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Conditional: A conditional in logic is a statement that asserts a relationship between two propositions, typically in an "if-then" format. It states that if the antecedent is true, then the consequent must also be true. In contrast to (purely formal) implication, the conditional refers to the content of the propositions. See also Implication.
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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

Michael E. Dummett on Conditional - Dictionary of Arguments

III (a) 19
Gap/Dummett: a gap does not occur in material conditional - but probably with bets that leave it unclear whether the antecedent is satisfied at all.
III (a) 21/22
Statements/truth/Dummett: assuming simple language without counterfactual conditionals: then two types of conditionals are possible:
1) conditional statement
a) if the antecedent is fulfilled, then like categorical statement
b) if antecedent is not fulfilled: No statement!
2) as material conditional it is true if antecedent is false.
III (a) 23
E.g. Indigenous people: then the behavior does not show which of the two statements is correct - then empty distinction - Conclusion: every sit in which nothing can be conceived as being false is one of being true. -> Truth value gap
. - Analogy: Command: suspension of the test: no disobedience - conditional: no abuse possible. - The speaker implies that he precludes that the antecedent is true and the consequent is wrong - otherwise: > Atomic sentence.

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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.

Dummett I
M. Dummett
The Origins of the Analytical Philosophy, London 1988
German Edition:
Ursprünge der analytischen Philosophie Frankfurt 1992

Dummett II
Michael Dummett
"What ist a Theory of Meaning?" (ii)
In
Truth and Meaning, G. Evans/J. McDowell, Oxford 1976

Dummett III
M. Dummett
Wahrheit Stuttgart 1982

Dummett III (a)
Michael Dummett
"Truth" in: Proceedings of the Aristotelian Society 59 (1959) pp.141-162
In
Wahrheit, Michael Dummett, Stuttgart 1982

Dummett III (b)
Michael Dummett
"Frege’s Distiction between Sense and Reference", in: M. Dummett, Truth and Other Enigmas, London 1978, pp. 116-144
In
Wahrheit, , Stuttgart 1982

Dummett III (c)
Michael Dummett
"What is a Theory of Meaning?" in: S. Guttenplan (ed.) Mind and Language, Oxford 1975, pp. 97-138
In
Wahrheit, Michael Dummett, Stuttgart 1982

Dummett III (d)
Michael Dummett
"Bringing About the Past" in: Philosophical Review 73 (1964) pp.338-359
In
Wahrheit, Michael Dummett, Stuttgart 1982

Dummett III (e)
Michael Dummett
"Can Analytical Philosophy be Systematic, and Ought it to be?" in: Hegel-Studien, Beiheft 17 (1977) S. 305-326
In
Wahrheit, Michael Dummett, Stuttgart 1982


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