Philosophy Lexicon of Arguments

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Bourbaki, N.
 
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Set Theory Thiel I 308
Quantum theory: in Bourbaki it is never spoken of logicism, always only of the set theory. Sets are genuine mathematical objects, and they are not reducible to others (logic: classes). The concept of sets is an essential tool for the unification of mathematics.
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I 308/309
Set theory: as a fundamental discipline of mathematics: basic concepts such as relation and function are traced back to the concept of the set, by explicit definition.
Relation functions as a symmetrical or asymmetrical pairing for a two-digit relation. Sometimes we need means to express the order. Ordered pairs. Definition I 310.
Functions: definition: legally unambiguous relations. I 310.
Bourbaki, N.
T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


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Ed. Martin Schulz, access date 2017-04-24