Dictionary of Arguments


Philosophical and Scientific Issues in Dispute
 
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The author or concept searched is found in the following 3 entries.
Disputed term/author/ism Author
Entry
Reference
Language Medieval Philosophy Gadamer I 438
Language/Word/Object/Medieval/Gadamer: (...) the theological relevance of the problem of language in medieval thought [points] back again and again to the problem of the unity of thought and speech and [brings] (...) thereby (...) a moment to the fore (...) that had not been thought in this way in classical Greek philosophy. The fact that the word is a process in which the unity of what is meant is expressed to perfection - as is thought in verbum speculation (>Word of God/Gadamer) - means something new compared to the Platonic dialectic of the one and many.
>Unity and Multiplicity.
Because for Plato, the Logos itself moves within this dialectic and is nothing but suffering the dialectic of ideas. There is no real problem of interpretation here in so far as the means of interpretation, the word and the speech, are constantly overtaken by the thinking spirit.
Trinity/Gadamer: In contrast to this, we found in the Trinitarian speculation that the process of the divine persons includes the Neoplatonic question of unfolding, i.e. the process of coming forth from the one, and therefore also does justice to the process character of the word for the first time.
>Trinity/Gadamer.
Scholasticism: But the problem of language could only come to a full breakthrough when the scholastic mediation of Christian thought was combined with Aristotelian philosophy through a new moment, which turned the distinction between divine and human spirit into a positive one and was to gain the greatest significance for the modern age. It is the common ground of the creative. (>Creation Myth/Gadamer.) In it, it seems to me that the position of Nicholas of Cues, which has been so much discussed recently,(1) has its real distinction.
>Word of God/Nicholas of Cusa, >Language/Renaissance.

1. Cf. K. Volkmann-Schluck, who seeks to determine the historical location of St. Nicholas from the idea of the "image": Nicolaus Cusanus, 1957; especially pp. 146ff. (as well as J. Koch, Die ars coniecturalis des Nicolaus Cusanus (Arbeitsgemeinschaft für Forschung des Landes Nordrhein-Westfalen, issue 16) and my own works "Nicolaus von Cues und die Philosophie der Gegenwart" (Kl. Schr. Ill, p. 80-88; Vol. 4 of the Ges. Werke) and "Nicolaus von Cues in der Geschichte des Erkenntnisproblems" (Cusanus-Gesellschaft 11 (1975), p. 275-280; Vol. 4 of the Ges. Werke).


Gadamer I
Hans-Georg Gadamer
Wahrheit und Methode. Grundzüge einer philosophischen Hermeneutik 7. durchgesehene Auflage Tübingen 1960/2010

Gadamer II
H. G. Gadamer
The Relevance of the Beautiful, London 1986
German Edition:
Die Aktualität des Schönen: Kunst als Spiel, Symbol und Fest Stuttgart 1977
Mention Locke Arndt II 179
Mention/use/word/object/language/Locke: was the first to have a consciousness of the confusability: to keep the words for the things themselves. Or to put a sign for things that it cannot designate.
Designate: designation is ambivalent: the thought that it was possible that the mere language use gives insight into the nature of the thing signified.
>Language behavior, >Sign, >Meaning, >Use, >Designation, >Denotation.


Loc III
J. Locke
An Essay Concerning Human Understanding


Loc II
H.W. Arndt
"Locke"
In
Grundprobleme der großen Philosophen - Neuzeit I, J. Speck (Hg) Göttingen 1997
Variables Cresswell Hughes I 118
Variables/free/bound/Hughes/Cresswell: it is all about occurrences of variables. - Therefore one and the same variable can be in one and the same formula both bound also occur as free. (> mention / >use /> word /object,
>Word/object, >Free variables, >Bound variables.
A token of x can be free and once again bound in the same formula.
Hughes I 120
Free variables/inserting/propositional calculus/Hughes/Cresswell: when evaluating a formula, we must assume that the other possibly occurring free variables are constant. >Valuation.

Cr I
M. J. Cresswell
Semantical Essays (Possible worlds and their rivals) Dordrecht Boston 1988

Cr II
M. J. Cresswell
Structured Meanings Cambridge Mass. 1984


Hughes I
G.E. Hughes
Maxwell J. Cresswell
Einführung in die Modallogik Berlin New York 1978

The author or concept searched is found in the following 3 controversies.
Disputed term/author/ism Author Vs Author
Entry
Reference
Intensions Wessel Vs Intensions I 352
Word/Object/Mention/Use/WesselVsIntension: instead: Differentiation: Occurrence of terms and statements as terms and statements
and:
Occurrence only as mere physical things (sounds and lines).
Physical thing: not term
Example the statement A occurs in the statements
~A and A u B
as a statement.
But:
in the expressions:
"the statement "A" (tA) and
"the fact that A" (sA)
occur merely as a physical thing, as a graphic part, which has the form A.

Wessel I
H. Wessel
Logik Berlin 1999
Quine, W.V.O. Strawson Vs Quine, W.V.O. NS I 149
Strawson/Newen/Schrenk: pro descriptive metaphysicsVsRevisionist metaphysics. Definition descriptive metaphysics/Strawson: detects which ontology suggests our every day doing and speaking.
Definition revisionists Metaphysics/StrawsonVsQuine: a physicalist ontology. This stands in contrast to the everyday's way of thinking.
StrawsonVsQuine: for Strawson it is just about the everyday language, not about the ontology of any language.
Ontology/language/Strawson: Thesis: pro-thing-property-ontology. This is necessarily the most elementary. Because of the similarity to the subject-predicate form.
---
NS I 150
Space/Time/Strawson: are tools to differentiate different cases. Transcendental/Kant: are arguments that relate to the conditions of possibility.
Strawson/Newen/Schrenk: his arguments are transcendental.
---
Strawson I 198
QuineVsGeach/QuineVsFrege: singular expressions (singular term) can occur at the points of quantifiable variables, general expressions cannot. Singular Term: can be quantified, general term: not quantifiable.
StrawsonVsQuine: on closer inspection, these differences of approach seem far less significant.
Quine strongly distinguishes between types of non-linguistic objects on one side and the distinction between singular and general terms, on the other side. (Word/object).
In Quine "piety" and "wisdom" are singular expressions, namely names of abstract objects like the nouns "Socrates" and "earth" are the names of concrete objects.
Abstract Singular Term/Quine: E.g. "piety" (Universal).
The distinction between singular and general term is more important for Quine from the logical point of view.
The singular term gives the impression, and to name only one object, while the general term does not claimed at all, to name something, although it "may be true of many things."
StrawsonVsQuine: this is an unsatisfactory way of explaining that the word "philosopher" should be a general and not a singular term. We would not like to say that this expression is true of many things or people.
---
Strawson I 252
Circle/StrawsonVsQuine: regardless of their captivating simplicity of this analysis, I believe that it will be unacceptable by the form in which it is created. The language terms, in which the analysis is drawn up, presuppose the existence of subject expressions of linguistic singular terms. Other consequence: we are invited, to see the expressions that replace the "Fs" and "Gs" in the quantified sentences as ordinary predicate expressions. That is allright.
---
I 253
Circle/StrawsonVsQuine: but again these forms have only their place in normal language because singular terms, subject expressions occupy the place they have there. Circularity: because we cannot simultaneously regard Fs and Gs as predicate expressions and accept that they all resolve subject expressions totally in the form of quantified sentences.
Circle/StrawsonVsQuine: the argument is based on the linguistic forms that require in turn the use of these expressions.
StrawsonVsGadamer/StrawsonVsQuine: one could argue against that this is too narrow, one must proceed inventively. In the case one would have to say what a teaching really should say, which is, taken literally, unacceptable.
---
Strawson IV 69
StrawsonVsQuine: Suppose we want to manage without quantification over properties. Does it follow that the belief in objects would be justified, but not the belief in properties? ---
IV 70
Strawson: we can accept a different kind of existence. A secondary, although a usual sense of existence, which applies to properties and relations. ---
IV 71
Vs: E.g. a) "There is at least one property that has no machine, namely perfect efficiency". b) "no machine is completely efficient." In a) I quantify, in b) I do not.

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
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