Philosophy Dictionary of Arguments

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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.
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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.

 
Author Concept Summary/Quotes Sources

Hartry Field on Existence - Dictionary of Arguments

I 80
Necessary existence/KantVs/Field: nothing can be negated with all its predicates, and nevertheless leave a contradiction. - (VsOntological proof of God).
>Proofs of God's existence
.
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.
>Infinity, >Properties.
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.
>Syntax, >Semantics, >Proofs, >Criteria, >Singular terms.
I 167
Existence/Ontology/FieldVsWright: existence does not follow from "explanation of the term", otherwise God's existence would follow from the explanation of the term "God".
>Explanations.
Term explanation is only conditionally: "if there is a God, he is omnipotent".
Cf. >Omnipotence.
Solution: the term-introducing theory must not be true - existence generalization.
>Introduction, >Existential generalization.
False: from self-identity no existence can be concluded, only in the reverse direction.
>Identity, >Self-identity.

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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.

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

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

Field III
H. Field
Science without numbers Princeton New Jersey 1980

Field IV
Hartry Field
"Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67
In
Theories of Truth, Paul Horwich, Aldershot 1994


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Ed. Martin Schulz, access date 2024-04-19
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