Philosophy Dictionary of ArgumentsHome
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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._____________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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Ludwig Wittgenstein on Implication - Dictionary of Arguments
II 74 Implication/Russell: it is also true if p is wrong. >Paradox of implication. Implication/WittgensteinVsRussell: Paradox for two reasons: 1. We confuse implication with reasoning. 2. In everyday life we never use " if... then " in this sense. It is always hypotheses in which we use that expression. Most of the things we talk about in everyday life are in fact always hypotheses. For example, "All humans are mortal." >Hypotheses. Just as Russell uses it, it remains true even if there is nothing that corresponds to the description f(x). II 75 But we do not believe that all humans are mortal even when there are no humans. II 79 Implication/Wittgenstein: we can say that one sentence follows the other, provided the W's of the latter include those of the former. >Conclusions. II 137 Implication/Paradox/Material/Existence/WittgensteinVsRussell: in Russell's notation both "All S are P" and "No S is P" is true, if there is no S at all. Because the implications are also verified by ~fx. In reality, this fx is independent both times! All S are P: (x) gx >.fx No S is P: (x) gx > ~fx This independent fx is irrelevant, it is an idling wheel! Example: If there are unicorns, they bite, but there are no unicorns = there are no unicorns. >Non-existence._____________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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> Counter arguments against Wittgenstein
> Counter arguments in relation to Implication
Ed. Martin Schulz, access date 2024-04-19