|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.|
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|Existence Predicate||I 150f
Barcan formula / BF / Stalnaker: 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) his semantics showed to which semantic assumptions additionally needed He showed a fallacy in the evidence that was allegedly derived, in lacking these assumptions - it is valid if wRu, Du < Dw that is, if the domain of the accessible worlds is a subset of the domain of departing worlds - vice versa for the converse -> qualified converse of BF / Stalnaker: with existence assumption - (QCBF) N"x^F > x^N Ex > F) - existence predicate e: Ey ^ (x = y ).
Ways a World may be Oxford New York 2003