Psychology Dictionary of ArgumentsHome
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| Existential quantification, logic: formalizing the statement that in a specified domain there is at least one object with a certain property. The quantification consists of a quantifier "(∃x)" "for some x", a variable for objects "x" and one or more variables for the predicates F, G ... - The quantification does not claim the existence of the properties ascribed. See also universal quantification, quantification, quantifiers, logic, second order logic, HOL, schematic letters, predicates._____________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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Peter Geach on Existential Quantification - Dictionary of Arguments
I 2ff Boy-Girl fallacy/Geach: shift of the quantifier: from "someone" to "there is a ..". >Quantification. "The Third Man" argument/Parmenides/Plato: there is an excellent man to whom we all owe our existence - so we all owe a certain man our existence. "Some girl"/Geach: one might think that here there is no specific reference. >Reference. GeachVs: there can be no "reference to an undefined girl" - there is no such creature. One must have a certain girl in mind, to use "a" -> "someone", cf. >Objects of thought, >Objects of belief, >Individuation, >Identification, >Mental objects._____________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. |
Gea I P.T. Geach Logic Matters Oxford 1972 |
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> Counter arguments against Geach
> Counter arguments in relation to Existential Quantification
