Philosophy Dictionary of ArgumentsHome | |||
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Universal instantiation, logic: on the condition that all objects x have the property F, one can conclude that a particular object, which can be designated, has the property F. See also universal generalization, existential generalization._____________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. | |||
Author | Concept | Summary/Quotes | Sources |
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Peter Geach on Universal Instantiation - Dictionary of Arguments
I 142f UI / Geach: universal Instantiantiation: from (x) Fx to Fw. IE: instantial existentiation: from Fw to (Ex) Fx EI: existenial instantiation: from (Ex) Fx to Fw. IU: Instantial universalization of Fw to (x) Fx. Geach: a proof with IU may be replaced by one which only uses EI. IU and UI are valid also in not non-Shakespearian contexts. (>Shakespearian context: a rose would smell even if it were not be called a rose.) >Identification/Geach._____________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. |
Gea I P.T. Geach Logic Matters Oxford 1972 |