Philosophy Dictionary of ArgumentsHome
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| Lambda Calculus, philosophy: The lambda calculus provides a way to avoid problems related to paradoxes, since, unlike the quantification of predicate logic, it does not make any existence assumptions. Where the quantification (Ex)(Fx) is translated colloquially as "There is an x with the property F" (in short "Something is F"), the translation of the corresponding form in the Lambda calculus is "An x, so that...". See also 2nd order 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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Uwe Meixner on Lambda Calculus - Dictionary of Arguments
I 90 Lambda operator/Meixner: "A (b1, ... bn)" is true if and only if b1, bN .. EXEM λo1 ... oN [A (O1 ... oN] - here stands "A (b1,. ..bN)" for any sentence with N different names. >Names, >Sentences. λO1 ... ON [A (O1 ... oN]: represents the name of an N-ary (predicative) universal. >Universals. O1 the placeholder replaces the O1 b1 name wherever it occurs in A (b1, ... bn). >Placeholder. λO1 ... oN .: this prefix indicates that λo1 ... ON [A (O1 ... on] is not a complete expression, but just a name: λO1 ... oN binds all vacancies in [A (O1 ... oN]. >Expressions/Meixner. The name "λO1 [O1 is a human being."] corresponds to the characteristic of being human. >Properties._____________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. |
Mei I U. Meixner Einführung in die Ontologie Darmstadt 2004 |
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> Counter arguments against Meixner
> Counter arguments in relation to Lambda Calculus
Ed. Martin Schulz, access date 2024-04-27