Philosophy Dictionary of ArgumentsHome
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| Modalities: modalities are in modal logic possibility, necessity and contingency._____________Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments. | |||
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Alonzo Church on Modalities - Dictionary of Arguments
Quine VII 153 Modality/Modal Logic/Ontology/Church: (1943)(1) Proposal: the quantified variables should be limited to intensional values. >Intensions, >Intensionality, cf. >Extension, >Extensionality. Carnap: took this in extreme form for his entire system. He himself presented this as a complicated double interpretation of his variables. QuineVsChurch, QuineVsCarnap: see above. Proposition/Church: (late): complex names of certain intensional objects. >Propositions. Intensional Logic/Church: later: instead of a necessity generator (related to whole sentences): New: Necessity predicate: which is related to complex names of certain intensional objects, called "propositions". >Intensional logic, >Operators, >Necessity operator. VII 154 In these propositions, the constants and variables of the corresponding propositions no longer appear (otherwise circular). >Names of sentences, >Circular reasoning, >Levels, >Constants, >Variables. This reflects the interplay between events inside and outside the modal contexts. Church did not call this modal logic, nor should we. Cf. >Modal Logic. Modal logic in the narrower sense has to do with the modal operator in relation to whole sentences. >Modal operators. 1. Church, Alonzo. The Journal of Symbolic Logic, vol. 8, no. 1, 1943, pp. 31–32. JSTOR, https://doi.org/10.2307/2267985. Accessed 18 Nov. 2022._____________Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Chur I A. Church The Calculi of Lambda Conversion. (Am-6)(Annals of Mathematics Studies) Princeton 1985 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 |
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> Counter arguments against Church
> Counter arguments in relation to Modalities
Ed. Martin Schulz, access date 2024-04-19