Philosophy Dictionary of ArgumentsHome
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| Existence predicate, philosophy, logic: as opposed to properties that are attributed by predicates existence is no such property. It is therefore only possible in certain systems and under certain conditions to form an existence predicate. E.g. (∃x)(Fx) - "There is at least one object with the property F" here the "∃" is no existence predicate, but an existential quantifier. See also existence, predicates, predication, properties, quantification, existence statements, existential quantification, semantic ascent, substitutional quantification._____________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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Robert Stalnaker on Existence Predicate - Dictionary of Arguments
I 150f Barcan formula/BF/Stalnaker: the Barcan formula involves the interaction of the universal quantifier with the necessity operator: (BF) "x^NF > N"x^F A (CBF) N"x^F > x^NF. Kripke (1963)(1): Kripke's semantics showed which semantic assumptions are needed additionally. He showed a fallacy in the evidence that was allegedly derived, in lacking these assumptions - it is valid if wRu, Du < Dw. >Domains, >Converse. That is, if the domain of the accessible worlds is a subset of the domain of departing worlds. This applies vice versa for the converse. Qualified converse of Barcan formula/Stalnaker: a qualified converse of the Barcan formula is made with the existence assumption (QCBF) N"x^F > x^N Ex > F). Existence predicate e: Ey ^ (x = y ). >Existence predicate, >Barcan-formula. 1. S. A. Kripke, 1963. Semantical Analysis of Modal Logic I Normal Modal Propositional Calculi. Mathematical Logic Quarterly Volume 9, Issue 5‐6_____________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. |
Stalnaker I R. Stalnaker Ways a World may be Oxford New York 2003 |
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> Counter arguments against Stalnaker
> Counter arguments in relation to Existence Predicate
Ed. Martin Schulz, access date 2024-04-27