Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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I 170
Def Equinumerousness/Frege/Meixner:
f is a property that is equinumerous with the property g, =Def for at least one two-digit relation R applies:
1) Every entity that has f is in the relation R with exactly one entity that has g
2) If entities that have f are different, so are entities with g
3) inverse of 1: every entity that has g.
Number: can then be defined noncircularly:
x is a natural number =Def x is a finite number property. Number/Meixner: conceived as a property they are typeless functions.
>Numbers, >Definitions, >Definability, >Relations.

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