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Foundation for category theory

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#logic #category-theory #foundations
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Books on the history of foundations of mathematics?

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#reference-request #self-learning #book-recommendation #math-history #foundations
341
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Can we modify ETCS to handle structures directly, as objects in their own right?

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#reference-request #category-theory #foundations
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Are there areas of mathematics (current or future) that cannot be formalized in set theory?

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#set-theory #philosophy #foundations
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When we say, "ZFC can found most of mathematics," what do we really mean?

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#logic #set-theory #foundations
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The definition of distance and how to prove the ruler postulate in Euclidean geometry

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#geometry #analytic-geometry #foundations
480
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Can Arithmetic recreate the transinfinite hierarchy of Set Theory?

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#logic #set-theory #foundations
524
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What do ultrafinitists think about Graham's number?

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#philosophy #foundations #constructive-mathematics #ultrafinitism
500
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Mathematical Limitations of Computer Experiments

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#dynamical-systems #computational-mathematics #philosophy #foundations
617
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Looking for an approach to mathematical notation wherein the universe is divided into disjoint worlds.

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#notation #foundations #type-theory
91
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Is there a systematic account of the number systems in the following 3x3 grid?

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#reference-request #category-theory #axioms #foundations
760
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Are the real numbers ever needed to prove a property of the natural numbers?

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#number-theory #logic #arithmetic #peano-axioms #foundations
361
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Is there a conceptual hierarchy in mathematics?

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#soft-question #definition #foundations
628
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Axiom of replacement examples

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#set-theory #axioms #foundations
167
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Is there a group that can act as a foundation of mathematics?

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#set-theory #axioms #foundations

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