# Philosophy Dictionary of Arguments

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Author Concept Summary/Quotes Sources

Ludwig Wittgenstein on Mathematics - Dictionary of Arguments

II 346
Mathematics/Wittgenstein: mathematical propositions are not true or false - but they show what is usefull and what useless.
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II 385
See/Mathematics/Wittgenstein: E.g. that four consists of two and two in the sense of 2 + 2 = 4, cannot be seen. - There is no phenomenon of seeing that a grammatical sentence applies.
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II 392
Calculate/Wittgenstein: that a calculation with different methods (for example, tally) leads to the same result, does not come from the nature of the process - from the processes follows no need.
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II 395
Decimal fraction/development/Wittgenstein: (> decimals): the discovered periodicity is no reason that someone needs to accept that it always has to go on like this. - but he must well accept if he is not a fool. - The fact that we have to acknowledge that in mathematics two methods lead to the same result, is not a fact of experience, but a rule.
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II 399
Evolution of the number π/Wittgenstein: question whether 3 sevens have to occur or do not have to occur - in fact there is no way to answer that. - It is weird that we can ask this question without knowing a means of discovering the answer. - ((s)> Verificationism.) - Since π is our own creation, we could say that we have invented all the consequences.
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II 400
Mathematics/Name/Object/Wittgenstein: in mathematics, there is no such thing as the description of something on the one hand, and his name on the other.
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II 406
Sense/Mathematics/Wittgenstein: it is not that a mathematical proposition only makes sense if it was proven to be true or false, but first he must have sense, so that it can be true or false.
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II 409
Definition Fundamental Theorem of Algebra/Wittgenstein: every equation has a solution.

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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

> Counter arguments against Wittgenstein

Ed. Martin Schulz, access date 2022-08-12