Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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I 80
"All properties of" is illegitimate! -> Reducibility axiom: only "property 2nd order of ..." - of the whole of predicates, not of Napoleon! - Reducibility-axioms are necessary for identity (GoedelVs).
I 81f
All properties of a great emperor/Principia Mathematica(1)/Russell: Solution: (j): f (! j ^ z) implies j! (Example of Napoleon) - because the reference to a set of predicates is not itself a predicate of Napoleon.
I 143f
Principia Mathematica, 2nd Edition: "Napoleon had all the properties": New: variable function!


1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press.

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