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Implication: Implication in logic is a relationship between two statements, where the second statement follows from the first statement. It is symbolized by the arrow symbol (→). See also Konditional, Inference, Conclusion, Logic.
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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

Charles Sanders Peirce on Implication - Dictionary of Arguments

Berka I 34
Implication/Boolean Algebra/Peirce: x > y - (x - f)(w - y) = 0
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ad I 46
Implication/reformulation/Peirce/(s): instead of a > b: (a v ~ b) - something is not a dog or a mammal - if something is a dog, it is a mammal - solution/(s): a) no dog or a dog - b) not a dog or a dog and a mammal.(1)
((s) This is not necessarily an excluding or: E.g. law of excluded middle. not excluding or - this only turns into an excluding or by the meaning of the negation sign).
>Disjunction
, >Excluded Middle, >Logic, cf, >Conjunction.

1. Ch. S. Peirce, On the algebra of logic. A contribution to the philosophy of notation. American Journal of Mathematics 7 (1885), pp. 180-202 – Neudruck in: Peirce, Ch. S., Collected Papers ed. C. Hartstone/P. Weiss/A. W. Burks, Cambridge/MA 1931-1958, Vol. III, pp. 210-249

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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.

Peir I
Ch. S. Peirce
Philosophical Writings 2011

Berka I
Karel Berka
Lothar Kreiser
Logik Texte Berlin 1983


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