Philosophy Lexicon of Arguments

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Singular Terms, philosophy: singular terms are linguistic expressions for individual objects or situations or totals, which can be determined as something individual. See also general terms, relative terms, abstract terms, reference.

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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.

 
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Books on Amazon
I 147
Singular Term/Field: since an expression does not denote, it does not prevent it from being a real singular term. - e.g. "the number 4"/Field: does not denote any object. - But even with real singular terms, the question is whether the corresponding theorem is true. - The fact that a predicate has no extension does not prevent it from being a sortal: E.g. Homer E.g. "natural number". - FregeVsField: no singular term can stand for a concept. - (Wright pro Frege).
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I 148
Sortal/Wright: syntactically, you cannot create statements of identity that contain a sortal like "well-being" (from "the well-being of children").
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I 149
Singular: E.g. "2" in "2 + 3 = 5" - different: "there are two apples in the room": no singular term, but part of a quantifier - analyzed: numeric functor "the number of" plus singular term "three".
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I 150
If "the direction of c1 = direction of c2" - logically equivalent: "c1 and c2 are parallel" - then expressions like "the direction of" cannot function semantically as a singular term. - If syntactically and semantically singular term, then they are without ontological commitment to other entities than lines. (no direction(s)).
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III
Singular term/Field: we reject a singular term like e.g. "87" - solution: quantifier E87: "there are exactly 87" - quantifiers are not singular terms.
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III 22
"87" does not appear as a name but as part of an operator.


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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.

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

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


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> Counter arguments in relation to Singular Terms



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Ed. Martin Schulz, access date 2017-08-18