Disputed term/author/ism | Author |
Entry |
Reference |
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Aboutness | Prior | Prior I 21 "About"/Prior: believing-that, thinking-that never goes about propositions, but rather, what propositions are about. >Propositions, >Facts. "About" is systematically ambiguous; what it means depends on what kind of a name or quasi-names (eg numbers) follows. >Systematic ambiguity. Prior I 57f "about"/Prior: instead of propositions about propositions (identity of propos E.g. "Bachelors ... "/" unmarried ... " better: "if someone expresses .."Bachelors...". expresses the same propossition as "..unmarried ..." this is not about propositions. >Levels/order, >Description levels. Prior I 155f "about"/Unicorn example: that a sentence is really about something (existent), cannot depend on the shape, because the shape is the same when the subject is fictional. >Unicorn-example, >Non-existence, >Fictions, >Logical form. |
Pri I A. Prior Objects of thought Oxford 1971 Pri II Arthur N. Prior Papers on Time and Tense 2nd Edition Oxford 2003 |
Ambiguity | Hintikka | II 48 Def systematic ambiguity/Frege/Hintikka: all of our expressions are systematically ambiguous; that is, they refer to different things depending on whether they are direct (transparent, extensional) contexts or indirect (intensional, opaque) contexts. >Intensionality, >Extensionality, >Context, >Opacity. II 50 Semantics of possible worlds/HintikkaVsFrege: here there is no > systematic ambiguity, i.e. the expressions mean intensionally the same as extensionally. E.g. to know what John knows is to know the worlds that are compatible with his belief, and to know which ones are not. >Possible world semantics. II 51 Extra-premise: for this, one must be sure that an expression in different worlds takes out the same individual. Context: what the relevant worlds are, depends on the context. E.g. Ramses: here the case is clear. On the other hand: e.g. Herzl knew that Loris was a great poet. Additional premise: Loris = Hofmannsthal. |
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 |
Ambiguity | Quine | I 231 Ambiguity: The name Paul is not ambiguous. It is not a general term but a singular term with dissemination. Ambiguity Action/Habit: are ice skaters, delivery (action, object). I 232 Truth is not ambiguous but general. A true confession is as true as math. Law: There is a difference between laws and confessions! Also, "existence" is not ambiguous. I 233 Circumstances/Quine: circumstances are important for ambiguities. I 236 Ambiguities: "a" (can be "any"). "Nothing" and "nobody" are undetermined singular terms (E.g. Polyphemus). I 244 An ambiguous scope cannot be decided by parentheses. Undetermined singular terms are: a, any, every member - "not a"/"not every" - "I think one is so that ..." / "one is so that I think ... ". IX 184 "Systematic (or type-wise) ambiguity/Russell: a solution for the problem are relations: the type is only fixed when we state the type of things from the left end of the range and from the right end of the range. There is one problem however: the two-dimensionality can add up to growths: E.g. type of a relation of things of type m to things of type n: (m, n). The type of a class of such relations should be called ((m, n)), then [((m,n))] is the type of a relation of such classes to such classes. Orders were obviously even worse. IX 194 Systematic Ambiguity/theoretical terms/Quine: (context: polyvalent logic, 2nd order logic) Systematic ambiguity suppresses the indices and allows to stick to the simple quantifier logic. A formula like "∃y∀x(xεy)", which is treated as a type-wise ambiguous, can simply be equated with the scheme ∃yn + 1 ∀xn (xn ∃yn + 1), where "n" is a schematic letter for any index. Its universality is the schematic universality that it stands for any of a number of formulas: ∃y1 "x0 (x0 ε Y1), ∃y2 "x1(x1 ε y2). It does not stand for the universality that consist in the fact that it is quantified undivided over an exhaustive universal class. A formula is meaningless if it cannot be equipped with indices that comply with the theoretical terms. Problem: then also the conjunction of two meaningful formulas can become meaningless. Systematic ambiguity/theoretical terms: we can always reduce multiple variable types to a single one if we only take on suitable predicates. "Universal variables" that we restrict to the appropriate predicate are: "Tnx" expresses that x is of type n. The old formulae: "∀xnFxn" and "∃xnFxn". New is: "x(Tnx > Fx)", e.g.(Tnx u Fx). >Indeterminacy/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 |
Empiricism | Searle | I 89 SearleVsEmpricism: "empirical" is ambiguous: ontological (causal) or epistemologically (observable parallelism). >SearleVsEmpiricism. Behavior is irrelevant when it comes to the ontology of consciousness. We could have two systems (robots) with identical behavior, one of which has consciousness and the other does not. Empiricist philosophers will not be comfortable with these thought experiments. It will seem to you as if I am assuming the existence of empirical facts regarding the mental states of a system, but which cannot be proved by any empirical means. You believe that the behavior of another system is the only clue we have to attribute mental states to this system. >Robot, >Behavior, >Simulation, >Consciousness, >Zombies, >Mind, >Computer-model, >Turing test. There is a systematic ambiguity in the use of the word "empirical". (a) Ontological sense of "empirical." Then when one speaks of empirical facts, sometimes contingent facts in the world are meant. I 90 b) Epistemological sense of this word. Here one means a provable sense, namely from the perspective of the third person. Supposedly, all empirical facts are equally accessible to all competent observers. But we know that this is not true. There are any number of empirical facts which are not equally accessible to all competent observers. ((s) Otherwise one would have to define competence by access, which would be circular.) |
Searle I John R. Searle The Rediscovery of the Mind, Massachusetts Institute of Technology 1992 German Edition: Die Wiederentdeckung des Geistes Frankfurt 1996 Searle II John R. Searle Intentionality. An essay in the philosophy of mind, Cambridge/MA 1983 German Edition: Intentionalität Frankfurt 1991 Searle III John R. Searle The Construction of Social Reality, New York 1995 German Edition: Die Konstruktion der gesellschaftlichen Wirklichkeit Hamburg 1997 Searle IV John R. Searle Expression and Meaning. Studies in the Theory of Speech Acts, Cambridge/MA 1979 German Edition: Ausdruck und Bedeutung Frankfurt 1982 Searle V John R. Searle Speech Acts, Cambridge/MA 1969 German Edition: Sprechakte Frankfurt 1983 Searle VII John R. Searle Behauptungen und Abweichungen In Linguistik und Philosophie, G. Grewendorf/G. Meggle Frankfurt/M. 1974/1995 Searle VIII John R. Searle Chomskys Revolution in der Linguistik In Linguistik und Philosophie, G. Grewendorf/G. Meggle Frankfurt/M. 1974/1995 Searle IX John R. Searle "Animal Minds", in: Midwest Studies in Philosophy 19 (1994) pp. 206-219 In Der Geist der Tiere, D Perler/M. Wild Frankfurt/M. 2005 |
Possible World Semantics | Hintikka | II 43 Semantics of Possible Worlds/possible world semantics/non-existent objects/non-existence/possibility/Hintikka: the semantics of possible worlds should assume possible individuals as inhabitants not only of possible worlds, but even of the actual world. II 50 Semantics of Possible Worlds/HintikkaVsFrege: here there is no >systematic ambiguity, i.e. the expressions mean intensionally the same as extensionally. >Intensions, >Extensions. E.g. to know what John knows is to know the worlds that are compatible with his belief, and to know which ones are not. II 51 Extra premise: for this, one must be sure that an expression in different worlds picks out the same individual. Context: what the relevant worlds are, depends on the context. E.g. Ramses: here the case is clear. On the other hand: E.g. Herzl knew that Loris was a great poet. Additional premise: Loris = Hofmannsthal. II 53 Meaning Function/semantics of possible worlds/Hintikka: the difference of my approach to that of Frege is that I consider the problems locally, while Frege regards them globally. Fregean sense (= way of being given)/Hintikka: the Fregean sense must be regarded as defined for all possible worlds. >Fregean sense, >Way of givenness. On the other hand: Hintikka: if the Fregean sense is constructed as a meaning function, it must be regarded in my approach only as defined for the relevant alternatives. Frege: Frege uses the concept of the identity of the senses implicitly. And as a function of meaning the identity is only given if the mathematical function applies for all relevant arguments. Totality/Hintikka: this concept of the totality of all logically possible worlds is now highly doubtful. Solution/Hintikka: precisely the semantics of possible worlds helps to dispense with the totality of all possible worlds ((s) and to only consider the relevant alternatives, defined by the context). Fregean Sense/Hintikka: the Fregean sense was constructed as a quasi-object (object of setting, propositional object, thought object, object of belief), because they were assumed as entities in the actual world, however abstract they were. II 54 Meaning Function/HintikkaVsFrege/Hintikka: unlike Fregean senses, meaning functions are neither here nor elsewhere. Problem/Hintikka: Frege was tempted to reify his "senses". Object of Knowledge/object of thought/Frege/Hintikka: Frege has never considered the problem, unlike e.g. Quine. >Objects of thought, >Objects of belief. II 57 Meaning Function/semantics of possible worlds/Hintikka: in order to be a solution, the meaning function must be a constant function, that is, it must pick out the same individuals in all the worlds. II 205 Semantics of Possible Worlds/Hintikka: the semantics of possible worlds needs no conception of possible worlds as complete cosmological worlds, but only "small worlds", rather like event progress or situations, I also speak of "scenarios". >Situations. Possible World/Hintikka: the expression possible world is misleading, if one considers them as complete worlds. |
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 |
Russell’s Paradox | Quine | IX 181 Russell’s paradox/Theoretical Term/Quine: how is it avoided in the theoretical terms? - If y the truth function ~^j^j (the attribute of not being an attribute of itself - then by concretisation that "c(yc~cc.) - And thus in particular that yy~yy. 1) The combination "jj" is ungrammatical, because the order of an statement function must exceed that of its arguments 2) Even if it was not excluded: if one defines y as ~jj, y obtains a higher order than its bound variable "j" and thus one cannot use c for y in this step, which led to "yy~yy". IX 196 Antinomy/Russell: should be neither true nor false, but simply meaningless - A is also avoided by limiting the variables - but after Wieners gP, the model of finite classes does not depend on the futility of the violation - they simply become wrong - with universal variables the systematic ambiguity also becomes void. IX 227 Russell’s paradox/Quine: set of all...exists! However, as oc - or "class of all classes that do not ..." does not exist, but "class of all sets that do not ...". |
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 |
Variables | Quine | V 129 Variables/Quine: Their archetype are the pronouns - in the relative clause the relative pronoun stands for the name of the object. --- VI 37/38 Variable/Quine: allows us to manoeuvre every occurrence of "a" into a context of "a =" and to treat the resulting context as an unanalysable predicate "A" that absorbes the singular term - singular term: can be re-introduced later as a description. --- VII (a) 13 Bound variable/Quine: instead of it, we can say that something is in the range of a pronoun. --- VII (f) 107ff Variables/Quine: "F": not bindable - Only apparent predicates, vacancies in the sentence chart - "p", "q", etc. stand for whole expressions, they are sometimes viewed as if they needed entities whose names are these expressions (these are called propositions) - "p" "q", etc. are never bound variables! - "p>q" not a sentence, but a scheme. --- VII (f) 110 Not bindable variable/Quine: E.g. "p". If it were considered to be the name of some entity, it would have to be a bindable variable, which is not the case - e.g. "F" on a par with "p": if predicates are to be the names of some entity, they would have to be regarded as bindable variables, which they are not. VII (f) 110 Variables/Numbers/Quine: in "x + 3 > 7" "x" should be regarded as a pseudo-number - "x + 3> 7" should be considered a pseudo-sentence or scheme. It cannot be quantified. VII (f) 111 Variables/Quine: Greek letters: completely different status: they occur in a language about language: E.g. (3) (∃a)(φ v ψ) is on a semantically higher level than "x + 3> 7". (3) is a name of a sentence or expression - Greek letters are standing for sentences here - they are quantifiable - "φ": grammatically substantival, occupies the place of names of sentences. - "p": grammatically sentential (sentence form): has the place of complete sentences. --- IX 194f Universal variable/Systematic ambiguity/Quine: possibly at the expense of adding new and unreduced predicates "T0", "T1", "T2",... that are added to "ε", we can get rid of the special, indexed variables in favor of the universal variables x, y.... - in fact, "Tnx" can easily be expressed with help of "ε" and the logic: "∃z(x,y ε z)" ensures compliance of the type in x and y and vice versa ensures compliance of the type with x and y that xn, yn ε ϑ n + 1, that ∃z(x,y, ε z). - Thus disappears Russell’s grammatical constraint, that declared "xm ε y n" meaningless if m + 1 unequal n - "m ε y n" now becomes useful for all m and n - if m + 1 unequal n, so "xm ε y n" simply becomes wrong. --- X 95 Variables/Quine: quantifiable variables should never be in predicate places, but always in name places. |
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 |
Disputed term/author/ism | Author Vs Author |
Entry |
Reference |
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Frege, G. | Hintikka Vs Frege, G. | Cresswell I 148 Compositionality/Cresswell: It has long been known that it fails on the surface structure. (Cresswell 1973 p 77). HintikkaVsCompositionality/HintikkaVsFrege: H. says that it is simply wrong. In saying that, he ignores the deep structure. And indeed you can regard the difference of the two readings of (39) (Everybody loves somebody) in the context of the game theory as changing the order in the choice of individuals. Then you could say that the only linguistic object is the surface structure. CresswellVsHintikka: but when it comes to that, his observations are not new. Compositionality/Cresswell: fails if we say that the two readings depend on the order in which we first process "and" then "or", or vice versa. Nevertheless, the Frege principle (= compositionality) is in turn applicable to (44) or (45). It is treated like this in Montague. (see below Annex IV: Game-theoretical semantics). I 149 HintikkaVsCompositionality/HintikkaVsFrege: fails even with higher order quantification. CresswellVsHintikka: this is a mistake: firstly, no compositionality is effective in the 1st order translation of sentences like (29). But authors who use higher-order entities (Montague and Cresswell) do not see themselves as deniers of the Frege principle. Hintikka seems to acknowledge that. (1982 p 231). I 161. "is"/Frege/Russell: ambiguous in everyday language. HintikkaVsFrege/KulasVsFrege: (1983): not true! Cresswell: ditto, just that "normal semantics" is not obliged to Frege-Russell anyway. Hintikka II 45 (A) Knowledge/Knowledge Objects/Frege/Hintikka: His concern was what objects we have to assume in order to understand the logical behavior of the language, when it comes to knowledge. Solution/Frege/Hintikka: (see below: Frege’s knowledge objects are the Fregean senses, reified, >intensional objects). Hintikka: For me, it is primarily about the individuals of which we speak in epistemic contexts; only secondarily, I wonder if we may call them "knowledge objects". Possible Worlds Semantics/HintikkaVsFrege: we can oppose the possible worlds semantics to his approach. (Hintikka pro possible worlds semantics). II 46 Idea: application of knowledge leads to the elimination of possible worlds (alternatives). Possible World/Hintikka: the term is misleading, because too global. Def Scenario/Hintikka: everything that is compatible with the knowledge of a knower. We can also call them knowledge worlds. Set of All Possible Worlds/Hintikka: we can call it illegitimate. (FN 5). Knowledge Object/Hintikka: can be objects, people, artifacts, etc. Reference/Frege/Hintikka: Frege presumes a completely referential language. I.e. all our expressions stand for some kind of entities. They can be taken as Fregean knowledge objects. Identity/Substitutability/SI/Terminology/Frege/Hintikka: SI is the thesis of the substitutability of identity ((s) only applies with limitation in intensional (opaque) contexts). II 47 E.g. (1) ... Ramses knew that the morning star = the morning star From this it cannot be concluded that Ramses knew that the morning star = the evening star (although MS = ES). II 48 Context/Frege/Hintikka: Frege distinguish two types of context: Direct Context/Frege/Hintikka: extensional, transparent Indirect Context/Frege/Hintikka: intensional, opaque. E.g. contexts with "believes" (belief contexts). ((s) Terminology: "ext", "opaque", etc. not from Frege). Frege/Hintikka: according to his own image: (4) expression >sense >reference. ((s) I.e. according to Frege the intension determines the extension.) Intensional Contexts/Frege/Hintikka: here, the picture is modified: (5) Expression (>) sense (> reference) Def Systematic Ambiguity/Frege/Hintikka: all our expressions are systematically ambiguous, i.e. they refer to different things, depending on whether they are direct (transparent, extensional) contexts or indirect ones (intensional, opaque). Fregean Sense/Hintikka: Fregean senses in Frege are separate entities in order to be able to work at all as references in intensional contexts. E.g. in order to be able to restore the inference in the example above (morning star/evening start) we do not need the identity of morning star and evening star, but the. identity of the Fregean sense of "morning star" and "evening star". II 49 Important argument: but Frege himself does not reinterpret the identity in the expression morning star = evening star in this way. He cannot express this fact, because there identity occurs in an extensional context and later in an intensional context. Identity/Frege/Hintikka: therefore we cannot say that Frege reinterprets our normal concept of identity. Problem: It is not even clear whether Frege can express the identity of the senses with an explicit sentence. For in his own formal language (in "Begriffsschrift"(1) and "Grundgesetze"(2)) there is no sentence that could do this. He says that himself in: "Über Sinn und Bedeutung": we can only refer to the meanings of our expressions by prefixing the prefix "the meaning of". But he never uses this himself. (B) Knowledge Objects/Possible World Approach/HintikkaVsFrege: Idea: knowledge leads us to create an intentional context that forces us to consider certain possibilities. These we call possible worlds. new: we do not consider new entities (intensional entities) in addition to the references, but we look at the same references in different possible worlds. Morning Star/Evening Star/Possible Worlds Semantics/Hintikka: Solution: "morning star" and "evening star" now single out the same object, namely the planet in the real world. II 50 (C) Possible Worlds Semantics/HintikkaVsFrege: there is no systematic ambiguity here, i.e. the expressions mean the same thing intensionally as extensionally. E.g. Knowing what John knows means knowing those possible worlds which are compatible with his belief, and knowing which are not. II 51 Extra premise: for that it must be sure that an expression singles out the same individual in different possible worlds. Context: what the relevant possible worlds are depends on the context. E.g. Ramses: here, the case is clear, On the other hand: E.g. Herzl knew Loris is a great poet Additional premise: Loris = Hofmannsthal. II 53 Meaning Function/Possible Worlds Semantics/Hintikka: the difference in my approach to that of Frege is that I consider problems locally, while Frege considers them globally. Fregean Sense/(= way of givenness) Hintikka: must be considered as defined for all possible worlds. On the other hand: Hintikka: if Fregean sense is construed as meaning function, it must be regarded as only defined for the relevant alternatives in my approach. Frege: precisely uses the concept of identity of senses implicitly. And as meaning function, identity is only given if the mathematical function works for all relevant arguments. Totality/Hintikka: this concept of totality of all logically possible worlds is now highly doubtful. Solution/Hintikka: it is precisely the possible worlds semantics that helps dispense with the totality of all possible worlds. ((s) And to consider only the relevant alternatives defined by the context). Fregean Sense/Hintikka: was virtually constructed as an object (attitude object propositional object, thought object, belief object). This is because they were assumed as entities in the real world (actual world), however abstract. II 54 Meaning Function/M. F./HintikkaVsFrege/Hintikka: unlike Fregean senses, meaning functions are neither here nor elsewhere. Problem/Hintikka: Frege was tempted to reify his "senses". Knowledge Object/Thought Object/Frege/Hintikka: Frege, unlike E.g. Quine, has never considered the problem. Existential Generalization/EG/Hintikka: entitles us to move from a sentence S(b) with a singular term "b" to the existential statement (Ex) S(x). This fails in intensional (epistemic) contexts. Transition from "any" to "some". E.g. epistemic context: (10) (premise) George IV knew that (w = w) (11) (tentative conclusion) (Ex) George IV knew that (w = x) II 55 Problem: the transition from (10) to (11) fails, because (11) has the strength of (12) (12) George IV knew who w is. EG/Fail/Solution/Frege/Hintikka: Frege assumed that in intensional (opaque) contexts we are dealing with ideas of references. HintikkaVsFrege: Problem: then (11) would follow from (10) in any case ((s) and that’s just what is not desired). Because you’d have to assume that there is definitely some kind of sense under which George IV imagines an individual w. Problem: "w" singles out different individuals in different possible worlds. II 56 Possible Worlds Semantics/Solution/Hintikka: E.g. Suppose. (13) George knows that S(w) to (14) (Ex) George knows that S(x) where S(w) does not contain expressions that create opaque contexts. Then we need an additional condition. (15) (Ex) in all relevant possible worlds (w = x). This is, however, not a well-formed expression in our notation. We have to say what the relevant possible worlds are. Def Relevant Possible Worlds/Hintikka: are all those that are compatible with the knowledge of George. Thus, (15) is equivalent to (16) (Ex) George knows that (w = x). This is the additional premise. I.e. George knows who w is. (Knowing that, knowing who, knowing what). Knowing What/Logical Form/Hintikka/(s): corresponds to "knows that (x = y)" ((s) >single class, single quantity). E.g. knowing that "so and so has done it" does not help to know who it was, unless you know who so and so is. ((s) i.e. however, that you know y!) Solution/Hintikka/(s): the set of possible worlds compatible with the knowledge) II 57 Meaning Function/M. F./Possible Worlds Semantics/Hintikka: in order to be a solution here, the meaning function (see above) needs to be a constant function, i.e. it must single out the same individuals in all possible worlds. Frege/Identity/Opaque Context/Hintikka: Frege had to deal with the failure of the SI (substitutability in case of identity) ((s) i.e. the individuals might have a different name), not with the failure of the Existential Generalization (EG). ((s) I.e. the individuals might not exist). Hintikka: therefore, we need several additional premises. Possible Worlds Semantics: SI: here, for substitutability in case of identity, we only need on the assumption that the references of two different concepts in any possible world can be compared. Existential Generalization: here we have to compare the reference of one and the same concept in all possible worlds. Frege/Hintikka: now it seems that Frege could still be defended yet in a different way: namely, that we now quantify on world-lines (as entities). ((s) that would accomodate Frege’s Platonism). II 58 World Lines/Hintikka: are therefore somehow "real"! So are they not somehow like the "Fregean senses"?. HintikkaVs: it is not about a contrast between world bound individuals and world lines as individuals. World Lines/Hintikka: but we should not say that the world lines are something that is "neither here nor there". Using world lines does not mean reifying them. Solution/Hintikka: we need world-lines, because without them it would not even make sense to ask at all, whether a resident of a possible world is the same one as that of another possible world. ((s) cross world identity). II 59 World Line/Hintikka: we use it instead of Frege’s "way of givenness". HintikkaVsFrege: his error was to reify the "ways of givenness" as "sense". They are not something that exists in the actual world. Quantification/Hintikka: therefore, in this context we need not ask "about what we quantify". II 109 Frege Principle/FP/Compositionality/Hintikka: if we proceed from the outside inwards, we can allow a violation of Frege’s principle. (I.e. the semantic roles of the constituents in the interior are context dependent). II 110 HintikkaVsFrege/HintikkaVsCompositionality: Thesis: meaning entities should not be created step by step from simpler ones in tandem with syntactic rules. They should instead be understood, at least in some cases, as rules of semantic analysis. 1. G. Frege, Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens, Halle 1879, Neudruck in: Ders. Begriffsschrift und andere Aufsätze, hrsg. v. J. Agnelli, Hildesheim 1964 2. Gottlob Frege [1893–1903]: Grundgesetze der Arithmetik. Jena: Hermann Pohle Wittgenstein I 71 Def Existence/Wittgenstein: predicate of higher order and is articulated only by the existence quantifier. (Frege ditto). I 72 Hintikka: many philosophers believe that this was only a technical implementation of the earlier idea that existence is not a predicate. HintikkaVsFrege: the inexpressibility of individual existence in Frege is one of the weakest points, however. You can even get by without the Fregean condition on a purely logical level. HintikkaVsFrege: contradiction in Frege: violates the principle of expressing existence solely through the quantifier, because the thesis of inexpressibility means that through any authorized individual constant existential assumptions are introduced in the logical language. |
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 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 W II L. Wittgenstein Wittgenstein’s Lectures 1930-32, from the notes of John King and Desmond Lee, Oxford 1980 German Edition: Vorlesungen 1930-35 Frankfurt 1989 W III L. Wittgenstein The Blue and Brown Books (BB), Oxford 1958 German Edition: Das Blaue Buch - Eine Philosophische Betrachtung Frankfurt 1984 W IV L. Wittgenstein Tractatus Logico-Philosophicus (TLP), 1922, C.K. Ogden (trans.), London: Routledge & Kegan Paul. Originally published as “Logisch-Philosophische Abhandlung”, in Annalen der Naturphilosophische, XIV (3/4), 1921. German Edition: Tractatus logico-philosophicus Frankfurt/M 1960 |
Various Authors | Simons Vs Various Authors | I 89 Sharvy/quasi-mereology/Simons: Sharvy is actually about a general approach of reference and specific descriptions for all types of nouns: singular term, general term and mass terms ("count singular, plural count and mass"). Sharvy: considering quasi-mereology only for areas which are the extensions of predicates corresponding to such nouns. I 90 Part-Relation/Sharvy: N.B.: accumulation, group. Simons: with that we have a non-random similarity to the ontological functor <, which can also be read as "are some of". Part-Relation: a part-relation may be the identity in the limit, e.g. if the only part of an object is the object itself (e.g. English "boot"?). Mass term/part-relation: water parts are themselves water but that is not trivial because they can also be hydrogen. Quasi-mereology/solution/Sharvy: the part-relation or "some-of"-relation has to be put into perspective. Thus, it is then more fundamental than the identity! Existence/SharvyVsQuine: instead of no "entity without identity", we assume "quasi-mereology". Identity/Sharvy: identity thus becomes the special case of the part-of-relation. SimonsVsSharvy: this fails because if the partial order which should correspond to a predicate is the identity then there is the least upper bound (l.u.b.). It is a subset of the extension of the predicate only if this subset contains a single (single, "singular") element and then the order is not a quasi-mereology, for which namely the least upper bound for all subsets of the extension of the predicate has to exist. I 330 Unity/integrity/whole/complete/Simons: it can occur in variations because of the systematic ambiguity of the predicate "part". I 331 This can lead to individuals, collections or masses. whole: it is here not clear whether the whole formed of individuals is an individual itself. It could also be a collection because the elements form a division because the element-relation is a special case of the part-relation for collections. SimonsVsSociology: undifferentiated concept of a "whole" which is composed of individuals: is again incorrectly assumed as an individual (supra-personal). |
Simons I P. Simons Parts. A Study in Ontology Oxford New York 1987 |