Philosophy Lexicon of Arguments

Existence, philosophy, logic: the fact that there is something to which properties can be attributed. That does not mean that something has to be given immediately or can be perceived by the senses. See also ontology, properties, predicates, existence statements, realism, quantification, ascription.
Author Item Excerpt Meta data
Field, Hartry
Books on Amazon
Existence I 80
Necessary Existence/KantVs/Field: nothing can be negated with all its predicates, and nevertheless leave a contradiction. - (VsOntological proof of God) - Existence/Field: should not be part of the logic. - Therefore, mathematics cannot be reduced to logic. - Otherwise, too many properties would have to be assumed.
I 155
Semantic/syntactic/singular Term/Denotation/Ontology/FieldVsWright: it is not built into the syntax that, e.g. The singular term "4" denotes. - (i.e. that the number is an object). - Just as little as "God". - So syntax cannot be the criterion for existence.
I 167
Existence/Ontology/FieldVsWright: does not follow from "explanation of the term", otherwise God's existence would follow from the explanation of the term "God". - term explanation only conditionally: "if there is a God, he is omnipotent" - solution: the term-introducing theory must not be true - existence generalization. - false: from self-identity no existence can be concluded, only reversed.

Fie I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Fie II
H. Field
Truth and the Absence of Fact Oxford New York 2001

H. Field
Science without numbers Princeton New Jersey 1980

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> Counter arguments in relation to Existence

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Ed. Martin Schulz, access date 2017-04-26