Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
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Theses II

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Thiel I 270
Bourbaki speaks of a reordering of the total area of mathematics according to "mother structures". In modern mathematics, abstractions, especially structures, are understood as equivalence classes and thus as sets.
>Sets, >Set theory, >Structures/Mathematics, >Abstracta, >Mathematical entities, >Equivalence classes.
Thiel I 307
Bourbaki opposes the "modern" structures to the classical "disciplines". The theory of the primes is closely related to the theory of algebraic curves.
>Primes.
The Euclidean geometry borders the theory of integral equations. The principle of organization will be one of the hierarchies of structures that goes from simple to complex and from general to particular.
>Geometry.

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