Psychology Dictionary of Arguments

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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.
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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

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.


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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


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