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Denotation | Russell | Hintikka I 165 On Denoting/Russell/Hintikka: (Russell 1905) Problem: with phrases that stand for real constituents of propositions. Problem/Frege: failure of the substitutability of the identity (SI) in intensional contexts. Informative identity/Frege: that identity can sometimes be informative at all is related to this. EG/existential generalization/Russell: it, too, can fail in intensional contexts, (problem of empty terms). HintikkaVsRussell: he does not recognize the depth of the problem and rather avoids the problems with denotating terms. The present King/Russell: Problem: we cannot prove by existential generalization that there is a present king of France. HintikkaVsRussell: but there are other problems. (See below: because of the ambiguity of the cross-world identification). Hintikka I 173 Denotation/Russell/Hintikka: N.B.: a brilliant feature of Russell's theory of the denotation from 1905 is that it is the quantifiers who denote! Theory of Description/Russell: (end of "On Denoting") Thesis: contains the reduction of descriptions on objects of acquaintance. I 174 Hintikka: this connection is astonishing. It also appears to be circular, only to admit objects of acquaintance. Solution: we must see what successfully denotating phrases actually denote: they denote objects of acquaintance. Ambiguity/uniqueness/Hintikka: it is precisely ambiguity that leads to the failure of the existential generalization. E.g. Waverley/Russell/Hintikka: that only objects of acquaintance are allowed, shows its own example: "the author of Waverley" in (1) is actually a primary event, i.e. his example (2). "Whether"/Russell/Hintikka: only difference: wanted to know "whether" instead of "did not know". Secondary Description/Russell: can also be expressed in the way that George wanted to know from the man who actually wrote Waverley whether he was Scott. I 175 That would be the case if George IV had seen Scott (at a distance) and asked "Is that Scott?". HintikkaVsRussell: why does Russell choose an example with a perceptually known individual? Do we not normally deal with individuals of flesh and blood, whose identity is known to us, rather than merely with perceptual objects? Knowledge who/knowledge what/perception object/Russell/Hintikka: precisely in the case of perception objects, it seems as if the kind of uniqueness that we need for a knowledge-who does not exist. |
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 Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Denotation | Hintikka | II 173 Denotation/Russell/Hintikka: N.B.: a brilliant feature of Russell's theory of the denotation of 1905 is that it is the quantifiers which denote! Theory of Denotation/Russell: (end of "On Denoting") thesis: the theory of denotation contains the reduction of denotation on objects of acquaintance. II 174 Hintikka: this connection is amazing. It also appears to be circular, only to admit objects of acquaintance. Solution: we must see what successfully denotating phrases actually denote: they denote objects of acquaintance. Unambiguity/uniqueness/Hintikka: it is precisely ambiguity that leads to the failure of the existential generalization. E.g. Waverley/Russell/Hintikka: that only objects of acquaintance are permitted, shows its own example: "the author of Waverley" in (1) is indeed a primary event, that is, his example (2). "Whether"/"if"/Russell/Hintikka: only difference: Russell and Hintikka wanted to know if "instead of" "did not know". Secondary Denotation/Russell: one can also say that George wanted to know from the man who actually wrote Waverley if he was Scott. II 175 That would be the case if George IV had seen Scott (at a distance) and asked "Is that Scott?". HintikkaVsRussell: why does Russell choose an example with a perceptually known individual? Do we not normally deal with individuals of flesh and blood, whose identity is known to us, rather than merely with perceptual objects? Knowledge who/what/perception object/Russell/Hintikka: precisely in the case of perception objects, it seems as if the kind of uniqueness that we need for a to-know-who does not exist. |
Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Description Theory | Russell | Hintikka I 165 Descriptions/Russell/Hintikka: Definition primary description: for them, the substitutability of identity (SI) applies. Definition secondary description: for them the substitutability of identity (SI) fails. I 166 E.g. Russell: two readings: (1) George IV did not know whether Scott was the author of Waverley. Description/Logical Form/Russell/Hintikka: "The Author of Waverley": (ix) A (x) Primary: the description has the following force: (2) (Ex)[A(x)&(y)A(y) > y = x) & George IV knew that (Scott = x). ((s) notation: the quantifier is here always a normal existence quantifier, mirrored E). That is, the quantifier has maximum range in the primary description. More likely, however, is the second reading: Secondary: (3) ~ George IV knew that (Ex)[A(x) & (y) > y = x & (Scott = x)]. ((s) narrow range) Range/HintikkaVsRussell: he did not know that there is a third possibility for the range of a quantifier ((s) "medium range"/Kripke). (4) ~ (Ex) [A(x) & (y)(A (y)> y = x) & George IV knew that (Scott = x)]. |
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 Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Descriptions | Quine | I 320 Elimination of singular descriptions/Quine: there are no more truth value gaps. All are wrong now: "..y .. and only y" instead of "y = (ix) (x .. ..)" when applicable to nothing. I 328f Descriptions can be revived. This is possible in all positions. Socrates is then again definable as a singular term. Quotes are names of linguistic structures. They eliminate the characteristic occurrences of the corresponding terms. II 75 ff Russell/Theory of Descriptions: a term is not defined by equivalence but through paraphrases. Reference is only simulated, not fixed. VII (i) 167 Descriptions/Quine: descriptions are singular terms. >Singular Terms/Quine. III 279 Description/Synonymy/Quine: whether a description assumption is available at all depends on an appropriate translation, and this in turn depends on the vague concept of synonymy. What is synonymous for us depends on what you first got to know in your individual learning history. Solution/Quine: we separate logic from empiricism by emphasizing the priority of the predicates: we insist that what we learn through perception is never terms, but only predicates. ((s) We then use these in the descriptions as building blocks.) III 280 Predicate/Quine: a predicate (instead of description) should then only apply to this (shown) object. Then we explain "(ix)Fx" as the actual name, where "F" stands for this basic predicate. That does not even apply to epistemology. Description/singular term/Quine: then nothing prevents us anymore to regard all singular terms as descriptions! If, for example, "The author of Waverley" is given, we do not need to stop looking for the correct "F" for translation into the "(ix)Fx" description. We allow the following: "(ix)(x is cerberus)" (>unicorn as description). Any less incompetent translation would only differ in its clarity, not in its meaning. Singular terms/Quine: treating all as descriptios has the advantage, III 281 to spare a difference to non-descriptive singular terms. The dispute over descriptions becomes one about predicates. >Predicates/Quine. III 293 Description/Equal Sign/Quine: if we have the equal sign, we can afford the luxury of introducing descriptions without having to calculate them as primitive basic concepts. Because with the equal sign we can eliminate a description from every sentence. >Equal sign/Quine. |
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 |
Descriptions | Russell | Cresswell I 117 Descriptions/Russell: are never names - Other authors VsRussell: Descriptions are names, but not of normal objects but of intensional objects (various objects in different worlds). - CresswellVs intentional objects. Geach I 61 Description/Russell is never a name: E.g. The Duke of Cambridge is also a pub, but the Duke does not sell beer. Newen/Schrenk I 90 Theory of Descriptions/Russell: E.g. 1. There is at least one author of "Waverley" (existence assertion) - 2. There is at most one author of "Waverley" (uniqueness assertion) - 3. Whoever wrote "Waverley", was a Scott (statement content) - E.g. The current King of France/empty names: At least one king of France is bald - 2. At most one - 3. whoever ... is bald - E.g. identity: at least one denounced Catiline - 2. At most one ... - 1* at least one wrote "De Oratore" - 2* at most one ... - 3. Whoever denounced Catiline, wrote ... - E.g. negative existence sentences "It is not the case that 1. At least one .. - 2. At most one ... - RussellVsFrege: thus one avoids to accept Fregean sense as an abstract entity. Truth-value gaps/RussellVsFrege: they too are thus avoided. I 92 N.B.: sentences that seemed to be about a subject, are now about general propositions about the world. Russell I VIII E.g. Waverley - all true sentences have the same meaning - e.g. "Author of Waverley." Is no description of Scott - Description (labeling) is not the same as assertion - this does not refer to an object. - StrawsonVs - A sentence with "Waverley" says nothing about Scott, because it does not contain Scott. I 46 Descriptions/Russell: are always in the singular E.g. "father of" but not "son of" (not clear - always presuppoes quotes without "the": "jx": "x is φ" - instead of (ix)(jx) in short "R'y": the R of y, "the father of y" - characterizing function, not propositional function all mathematical functions are distinctive features. I 96 Description/Principia Mathematica/Russell: "The author of Waverley" means nothing - we cannot define (ix)(jx) only its use - (> definition, definability). Flor III 122 Descriptions/Russell/Flor: are not names - reason: otherwise it would result in a mere triviality: "a = a" or something wrong. E.g. "The Snow man does not exist" is something different than to say, "Paul does not exist" - Descriptions: incomplete symbols - ((s) If description were names, they could not fail.) |
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 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 Gea I P.T. Geach Logic Matters Oxford 1972 Flor I Jan Riis Flor "Gilbert Ryle: Bewusstseinsphilosophie" In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke Reinbek 1993 Flor II Jan Riis Flor "Karl Raimund Popper: Kritischer Rationalismus" In Philosophie im 20. Jahrhundert, A.Hügli/P.Lübcke Reinbek 1993 Flor III J.R. Flor "Bertrand Russell: Politisches Engagement und logische Analyse" In Philosophie im 20. Jahrhundert, A. Hügli/P.Lübcke (Hg) Reinbek 1993 Flor IV Jan Riis Flor "Thomas S. Kuhn. Entwicklung durch Revolution" In Philosophie im 20. Jahrhundert, A. Hügli/P. Lübcke Reinbek 1993 |
Expressions | Meixner | I 71 Expression/Express/Meixner: expressing something is not referencing - functions can be expressed by unconfirmed expressions - predicate: expresses property, does not denominate it! - Predicate linguistic indicator of universals, more direct than names. I 102 Expression/Denominating/Meixner: Facts are expressed by sentences and denominated by that-sentences (subordinate clauses). I 118 Expressions/Expressing/Meixner: sentences can express something that is not in line with their meaning, e.g. "the sentence on page n line 1 is wrong ...". I 152 Expressing: sentence expresses both a proposition and a fact (if it expresses something different from its meaning) - proposition: content of the sentence - fact: is unambiguously determined by this sentence content (proposition). I 153 Expressing: concepts such as universals through predicates - fulfillment: concepts are fulfilled by entities - exemplification: universals by entities - instantiating/instantiation: concepts and universals by entities (inverse to instantiation: concepts and universals apply to entities) I 154 Expression/Expressing: Predicates express concepts or properties (universals). - concepts do not express anything, universals do not express anything, properties express nothing, they are expressed - sentence: expresses proposition or fact - fact, proposition: express nothing, they are expressed - e.g. "author of Waverley", "the person who is identical with Scott" do not express the same universal singularisation, but they do denominate the same individual. - E.g. "brother of..."/"only brother of": ((s) can apply to the same individual, or "only" to none.) |
Mei I U. Meixner Einführung in die Ontologie Darmstadt 2004 |
Facts | Cartwright | Horwich I 48 Fact/Moore: (early): means that the proposition owns the simple property of truth. Later: it consists in possessing the truth through a proposition. CartwrightVs: if facts and propositions are distinguished, no simple property (truth) is needed anymore. Then we have facts as correspondents. I 49 Ayer: Propositions cannot be facts. Because with wrong propositions there are no corresponding facts. CartwightVsMoore: nothing must be missing in the universe if a proposition is wrong. For example, if Scott had not written Waverley, he (Scott = author of Waverley) would not have to be missing in the universe. I 50 Moore/Cartwright: (early): would have had to assume that "the fact that" was a rigid designator: he would have had the following two sentences express the same proposition: a) the fact that there are subways in Boston would not have had to be the fact that there are subways in Boston... - b) The author of Waverley did not have to be the author of Waverley. |
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 |
Functions | Russell | I XII / XIII Function/Russell/Gödel: Axiom: functions can only occur "through their values", i.e. they are extensional. I 58 Function/Russell: presupposes values, but values do not presuppose a function - ((s) In order for 16 to be a square number, there must be a natural number 16 first, etc.) I 69 Function/Principia Mathematica/Russell: no object, since ambiguous - "values of j z^" are assigned to the j and not to the z. I 72 Def A-Functions/Principia Mathematica/Russell: functions that make sense for a given argument a - ((s) E.g. reversal of function: for example, y = x² can give the value y = 4 for x = 2). - A-function: now we can conversely search for functions that give the value 4 E.g. root of - 16, 2² and any number of others - E.g. "A satisfies all functions that belong to the selection in question": we replace a by a variable and get an a-function. However, and according to the circle fault principle, it may not be an element of this selection, since it refers to the totality of this selection - the selection consists of all those functions that satisfy f(jz^) - then the function is (j). ({f(jz^)) implies jx} where x is the argument - such that there are other a-functions for any possible selection of a-functions that are outside of the selection - ((s) > "Everythingl he said"). I 107 Derived function/notation/Principia Mathematica/Russell: (derived from a predicative function). "f{z^(q,z)}" - defined as follows: if a function f(y ! z^) is given, our derived function must be: "there is a predicative function, which is formally equivalent to j z^ and satisfies f" - always extensional. I 119 Function/Truth/Principia Mathematica/Russell: a function that is always true, can still be false for the argument (ix)( j x) - if this object does not exist. I 119 Function/Waverley/Identity/Equivalence/Principia Mathematica/Russell: the functions x = Scott and x = author of Waverley are formally equivalent - but not identical, because George IV did not want to know if Scott = Scott. I 144 Varying function/variable function/variability/Principia Mathematica/Russell: old: only transition from e.g. "Socrates is mortal" to "Socrates is wise" (from f ! x to f ! y) (sic) - new: (Second Edition): now the transition to "Plato is mortal" is also possible - (from j ! a to y ! a) - "notation: Greek letters: stand for individuals, Latin ones for predicates -> E.g. "Napoleon had all the properties of a great emperor" - Function as variable. |
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 |
Mention | Russell | V 38 QuineVsRussell: there is a great confusion in Principia Mathematica between use and mention of linguistic expressions: you do not know whether you are talking about the sign or its meaning. VI 84 Incident/Mention/Use/Russell: "Scott has written Waverley": here, the name "Scott" does not appear in what I say. - What I say is about the person, not the name. - Constituent element of a sentence: E.g. "the unicorn does not exist": "the unicorn" is not a constituent part (part of the reality, unicorn is not a part of a fact). Hauptwerke der Philosophie. 20. Jahrhundert, Stuttgart 1992 33 Use/mention/QuineVsRussell: in Principia Mathematica there is a widespread confusion between use and mention of linguistic expressions: you don't know if you are talking about the sign or its meaning. |
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 |
Pegasus Example | Quine | I 306 ff Name: is a general term: > "=Socrates" "Is", the copula, the verb form does not create existence Fx. For us who know that Pegasus does not exist, the phrase "Pegasus flies" may not be true or false. But there are sentences that contain Pegasus, and yet they are neither true nor false for us: For example "Homer believed in Pegasus" but in this case one can be of the opinion that the position is not descriptive. For example in "Pegasus exists" the position of "Pegasus" is purely descriptive: certainly, if something like "Pegasus exists" is true, and then also Pegasus can be replaced by an equivalent description. Measured on this scale, the position is purely indicative but peculiar: I 307 a meaning of "(x)(x exists)" or (Ex)(x exists)" is hardly discernible. Abundance: what embarrasses us here is perhaps too much "abundance" that "exists" if we already have "(Ex)" may not have any independent function in our vocabulary. We understood "exists" as (Ex)(y=x) which applies to everything as well as "x=x". But there are also anomalies in this procedure. It seems strange that "Pegasus exists" should be wrong if "(x)(x exists)" is true and "Pegasus" takes a purely descriptive position. There is something wrong about granting Pegasus the purely descriptive position. I 312 Pegasus Example/Non-Existence/Quine: (Ex) (x = Pegasus) wrong with Pegasus as a singular term - right: with Pegasus as a general term = Pegasus - but: (Ex) (x is Pegasus) is wrong (for non-existence). >Existence/Quine, >General Terms/Quine, >Singular Terms/Quine. VII (a) 3 Pegasus/Existence/Quine: if one denies its existence, one does not negate the idea - not the mental entity - Solution: Russell: are descriptions: the unanalyzed part "Author of Waverley" has not, as Wyman ((s) = Meinong) assumed, an objective reference - a whole sentence, containing a description can still be true or false (but only as a complete sentence). Lauener XI 132 Pegasized/Socratized/Quine/Lauener: it should not be possible to eliminate a name in Russell’s way by paraphrasing it by a description. ((s) But this goes very well with Pegasus.) - One can assume an unanalysed, irreducible attribute of the "being-Pegasus", and re-express this with the verb ’is-Pegasus" or "pegasized" - so that we can use singular terms without having to assume that there are things they designate - ((s) "There is nothing that pegasizes".) "~(Ex) Fx". Stalnaker I 55 Pegasus/QuineVsWyman/Quine: could exist - the round square could not. Stalnmaker I 65 Wyman: Thesis: contradictions are meaningless - VsWyman: Stalnaker Quine, Lewis. |
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 Q XI H. Lauener Willard Van Orman Quine München 1982 Stalnaker I R. Stalnaker Ways a World may be Oxford New York 2003 |
Proper Names | Dummett | III (b) 64 Names/Davidson: we can only know that "Valencia" refers to Valencia. - DummettVsDavidson: he confuses awareness of the reference with knowledge - the fact that the word has a reference object (at all) - Names/DummettVsDavidson: the subject must understand the meaning of the name: not that the name refers to something, but what it refers to. III (b) 87f Names/Kripke: meaning is not "the one who is generally thought to be the author of Waverley" - Dummett: knowing that (sentence is true): e.g. a child hears "postal strike in Milan" - but does not understand the proposition. - What is necessary for a proposition? - Certainly not knowledge about Ambrosius - Sentence: knowing-that "someone named Gustav Freytag was a lecturer in Wroclaw. - proposition, propositional knowledge: precisely the one who wrote Debit and Credit was a lecturer in Wroclaw - (description). III (b) 87f Names/Dummett: Standard explanation: Language use in community - actual baptism irrelevant, just like speaker, snatches of conversation - different: if only snatches of conversation, I must track speakers - Goedel: the concept of knowing-of-Gödel that he... has more substance than the concept of knowledge that "Goedel" is the name of the person who... - E.g. Goliath: confusion of the names, not the person - E.g. Obadiah (author, only action ((s) quasi "anonymous"): here confusion of persons, not the names, possible - III (b) 92 DummettVsCausal theory: just a theory about the sense of names, not one that replaces the sense with something else - it provides no explanation of the function of names in general. III (b) 93 E.g. hurricanes, constellations etc.- it is hard to prove that we named them wrongly - Causal theory does not explain the mechanisms of naming. III (c) 151 Dummett per description theory: verbal explanations of unfamiliar names help. Wolf II 354 Meaning/Names/DummettVsFrege: (E.g. Dr. Lauben), the meaning cannot be basically subjective, because it is part of what is being communicated by the language - still Dummett considers the "sense" (subjective knowledge) to be part of the meaning. |
Dummett I M. Dummett The Origins of the Analytical Philosophy, London 1988 German Edition: Ursprünge der analytischen Philosophie Frankfurt 1992 Dummett II Michael Dummett "What ist a Theory of Meaning?" (ii) In Truth and Meaning, G. Evans/J. McDowell Oxford 1976 Dummett III M. Dummett Wahrheit Stuttgart 1982 Dummett III (a) Michael Dummett "Truth" in: Proceedings of the Aristotelian Society 59 (1959) pp.141-162 In Wahrheit, Michael Dummett Stuttgart 1982 Dummett III (b) Michael Dummett "Frege’s Distiction between Sense and Reference", in: M. Dummett, Truth and Other Enigmas, London 1978, pp. 116-144 In Wahrheit, Stuttgart 1982 Dummett III (c) Michael Dummett "What is a Theory of Meaning?" in: S. Guttenplan (ed.) Mind and Language, Oxford 1975, pp. 97-138 In Wahrheit, Michael Dummett Stuttgart 1982 Dummett III (d) Michael Dummett "Bringing About the Past" in: Philosophical Review 73 (1964) pp.338-359 In Wahrheit, Michael Dummett Stuttgart 1982 Dummett III (e) Michael Dummett "Can Analytical Philosophy be Systematic, and Ought it to be?" in: Hegel-Studien, Beiheft 17 (1977) S. 305-326 In Wahrheit, Michael Dummett Stuttgart 1982 K II siehe Wol I U. Wolf (Hg) Eigennamen Frankfurt 1993 |
Propositions | Russell | Horwich I 54 Proposition/Russell: is a complex entity with components: E.g. Smith is taller than Brown: Smith, Brown, the relation taller than - E.g. Brown is smaller than Smith: is therefore equivalent, but is different in all three components! - Letter to Frege: the mountain literally appears in the proposition - Cartwright: thoughts/Frege: are not the same as Russell’s propositions - they do not contain their objects - ((s) ."...but their sense"). Horwich I 56 Proposition/Russell/Cartwright: how can a proposition be wrong if it consists of the components and the nature of their connection? - Solution/Russell: another quality - CartwrightVs: which had already been rejected. Horwich I 59 Proposition/Principia Mathematica/Russell: φ x (requires function) - Propositional function: φ x^ - not ambiguous - the values are all propositions of the form j x. Horwich I 60 I.e. the symbol φ (φx^) must not express a proposition as does indeed, if a is a value for φ x^ - indeed j(jx^) must be a symbol that expresses nothing, it is pointless - (neither true nor false) - E.g. -the function- is a human is a human. Horwich I 60f Proposition/propositional function/Principia Mathematica/Russell: The symbol (x).j x shall always express the proposition φ x, i.e. the proposition that claims all values for φ x^. Horwich I 61 This proposition presupposes the function j x^, not just an ambiguous value of the function - the assertion of φ x, where x is not specified, is different from that which claims all values for φ x^, because the former is an ambiguous assertion, and the latter is not ambiguous in any sense. (1) 1. R. Cartwright, „A Neglected Theory of Truth“ , Philosophical Essays, Cambridge/MA pp. 71-93 in: Paul Horwich (Ed.) Theories of Truth, Aldershot 1994 Russell I 125 Proposition/Function/Extensional/Tractatus/Wittgenstein: functions of propositions are always truth functions - a function can only occur in a proposition by means of its values. (see above extensional) - consequence: all functions of functions are extensional. E.g. A believes p is not a function of p - (Tractatus 19-20) - ((s) VsRussell: (see above) > Waverley, functions are equivalent, but not identical, because George IV did not want to know if Scott = Scott - ((s) being believed is not a function of the believed object) - ((s)> extrinsic properties, extrinsic) - ((s)> Function of a function of higher level). |
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 Horwich I P. Horwich (Ed.) Theories of Truth Aldershot 1994 |
Quantifiers | Russell | Hintikka I 173 Quantification/quantifier/acquaintance/description/Russell/Hintikka: in Russell, the quantifiers (or the domain of bound variables) go only via objects of the acquaintance. ((s) physically present things). Description/Theory of Description/Russell: descriptions are eliminated in the context in favor of quantifiers. There are only quantifiers and bound variables. Russell/Hintikka: one could paraphrase it as the following: the concept "is always true" is the only one occuring in propositions which originally contained certain descriptions. Power/Russell/Hintikka: the force ((s) semantic force) of the reduced propositions depends on the individual range of the variable. N.B./Hintikka: now it is only a part of the story that Russell has successfully eliminated non-existent objects (E.g., the current King of France is bald). His reduction continues: Quantifier/Russell/Hintikka: the quantifiers go only via objects of the acquaintance. ((s) objects of which we only know by description are not allowed, they cannot be quantified via according to Russell, which is more than the elimination of non-existent objects because there are also existing objects which we know only by description). Hintikka I 173 Denotation/Russell/Hintikka: N.B.: a brilliant feature of Russell's theory of the denotation of 1905 is that it is the quantifiers which denote! Theory of Description/Russell: (end of "On Denoting") Thesis: contains the reduction of descriptions on objects of acquaintance. I 174 Hintikka: this connection is astonishing. It also appears to be circular, only to admit objects of acquaintance. Solution: we must see what successfully denotating phrases actually denote: they denote objects of acquaintance. Ambiguity/uniqueness/Hintikka: it is precisely ambiguity that leads to the failure of the existential generalization. E.g. Waverley/Russell/Hintikka: that only objects of acquaintance are allowed, shows his own example: "the author of Waverley" in (1) is actually a primary event, i.e. his example (2). "Whether"/Russell/Hintikka: only difference: wanted to know "whether" instead of "did not know". Secondary Description/Russell: can also be expressed in the way that George wanted to know from the man who actually wrote Waverley whether he was Scott. I 175 That would be the case if George IV had seen Scott (at a distance) and had asked "Is that Scott?". HintikkaVsRussell: why does Russell choose an example with a perceptually known individual? Do we not normally deal with individuals of flesh and blood, whose identity is known to us, rather than merely with perceptual objects? Knowledge who/knowledge what/perception object/Russell/Hintikka: precisely in the case of perception objects, it seems as if the kind of uniqueness that we need for a knowledge-who does not exist. Hintikka I 178 Quantifier/Quantification/HintikkaVsRussell: Russell systematically confuses two types of quantifiers. (A) of the acquaintance, (B) of the description. Problem: Russell had not realized that the difference cannot be defined solely in relation to the actual world! Solution/Hintikka: we need a relativization to sets of possible worlds, which change with the different propositional attitudes. Hintikka I 180 Elimination/Eliminability/HintikkaVsRussell/Hintikka: in order to eliminate merely seemingly denotating descriptions, one must assume that the quantifiers and bound variables go via individuals that are identified descriptively. ((s) >intensional object ). Otherwise the real Bismarck would not be an admissible value of the variables with which we express that there is an individual of a certain kind. Problem: then these quantifiers must not be constituents of the propositions, for their range of values consists not merely of objects of acquaintance. So Russell's mistake was a twofold one. 1. Quantifier/Variable/Russell/Hintikka: by 1905 he had already stopped thinking that quantifiers and bound variables are real constituents of propositions. Definition apparent/Russell/Hintikka: = bound variable. 2. Acquaintance/Russell: values of the variables should only be objects of the acquaintance. (HintikkaVsRussell). Hintikka I 180 Quantifiers/HintikkaVsRussell: now we can see why Russell did not distinguish between different quantifiers (acquaintance/description): for him, quantifiers were only notational patterns, and for them it is not necessary to define the range of possible interpretation, therefore it does not make a difference when the domain changes! Quantification/Russell: for him it was implicitly objective (referential), in any case not substitutional. |
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 Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
Round Square | Quine | VII (a) 5 Round Square/Quine: There can be no unrealized possibility - it is not meaningless! - If all contradictions were meaningless, we would have no test of what has meaning and what does not - descriptions eliminate the problem of how to deny existence - negation: E.g. "the author of Waverley does not exist" would then be: the alternation: "Either each thing has not written Waverley or more than two things wrote Waverley" - "round square" cannot be analyzed in the same way. Neither can be Pegasus analyzed as a single word. Solution: basic: "the thing that pegasizes": then there is no more tacit presupposition that was demanded by the tradition. VII (a) 7 Existence/Descriptions/Quine: descriptions eliminate the problem of how to deny existence. Negation: Example "the author of Waverley is not": would then be: the alternation: "Either every thing did not write Waverley or more than two things wrote Waverley." "Round Square": cannot be analyzed in the same way. III 258 Unicorn/round square/name/meaning/singular term/Quine: Conclusion: that something has the task of denoting something (i.e. is significant) does not depend at all on it fulfilling this task. Significant/Quine: at first only: to have the task of designating something. Unsuccessful designation! In any case, the designated object is not the meaning of the word. (Confusion of meaning and designated object). |
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 |
Truth | Moore | Horwich I 46 Wahrheit/Moore: (früh): identisch mit der Realität. I 46 Wahrheit/Tatsache/Verallgemeinerung/Russell/Moore/R.Cartwright: Problem: wenn die wahre Proposition identisch mit der Tatsache ist, dann Problem der Verallgemeinerung: - Es ist nicht ausgeschlossen, dass die wahre Proposition 2 + 2 = 4 identisch mit der Proposition ist, dass Scott Waverley schrieb. - (weil Äquivalenz nur Gleichheit der Wahrheitswerte verlangt). - Lösung: eine bestimmte Proposition muss gegeben sein, um sie mit einer Tatsache zu identifizieren. - Verallgemeinerung: nicht wohlgeformt: weil das letzt Vorkommnis von "p" nicht in einer quantifizierbaren Proposition steht: Für jede Proposition p, wenn p wahr ist, dann ist p identisch mit der Tatsache, dass p. I 51 Wahrheit/Moore: (spät): Wahhrheit keine einfache Eig: - falscher Glaube braucht kein Objekt. - Es gibt gar keine Propositionen. - Russell: behielt Propositionen noch Jahre bei- Tatsache/Moore: pro, aber nicht als Glaubensobjekt. I 56 Wahrheit/Proposition/Moore/Russell/R.Cartwright: Wahrheit als unanalysierbare einfache Eigenschaft: führt zu Problemen mit Propositionen. - Nachdem sie Propositionen aufgegeben hatten, identifizierten sie die Träger von Wahrheit mit Glauben. dann wurde eine Art Korrespondenztheorie unvermeidlich. - Die Wahrheit muß von etwas abhängen, was außerhalb des Glaubens selbst liegt. |
Horwich I P. Horwich (Ed.) Theories of Truth Aldershot 1994 |
Truth | Cartwright | Horwich I 46 Truth/Moore: (early): identical with reality. I 46 Truth/Fact/Generalization/Russell/Moore/R.Cartwright: Problem: if the true proposition is identical to the fact, then problem of generalization: - It is not excluded that the true proposition 2 + 2 = 4 is identical to the proposition that Scott wrote Waverley (because equivalence requires only equality of truth values). Solution: a certain proposition must be given to identify it with a fact. Generalization: not well-formed: because the last occurrence of "p" is not in a quantifiable proposition: For each proposition p, if p is true, then p is identical to the fact that p. I 51 Truth/Moore: (late): Truth is not a simple quality: - false belief does not need an object. - There are no propositions at all. - Russell: held on to propositions for years. Facts/Moore: pro, but not as an object of belief. >Objects of Belief, >Objects of Thought. I 56 Truth/Proposition/Moore/Russell/R. Cartwright: Truth as an unanalyzable simple property: leads to problems with propositions. - After giving up propositions, Morre and Russell identified the bearers of truth with belief. Then a kind of correspondence theory became inevitable. - Truth must depend on something that lies outside the belief itself. |
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 |
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Frege, G. | Newen Vs Frege, G. | I 209 Physicalism/Identity Theory/New: because of the possibility that mental phenomena could be realized in different ways (functionalism) token physicalism was abandoned in favor of type physicalism. (VsToken Physicalism) Functionalism/Newen: Problem: we do not know what the possibly physical states have in common ((s) on a mental level). Mental Universals/Newen: are needed then. Bieri: Problem: either a theory about mental universals seems empirically implausible. Or it is empirically plausible, then it does not tell us what we want to know. (Bieri: Anal. Ph. d. Geistes, p. 41). Functional State/Newen: similar to dispositions in that it can be characterized by hypothetical relations between initial situations and consequent states. I 211 VsFunctionalism/Newen: qualia problem FunctionalismVsVs: zombie argument: I 212 There need be no qualia to explain behavior. Mental Causation/Newen: is still an open question. NS I 90 Descriptions/Theory/Russell/Newen/Schrenk: the objective is to overcome two problems: 1) identity statements: need to be informative 2) negative existential statements or statements with empty descriptions must be sensible. Names/Personal Names/Russell: Thesis: names are nothing but abbreviations for decriptions. Theory of Descriptions/Russell: E.g. 1) There is at least one author of "Waverley" (existence assertion). 2) There is not more than one author of "Waverley" (uniqueness assertion) 3) Whoever wrote "Waverley", was a Scot (statement content). This is about three possible situations where the sentence may be wrong: a) nobody wrote Waverley, b) several persons did it, c) the author is not a Scot. NS I 91 Identity/Theory of Descriptions/Russell/Newen/Schrenk: Problem: if the identity of Cicero with Tullius is necessary (as self-identity), how can the corresponding sentence be informative then? Solution/Russell: 1) There is at least one Roman consul who denounced Catiline 2) There is not more than one Roman consul who denounced Catiline 1*) There is at least one author of "De Oratore" 2*) There is not more than one author of "De Oratore" 3) whoever denounced Catiline is identical with the author of "De Oratore". Empty Names/Empty Descriptions/Russell/Newen/Schrenk: Solution: 1) There is at least one present king of France 2) There is not more than one present king of France 3) Whoever is the present King of France is bald. Thus the sentence makes sense, even though the first part of the statement is incorrect. Negative Existential Statements/Theory of Descriptions/Russell/Newen/Schrenk: Problem: assigning a sensible content. It is not the case that 1) there is at least one flying horse 2) not more than one flying horse. Thus, the negative existence statement "The flying horse does not exist" makes sense and is true. RussellVsFrege/RussellvsFregean Sense/Newen/Schrenk: this is to avoid that "sense" (the content) must be assumed as an abstract entity. Truth-Value Gaps/RussellVsFrege: they, too, are thus avoided. Point: sentences that seemed to be about a subject, however, now become general propositions about the world. |
New II Albert Newen Analytische Philosophie zur Einführung Hamburg 2005 Newen I Albert Newen Markus Schrenk Einführung in die Sprachphilosophie Darmstadt 2008 |
Russell, B. | Gödel Vs Russell, B. | Russell I VI GödelVsRussell: the syntax of formalism is not executed! There is a lack of formal precision (order of elimination of symbols). Relations Calculus: previously carried out by Schrödinger and Peirce. I VII Russell/Gödel: very realistic attitude. The things discussed may exist, but we have no direct perception of them! He compares the axioms of logic and mathematics with the laws of nature. I VIII Meaning/Russell/Gödel: the example "author of Waverley" surprisingly leads to the fact that all true sentences have the same meaning. Author v. Waverley: is not a description of Scott. Description is not equal to assertion. It does not denote an object. StrawsonVs: a sentence with Waverley says nothing about Scott because it does not contain it. Description: means nothing at all outside of a context! "The author of Waverley" claims (strictly speaking) nothing about Scott, (Since he contains no constituents that denotes Scott). Description is not equal to assertion. I XIII GödelVsRussel: the circular error principle in its first form is not sufficient, because the axioms imply the existence of real numbers, which in this formalism are definable only with reference to all real numbers. Circular Error Principle/GödelVsRussell: the principia themselves do not satisfy the principle in their first edition, if "definable" means "definable within the system", and no definition methods outside are known, except those which comprise even more extensive totalities than those which occur in the system. Gödel: I would rather see this as proof that the principle of circular error is wrong than that classical mathematics is wrong. For one can deny with good reasons that the reference to a totality necessarily implies a reference to all its individual elements, or in other words that "all" means the same thing as an infinite logical conjunction. I XII/XIV "All"/solution/Carnap: "all" means analyticity or necessity, or provability. Gödel: besides, the circular error principle (PT) seems to apply only if the entities concerned are constructed by ourselves. In this case, a definition must clearly exist, namely the description of the construction. However, when it comes to independent objects, there is nothing absurd about the existence of totalities that contain members that can only be described (i.e. unambiguously characterized) by reference to totality. Def Description/Russell/Gödel: an object is called Def described by a propositional function φ(x) if φ(x) is true for x = a and for no other object. Second form: "comprise": one cannot even say that an object described with reference to a totality "comprises" this totality, although the description itself does. Third form: "presuppose": just as little would it contradict the third form, if "presupposed" means: "presupposed for existence", not "for perceptibility". |
Göd II Kurt Gödel Collected Works: Volume II: Publications 1938-1974 Oxford 1990 |
Russell, B. | Hintikka Vs Russell, B. | II 165 On Denoting/Russell/Hintikka: (Russell 1905) Problem: with phrases that stand for genuine constituents of propositions. Problem/Frege: failure of substitutivity of identity (SI) in intensional contexts. Informative Identity/Frege: the fact that identity can even sometimes be informative is connected to this. EG/Existential Generalization/Russell: it, too, may fail in in intensional contexts, (problem of empty terms). HintikkaVsRussell: he does not recognize the depth of the problem and rather circumvents the problems of denoting terms. E.g. The bald king of France/Russell: Problem: we cannot prove by existential generalization that there is a present king of France. HintikkaVsRussell: But there are also other problems. (see below for ambiguity of cross world identificaiton). Description/Russell/Hintikka: Def Primary Description: the substitutivity of identity applies to them (SI) Def secondary description: for them, substitutivity of identity (SI) fails. II 166 Existential Generalization/Russell: two readings: (1) George IV did not know whether Scott was the author of Waverley. Description/Logical Form/Russell/Hintikka: "the author of Waverley": (ix)A(x) primarily: the description has the following power: (2) (Ex)[A(x) & (y) A(y) > y = x) & ~ George IV knew that (Scott = x)]. ((s) notation: quantifier here always normal existential quantifier, mirrored E). I.e. the quantifier has the maximum range in the primary identification. The second reading is more likely, however: Secondary: (3) ~George IV knew that (Ex)[A(x) & (y)(A(y) > y = x & (Scott = x)]. ((s) narrow range): Range/HintikkaVsRussell: he did not know that there is also a third option for the range of a quantifier ((s) >"medium range"/Kripke). (4) ~(Ex)[A(x) & (y)(A(y) > y = x ) & George IV knew that (Scott = x)]. II 166 Existential Generalization/HintikkaVsRussell: he did not see that there was a reason for the failure of the existential generalization, which is not caused by the non-existence of the object. E.g. (5) George IV knew that the author of Waverley is the author of Waverley. a) trivial interpretation: I 167 (6) George IV knew that (Ex)(A(x) & (y)(A(y) > y = x)) everyday language translation: he knew that one and only one person wrote Waverley. I 166 b) non-trivial interpretation: (7) (Ex)(A(x) & (y)(A(y) > y = x) & George IV knew that (A(x) & (y)(A(y) > y = x))). ((s) no quantifier after "knew that everyday language translation: George knew of the only person who actually wrote Waverley, that they did. Because knowledge implies truth, (7) is equivalent to (8) (Ex) George IV knew that (Ez)(A(z) & (y)(A(y) > y = z) & x = z). this is equivalent to. (9) (Ex) George IV knew that (the author of Waverley = x) Here, the description has secondary (narrow) range. Everyday language translation: George knew who the author of Waverley is. I 167 Knowledge/Who/What/Where/HintikkaVsRussell: Russell cannot explicitly analyze structures of the form knows + W-sentence. General: (10) a knows, who (Ex x) is so that A(x) becomes (11) (Ex) a knows that A(x). Hintikka: this is only possible if we modify Russell’s approach: Problem: the existential generalization now collapses in a way that cannot be attributed to non-existence, and which cannot be analyzed by Russell’s Theory of Descriptions (ThoD). Problem: for every person, there are a lot of people whose names they know and of whose existence they know, but of who they do not know who they are. II 168 E.g. Charles Dodgson was for Queen Victoria someone of whom she had heard, but whom she did not know. Problem: if we assume that (11) is the correct analysis of (10), the following applies. (12) ~(Ex) Victoria knew that Dodgson = x) But that’s trivially false, even according to Russell. Because the following is certainly true: (13) Victoria knew that Dodgson = Dodgson) Existential Generalization/EG: then yields (14) (Ex) Victoria knew that Dodgson = x) So exactly the negation of (12) contradiction. II 168 Descriptions/Hintikka: are not involved here. Therefore, Russell’s description theory cannot help here, either. E.g. we can also assume that Victoria knew of the existence of Dodgson. Empty Terms/Empty Names: are therefore not the problem, either. Ontology/Hintikka: so our problem gets an ontological aspect. Existential Generalization/EG/Being/Quine/Ontology/Hintikka: the question of whether existential generalization may be applied on a singular term "b", E.g. in a context "F(b)", is the same as whether b may be value of a bound variable. Existential Generalization/Hintikka: does not fail here because of non-existence. II 169 We are dealing with the following problems here: Manifestation used by a) no SI Frege, Russell b) no EG (i) due to non-existence Russell (ii) because of ambiguity Hintikka Ambiguity/Solution/Hintikka: possible worlds semantics. E.g. (12) - (14) the problem is not that Dodgson did not exist in the actual world or not in one of Victoria’s worlds of knowledge, but that the name Dodgson singles out different individuals in different possible worlds. Hence (14) does not follow from (13). II 170 Existential Generalization/EG/Ambiguity/Clarity/Russell/Hintikka: Which way would have been open to Russell?. Knowing-Who/Russell/Hintikka: Russell himself very often speaks of the equivalence of knowledge, who did something with the existence of another individual, which is known to have done... + ... II 173 Denotation/Russell/Hintikka: Important argument: an ingenious feature of Russell’s theory of denotation from 1905 is that it is the quantifiers that denote! Theory of Denotation/Russell: (end of "On Denoting") includes the reduction of descriptions to objects of acquaintance. II 174 Hintikka: this relation is amazing, it also seems to be circular to allow only objects of acquaintance. Solution: We need to see what successfully denoting expressions (phrases) actually denote: they precisely denote objects of acquaintance. Ambiguity/Clarity/Hintikka: it is precisely ambiguity that leads to the failure of the existential generalization. Existential Generalization/Waverley/Russell/Hintikka: his own example shows that only objects of acquaintance are allowed: "the author of Waverley" in (1) is in fact a primary incident i.e. his example (2). "Whether"/Russell/Hintikka: only difference: wanted to know "if" instead of "did not know". (secondary?). Secondary Description/Russell: can also be expressed like this: that George wanted to know of the man who actually wrote Waverley whether he was Scott. II 175 That would be the case if George IV had seen Scott (in the distance) and had asked "Is that Scott?". HintikkaVsRussell: why does Russell select an example with a perceptually known individual? Do we not usually deal with beings of flesh and blood whose identity is known to us, instead of only with objects of perception?. Knowing Who/Knowing What/Perception Object/Russell/Hintikka: precisely with perception objects it seems as if the kind of clarity that we need for a knowing-who, is not just given. Identifcation/Possible Worlds Semantics/HintikkaVsRussell/Hintikka: in my approach Dodgson is a bona fide individual iff. he is one and the same individual in all worlds of knowledge of Victoria. I.e. identifiable iff. (15) (E.g.) in all relevant possible worlds it is true that (Dodgson = x). Problem: What are the relevant possible worlds?. II 178 Quantifier/Quantification/HintikkaVsRussell: Russell systematically confuses two types of quantifiers. (a) of acquaintance, b) of description). Problem: Russell has not realized that the difference cannot be defined solely in terms of the actual world!. Solution/Hintikka: we need a relativization to sets of possible worlds that change with the different propositional attitudes. II 179 RussellVsHintikka: he would not have accepted my representation of his position like this. HintikkaVsRussell: but the reason for this merely lies in a further error of Russell’s: I have not attributed to him what he believed, but what he should have believed. Quantification/Russell/Hintikka: he should have reduced to objects of acquaintance. Russell believed, however, it was sufficient to eliminate expressions that seemingly denote objects that are not such of acquaintance. Important argument: in that his quantifiers do not enter any ontological commitment. Only denoting expressions do that. Variable/Russell/Hintikka: are only notational patterns in Russell. Ontological Commitment/Quine/HintikkaVsRussell: Russell did not recognize the ontological commitment that 1st order languages bring with them. Being/Ontology/Quine: "Being means being value of a bound variable". HintikkaVsRussell: he has realized that. II 180 Elimination/Eliminability/HintikkaVsRussell/Hintikka: in order to eliminate merely seemingly denoting descriptions one must assume that the quantifiers and bound variables go over individuals that are identified by way of description. ((s) Object of the >Description). Otherwise, the real Bismarck would not be a permissible value of the variables with which we express that there is an individual of a certain species. Problem: then these quantifiers may not be constituents of propositions, because their value ranges do not only consist of objects of acquaintance. Therefore, Russell’s mistake was twofold. Quantifier/Variable/Russell/Hintikka, 1905, he had already stopped thinking that quantifiers and bound variables are real constituents of propositions. Def Pseudo Variable/Russell/Hintikka: = bound variable. Acquaintance/Russell: values of the variable should only be objects of acquaintance. (HintikkaVsRussell). Quantifiers/HintikkaVsRussell: now we can see why Russell did not differentiate between different quantifiers (acquaintance/description): For him quantifiers were only notational patterns, and for them the range of possible interpretations need not be determined, therefore it makes no difference if the rage changes!. Quantification/Russell: for him, it was implicitly objectional (referential), and in any event not substitutional. Peacocke I 190 Possible Worlds/Quantification/HintikkaVsRussell: R. is unable to explain the cases in which we quantify in belief contexts (!) where (according to Hintikka) the quantifier over "publicly descriptively identified" particulars is sufficient. Hintikka: compares with a "roman à clef". Peacocke: it is not clear that (whether) this could not be explained by Russell as cases of general ideas, so that the person with such and such characteristics is so and so. Universals/Acquaintance/Russell/Peacocke: we are familiar with universals and they are constituents of our thoughts. HintikkaVsRussell: this is a desperate remedy to save the principle of acquaintance. PeacockeVsRussell: his arguments are also very weak. Russell: E.g. we cannot understand the transitivity of "before" if we are not acquainted with "before", and even less what it means that one thing is before another. While the judgment depends on a consciousness of a complex, whose analysis we do not understand if we do not understand the terms used. I 191 PeacockeVsRussell: what kind of relationship should exist between subject and universal?. Solution: the reformulated PB: Here we can see to which conditions a term is subject, similar to the principle of sensitivity in relational givenness. I 192 HintikkaVsRussell: ("On denoting what?", 1981, p.167 ff): the elimination of objects with which the subject is not familiar from the singular term position is not sufficient for the irreducibility of acquaintance that Russell had in mind. Quantification/Hintikka: the quantifiers will still reach over objects with which the subject is not familiar. But such quantifiers cannot be constituents of propositions, if that is to be compatible with the PB. Because they would certainly occur through their value range Occur and these do not consist of particulars with which one is familiar. |
Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 Peacocke I Chr. R. Peacocke Sense and Content Oxford 1983 Peacocke II Christopher Peacocke "Truth Definitions and Actual Languges" In Truth and Meaning, G. Evans/J. McDowell Oxford 1976 |
Russell, B. | Donnellan Vs Russell, B. | I 18/19 DonnellanVsRussell: has not grasped the referential use, but placed it in a strange construct of "logically proper names". DonnellanVsStrawson: does not see the difference ref/att correctly and mixes the two. Referential/Attributive/Donnellan: varies even when it comes to the importance of the distinction: 1) Text: only pragmatic distinction, 2) later: "semantic significance". KripkeVsDonnellan: denies semantic ambiguity of the use of descriptions. Both can be grasped with the Russell’s analysis: sentences of the form "The F which is G is H" have the same truth conditions, they are true, if the only F that fulfils G is actually H. I 193 DonnellanVsRussell: his strict implication works at most with attributive use. (But he does note make the distinction). I 194 Def Description/Russell: affects an entity which only it fulfills. Donnellan: that is certainly applicable to both uses(!). Ref/Att/Donnellan: if both are not distinguished, the danger is that it must be assumed that the speaker would have to refer to something without knowing it. E.g. "Presidential candidate": we had no idea that it would be Goldwater. Nevertheless, "presidential candidate" would absurdly refer to Goldwater. Solution: DonnellanVsRussell: attributive use. I 205 Logical Proper Names/"This"/Russell: refer to something without attributing properties! (Donnellan pro) Donnellan: It could eb said that they refer to the thing itself, not to the thing under the condition that it has any special properties. DonnellanVsRussell: he believed that this is something that a description cannot do. But it does work with referential use. I 275 Theory of Descriptions/Reference/Existence/Russell/Donnellan: Attributed to himself as a merit to explain the reference to non-existent things without the need to bring the idea of non-existent references of singular terms into play. His fully developed theory of singular terms extended this to the of proper names. Philosophy of logical atomism: names as covert descriptions. I 275/276 Here, the theory "proper names in the strict logical sense" was introduced, which is rarely found in everyday speech. ((s) logical proper names: "this", etc.) DonnellanVsRussell: we want to try to make Russell’s attempt at a solution (which has not failed) redundant with the "historic explanation". (> like ZinK). I 281 Logical Proper Names/DonellanVsRussell: have no place in a correct theory of reference. Proper Names/Historical Explanation/DonnellanVsRussell: Russell’s view is incorrect in terms of common singular terms: it is not true that common proper names always have a descriptive content. Question: does this mean that ordinary singular terms might be able to fulfill the function which according to Russell only logical proper names can have?. I 283 Descriptions/DonellanVsRussell: it seems absurd to deny that in E.g. Waverley that what is described by the description, i.e. Scott, is not "part" of the expressed proposition. Russell: was of the opinion that such statements are not really statements about the described or the reference of the name, that they do not really name the described thing! Only logical proper names could accomplish the feat of actually mentioning a certain particular. "About"/Reference/DonnellanVsRussell: Putting great emphasis on concepts such as "about" would lead us into marshy terrain. We should require no definition of "about"!. It would be a delicate task to show that such a statement is either not a statement in any sense of "about" about the described thing or that there is a clear sense of "about" by it being not. I 285/286 DonnellanVsRussell: For his theory he paid the price of giving up the natural use of singular terms. RussellVsVs: but with the "natural conception" we end up at the Meinong population explosion. Proper Names/Historical Explanation/DonnellanVsRussell: according to my theory names are no hidden descriptions. E.g. "Homer" is not an abbreviation for "The author of the Homeric poems". I 209 DonnellanVsRussell/Kripke: Question: Does he refute Russell? No, in itself not! For methodological considerations, Russell’s theory is better than many thought. Nevertheless, it will probably fail in the end. I 222 Statement/Donnellan/VsRussell/Kripke: It’s not so clear that Donnellan refutes Russell. E.g. "Her husband is kind to her": had Donnellan flatly asserted that this is true iff. the lover is nice, without regard to the niceness of the husband (is perhaps also nice), he would have started a dispute with Russell. But he does not assert this! If we now asked "Is the statement is true?", Donnellan would elude us. Because if description is used referentially, it is unclear what is meant by "statement". If the statement is to be that the husband is nice, the problem is: to decide whether ref. or att. Referential: in this case, we would repeat the speech act wrongly, Attributive: we ourselves would be referring to someone, and we can only do that if we ourselves believe that it is the husband. I 232 DonnellanVsRussell/Kripke: Are the two really conflicting? I propose a test: Test: if you consider whether a particular linguistic phenomenon in English is a counterexample to an analysis, you should consider a hypothetical language that is similar to English, except that here the analysis is assumed to be correct. If the phenomenon in question also appears in the corresponding (hypothetical) community, the fact that it occurs in English cannot refute the hypothesis that the analysis for English is correct!. DonnellanVsRussell/Kripke: Test: would the phenomenon ref/att occur in different languages?. I 234 E.g. Sparkling Wine: speakers of the weaker and middle languages think (albeit erroneously) that the truth conditions are fulfilled. Weak: here, the apparatus seems to be entirely adequate. The semantic reference is the only object. Our intuitions are fully explained. Strong: Here, the phenomenon may occur as well. Even ironic use may be clear if the affected person drinks soda. I 235 These uses would become more common in the strong language (which is not English, of course), because the definite article is prohibited. This leads to an expansion of the speaker reference: If the speaker thinks an item to be fulfilling (Ex)(φ x u ψx), it is the speaker reference, then it may indeed be fulfilling or not. Middle: if speaker reference is applicable in the strong one, it is just as easily transferred to the middle one, because the speaker reference of "ψ(ixφ(x)" is then the thing that the speaker has in mind, which is the only one to fulfill φ(x) and about which he wants to announce that it ψ-s. Conclusion: because the phenomenon occurs in all languages, the fact that it occurs in English can be no argument that English is not a Russell language. Newen/Schrenk I 95 Def Attributive/Donnellan/Newen/Schrenk: E.g. "The murderer of Schmidt is insane" in the view of the body of Schmidt ((s) In the absence of the person in question, no matter whether it is them or not, "Whoever ...".). Def referential/Donnellan/Newen/Schrenk: E.g. "The murderer of Schmidt is insane" in the face of a wild rampaging man at court - while Schmidt comes through the door - ((s) in view of the man in question, no matter whether it’s him or not. "This one, whatever he did..."). |
Donnellan I Keith S. Donnellan "Reference and Definite Descriptions", in: Philosophical Review 75 (1966), S. 281-304 In Eigennamen, Ursula Wolf Frankfurt/M. 1993 |
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