Philosophy Lexicon of Arguments

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Bourbaki, N.
 
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Structures 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.
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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. 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.
Bourbaki, N.
T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


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Ed. Martin Schulz, access date 2017-03-28