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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Arthur N. Prior on Lambda Calculus - Dictionary of Arguments
I 45 Lamda-operator/abstraction operator/Prior: the lamda-operator is not equivalent with abstract nouns. It does not refer to properties, for it cannot replace the name variable. - ((s) Adjunction of characteristics.) No problem: "something φ-s or ψ-s" but not "the property of φ-ing-or-ψ-ing" as an abstract entity. >Abstractness, >Abstract objects, >Properties. Solution: "A v C "(either A-ing or C-ing" - is not an abstract noun, but acomplex verb that forms a sentence. The lamda-operator is necessary if one wants to formulate laws on propositions. >Operators, >Lambda notation._____________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. |
Pri I A. Prior Objects of thought Oxford 1971 Pri II Arthur N. Prior Papers on Time and Tense 2nd Edition Oxford 2003 |
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> Counter arguments against Prior
> Counter arguments in relation to Lambda Calculus
Ed. Martin Schulz, access date 2024-04-28