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Paradox of implication: A statement is true according to the standard definition of implication, when the antecedent of the implication is false. In any case then the consequent of the implication is (trivially) true. See also Ex falso quodlibet/EFQ, Implication, Paradoxes.
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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

Ludwig Wittgenstein on Implication Paradox - Dictionary of Arguments

II 74
Paradoxes of implication/Wittgenstein: are not a drawing of conclusions - "if ... then" occurs only in hypotheses - however, most statements in everyday language hypotheses - e.g. all men are mortal - but we do not mean that they are mortal, even when there are no humans. >Hypotheses
, >Conclusions.

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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.

W II
L. Wittgenstein
Wittgenstein’s Lectures 1930-32, from the notes of John King and Desmond Lee, Oxford 1980
German Edition:
Vorlesungen 1930-35 Frankfurt 1989

W III
L. Wittgenstein
The Blue and Brown Books (BB), Oxford 1958
German Edition:
Das Blaue Buch - Eine Philosophische Betrachtung Frankfurt 1984

W IV
L. Wittgenstein
Tractatus Logico-Philosophicus (TLP), 1922, C.K. Ogden (trans.), London: Routledge & Kegan Paul. Originally published as “Logisch-Philosophische Abhandlung”, in Annalen der Naturphilosophische, XIV (3/4), 1921.
German Edition:
Tractatus logico-philosophicus Frankfurt/M 1960


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