Philosophy Lexicon of Arguments

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Negation, philosophy, logic: negation of a sentence. In logic, this is done by prefixing the negation symbol. Colloquially expressed by the word "not", which can be at different positions in the sentence. If the negation refers only to one sentence part, this must be made clear by the position, e.g. a predicate can be denied without negating the whole sentence. In logic, therefore, inner and outer negation is distinguished by the use of different symbols.

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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II 308
Vagueness/indeterminacy/logic/"reject"/Field: Def Rejecting: is not accepting the negation.
Moderate non-classical logic/Field: should be defined without "Reject": it does not accept any. instances of the Sentence of the Excluded Middle, but also does not accept the negation of any instance - Reject: this sense should be less than the meaning of "accepting the negation". - But it must in turn be stronger than "not accept".
Def "p reject": "accept that it is not the case that determined p".
"Low" acceptance should be more than "not high". - If the threshold > acceptance, then rejecting is stronger than non-accepting. - Assumed, belief degrees in a sentence and its negation add up to less than 1, then: reject: weaker than accept the negation.

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

H. Field
Science without numbers Princeton New Jersey 1980

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Ed. Martin Schulz, access date 2018-05-24