Philosophy Lexicon of Arguments

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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.
 
Author Item Excerpt Meta data
Geach, Peter T.
 
Books on Amazon
Existential Quantification I 2ff
Boy-Girl fallacy / Geach: shift of the quantifier: from "someone" to "there is a .." - "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 ... - "some girl": one might think that here there is no specific 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".

Gea I
P.T. Geach
Logic Matters Oxford 1972


> Counter arguments against Geach



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Ed. Martin Schulz, access date 2017-03-24