Psychology Dictionary of ArgumentsHome
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| Calculus: a calculus is a system of symbols for objects (which are not further specified) as well as rules for the formation of expressions by the composition of these symbols. There are other rules for transforming composite expressions into other expressions. As long as no specified objects are accepted for the individual symbols, the calculus is not interpreted, otherwise interpreted._____________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 Calculus - Dictionary of Arguments
Hintikka I 26 Calculus/Wittgenstein/Hintikka: if language is calculus, (WittgensteinVs) you can use formalism to describe those parts of language, which are subject to variation. >Formalism. - - - II 83 Calculus/Description/Border/Wittgenstein: a calculus cannot be described without using it, and language cannot be described without specifying its meaning. >Language, >Description, >Meaning. II 212 Mental Acts/Wittgenstein: mental acts are not used in addition to calculating or speaking - instead: the calculus is precisely speaking as such. Calculating: is one step at a time. There is no mental act which anticipates the whole. Even meaning is not a mental process that would accompany the words. II 426 Calculus/Wittgenstein: two different calculi can result in e.g. 3 - but they are still two different results. II 427 The meaning of such a question is determined by the solution method. The question corresponds to a general law to find an answer. II 428 Rational Numbers/Wittgenstein: here we are talking about cuts with right and left classes. Hardy gives concrete examples. II 429 Question: are the examples essential? What is the meaning of the symbol "P", which denotes all rational numbers of the property, if no examples are given? What is the property of rationality (of numbers) as opposed to what? Calculus/Term/Wittgenstein: the general expressions L (left class) and R (right class) do not expand the area, but form a new expression type. A new calculation. And that is not the discovery of a wider area. Here we have a new area. - - - VI 120 Mathematics/WittgensteinVsHilbert/Schulte: the demand for consistency disrupts peace! VI 121 Instead: "verificationist" approach (intuitionism). Search and find. >Verificationism, >Intuitionism. Search: in mathematics different from the material object. The calculus tells me where to look. Only the method teaches what you have actually asked for. >Method. The meaning of the sentence is the method of its verification. cf. >Sentence meaning._____________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 Hintikka I Jaakko Hintikka Merrill B. Hintikka Investigating Wittgenstein German Edition: Untersuchungen zu Wittgenstein Frankfurt 1996 Hintikka II Jaakko Hintikka Merrill B. Hintikka The Logic of Epistemology and the Epistemology of Logic Dordrecht 1989 |
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> Counter arguments against Wittgenstein
> Counter arguments in relation to Calculus
