Philosophy Lexicon of Arguments

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Law of the Excluded Middle: an assertion is either true or false. "There is no third possibility."See also bivalence, anti-realism, multivalued logic.

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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Berka I 170
SaD/Modal Logic/Becker/Berka: there is a triple SaD here: 1) p is either true or false (untrue - 2) p is either necessary or possibly false (not necessary) - 3) p is either possible (not impossible ) or impossible - but it obviously does not apply: - "p is either necessary (tautological) or impossible (contradictory)" - i.e. the SaD does not apply in the "logic of the necessities", but the principle of contradiction does apply - no statement both necessary and impossible at the same time - against: logic of possibilities: here precisely the SaD applies: - "a statement is always possibly true or possibly false" - but not the SvW: a statement cannot be possibly true and possibly false at the same time" - I 171 so we have: "p is either necessary or impossible, or at the same time possibly true and possibly false (i.e. "undefined" or "neither necessary nor impossible").

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.
Becker, Gary S.
Brk I
K. Berka/L. Kreiser
Logik Texte Berlin 1983

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Ed. Martin Schulz, access date 2018-05-23