Lexicon of Arguments

 Philosophical and Scientific Issues in Dispute
 
[german]


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Sc. Camps
Theses I
Theses II

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I 312
The fact that systems with categorically different objects have the same structure does not seem more surprising than the occurrence of structural similarities between areas of categorically different objects.
>Structures.
Thiel I 312
In modern mathematics one speaks not only of "the" addition, but of "an addition" and introduces linking signs. For example, one writes addition as "$" if it is associative and commutative, if it is not the case, one might prefer to write the operation as multiplication "§" or something else.
>Junctions, >Connectives, >Definitions, >Definability, cf. >Equal sign.
I 312/313
Ontology/object/mathematics/Thiel: the validity of such laws does not turn the subject area into a number area, just as the validity of any set-theoretical laws transforms the (ranges of) numbers into (ranges of) sets.
>Mathematical entities.
The registration of the possible types of operations does not provide any fundamental discipline.

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