Economics Dictionary of ArgumentsHome
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| Mathematics: Mathematics is the study of patterns and relationships. It encompasses arithmetic, algebra, calculus, geometry, trigonometry, topology, and others. Mathematics is used in science, engineering, business, and finance. See also Physics, 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 Mathematics - Dictionary of Arguments
II 346 Mathematics/Wittgenstein: mathematical propositions are not true or false - but they show what is usefull and what useless. >Sense, >Senseless, >Use, >Truth, >Truth values. II 385 Seeing/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. >Evidence, >Grammar. 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. >Necessity, >Calculus. 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. >Rules. 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. 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. 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. II 409 Definition Fundamental Theorem of Algebra/Wittgenstein: every equation has a solution._____________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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