The MacLane problem on set-theoretical foundations for the category theory (Q1592189)
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scientific article; zbMATH DE number 1551876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The MacLane problem on set-theoretical foundations for the category theory |
scientific article; zbMATH DE number 1551876 |
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The MacLane problem on set-theoretical foundations for the category theory (English)
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17 January 2001
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This paper, a translation from the original Russian [in: Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh. Temat. Obz. 63 (1999)], addresses the problem of devising set-theoretic axioms sufficient for treating naive category theory (including such questionable constructions as functor categories, etc.). The authors review and critique many of the approaches to solving MacLane's problem; and propose one of their own, based on a ``multi-rank theory of classes and sets''.
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axiomatic set theory
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multi-rank theory of classes and sets
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naive category theory
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functor categories
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MacLane's problem
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