Philosophy Lexicon of Arguments

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I 89 f
Number/Frege: is an abstract object - not a property (see below).
Equality of Numbers/Numerical Equality/Equality: is a concept (not a subject).
I 94
Equality/Frege: if a = b is true, is found out by introducing a third element: a mark - is there a c for which the following applies: a = c and b = c? - ((s) tertium comparationis) - ((s) here: E.g. equality in terms of numbers).
I 95
Equality/Frege: - ((s) Number Equality/Numerical Equality/(s) is a concept, not an object - this is what we need here.) - Frege: assuming equality simpliciter would require re-explaining it in any case by establishing an equation.
I 95
Direction/Frege: we can obtain the concept of direction from the parallelism of straight lines - by conceiving a II b as an equation. - From this we abstract the concept of direction. - Also with parallelism the concept of equality is the first thing to be established. - ((s) but not equality of direction).
III 96
Direction/Frege: cannot distinguish from the straight line.
I 102
Equality of Numbers/Numerical Equality/Numbers/Definition/Frege/(s): Quantity can be defined by numerical equality, because there is no need to count for numerical equality! - E.g. assigning knives to plates without counting.


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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.

F I
G. Frege
Die Grundlagen der Arithmetik Stuttgart 1987

F II
G. Frege
Funktion, Begriff, Bedeutung Göttingen 1994

F IV
G. Frege
Logische Untersuchungen Göttingen 1993


> Counter arguments against Frege
> Counter arguments in relation to Equality



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Ed. Martin Schulz, access date 2017-08-21