world, then the fact that we are forced to think like this would not guarantee that the sentence of contradiction cannot be wrong (this shows that it cannot be a law of thought).
WesselVsRussell: logical laws do not concern the outside world! They do not give us any information about the outside world.
The validity results only from the determination of the use of the signs!
Of course, such phrases can also be formulated ontologically, but they are not ontological statements. Where else would we have the certainty that they are unrestrictedly valid? We cannot search the world endlessly.
I 123
Subjunction/Material Implication/Frege/Wessel: Frege calls it "conditionality".
I 123/124
Difference: between the subjunction A > B and a logical conclusion in which the only conclusion rule accepted by Frege is to conclude from A > B and A to B. ((s) modus ponens).
Russell/Whitehead/Principia Mathematica(1): took over from Frege.
"Essential property" of the implication: what is implied by a true statement is true. Through this property, an implication provides evidence.
Def Implication/Russell/Principia Mathematica(1): p > q = def ~ p v q.(Materials Implication).
WesselVsRussell: this is just inappropriate and misleading! It is purely formal!
Implication/Conclusion/Wessel: the implication has a completely different logical structure than the consequence:
Subjunction: > is a two-digit proposition-forming operator and p > q is synonymous with ~p v q.
Conclusion (implication): "q follows logically p" or "P implies q" is a statement about statements: "From the statement p follows logically the statement q". "Follows from" is a two-digit predicate - not an operator.
Conclusion (also called implication) refers to linguistic structures. Notation l-.
Subjunction: > refers to facts.


1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press.

Wessel I
H. Wessel
Logik Berlin 1999
Strawson, P. F. Searle Vs Strawson, P. F. Searle V 160
Referential/attributive/Donnellan: E.g. we come across the mangled corpse of Smith without knowing who committed the murder. We might then say: "The murderer of Smith is crazy" without meaning someone specific.
V 161
E.g.' The man who is (falsely) accused, rioted in the courtroom. In this case, we do not mean: "The killer, whoever he was" but a certain man. referential: should it turn out that Smith committed suicide, our statement about the man in the courtroom would at least in a certain sense still be true.
attributiv: in the attributive meaning it cannot be true if the description doe not apply to anything.
(DonnellanVsRussell, DonnellanVsStrawson: both do not account for the distinction).
referential: S has talked about e, regardless of whether e is actually φ.
He said something true or false about it independent of whether e is actually φ. But he implied it. >Attributive/referential.
One can report correctly about his speech act that he talked about e, because one can report also with other expressions than with "the φ".
If the identification was used attributively, there were no such entity e. (And the speaker would not even have had in mind that it exists).

V 176
Term theory/object/universals/SearleVsStrawson: in what sense is the is by "is red identified term a non-linguistic form? Is the universal in a similar sense a non-linguistic form like the material object? >Term theory. Can the existence of a non-linguistic entity follow from the existence of a linguistic entity? >Universals.
V 177
Universals/Searle: they do not persist in the world, but in the language of our representation of the world. They are however not linguistic in the way as words are (as phonemes), but linguistic in the way in which the meanings of words are linguistic! SearleVsStrawson: considering the usual criteria for distinguishing between linguistic and non-linguistic entities his finding that universals are not linguistic is therefore wrong.
V 178/179
Universals/Searle: so are not identified with the help of facts, but with the help of meanings! Universals/predicate/SearleVsStrawson: shows that "to identify" has both times completely different meanings in the model of the term theory.
V 179/180
According to Strawson we would be forced to assume that also subject expressions identify universals. E.g. "The rose is red". If "is red" identified redness, then "rose" would identify the property of being a rose, something like "roseness". Or e.g.
The thing that is a rose is red.
By this proposition no more and no less universals are identified than by:
The thing that is red is a rose.
I cannot imagine any argument with which it could be shown that hereby "is red" a universal is identified without necessarily showing at the same time, that "is a rose" identifies a universal.
The term theory is not consistent enough. If predicate expressions identify universals (what the theory claims) then subject expressions necessary do this as well!
V 181
Universals/SearleVsStrawson: no non-linguistic entities!

Searle I
John R. Searle
The Rediscovery of the Mind, Massachusetts Institute of Technology 1992
German Edition:
Die Wiederentdeckung des Geistes Frankfurt 1996

Searle II
John R. Searle
Intentionality. An essay in the philosophy of mind, Cambridge/MA 1983
German Edition:
Intentionalität Frankfurt 1991

Searle III
John R. Searle
The Construction of Social Reality, New York 1995
German Edition:
Die Konstruktion der gesellschaftlichen Wirklichkeit Hamburg 1997

Searle IV
John R. Searle
Expression and Meaning. Studies in the Theory of Speech Acts, Cambridge/MA 1979
German Edition:
Ausdruck und Bedeutung Frankfurt 1982

Searle V
John R. Searle
Speech Acts, Cambridge/MA 1969
German Edition:
Sprechakte Frankfurt 1983

Searle VII
John R. Searle
Behauptungen und Abweichungen
In
Linguistik und Philosophie, G. Grewendorf/G. Meggle Frankfurt/M. 1974/1995

Searle VIII
John R. Searle
Chomskys Revolution in der Linguistik
In
Linguistik und Philosophie, G. Grewendorf/G. Meggle Frankfurt/M. 1974/1995

Searle IX
John R. Searle
"Animal Minds", in: Midwest Studies in Philosophy 19 (1994) pp. 206-219
In
Der Geist der Tiere, D Perler/M. Wild Frankfurt/M. 2005

The author or concept searched is found in the following theses of the more related field of specialization.
Disputed term/author/ism Author
Entry
Reference
Description Cresswell, M.J. I 175
Certain Descriptions/Cresswell: so far we have only talked about indefinite ones! Indefinite Description/Russell: Thesis: a man means "at least a man".
Certain Description/Russell: Thesis: the man means "this particular man".
Anaphora/HintikkaVsRussell: tradition has no explanation for the anaphoric use of certain descriptions.
Article/Cresswell: more recent attempts: to incorporate the old linguistic idea into traditional logic, that the indefinite article introduces new objects into speech, while the definite article refers to already introduced entities. This corresponds to:
Article/Kempson: (1975, 111): Thesis: definite/indefinite articles should not be distinguished semantically, but only pragmatically.
Old/new/article/file change semantics/Heim/Cresswell: the distinction between old and new entities in connection with the article can also be found in Heim (1983).
I 176
There it leads to file change semantics/Kamp/Heim: Thesis: as entities in the world, the objects are not new, but only within the speech, hence "files". ("files", "new in the files"). Def File/Heim/Cresswell: represents facts about objects for the speaker.