%0 Journal Article %1 shulman2008theory %A Shulman, Michael A. %D 2008 %K category-theory mathematics sets %T Set theory for category theory %U http://arxiv.org/abs/0810.1279 %X Questions of set-theoretic size play an essential role in category theory, especially the distinction between sets and proper classes (or small sets and large sets). There are many different ways to formalize this, and which choice is made can have noticeable effects on what categorical constructions are permissible. In this expository paper we summarize and compare a number of such "set-theoretic foundations for category theory," and describe their implications for the everyday use of category theory. We assume the reader has some basic knowledge of category theory, but little or no prior experience with formal logic or set theory.

@article{shulman2008theory, abstract = {Questions of set-theoretic size play an essential role in category theory, especially the distinction between sets and proper classes (or small sets and large sets). There are many different ways to formalize this, and which choice is made can have noticeable effects on what categorical constructions are permissible. In this expository paper we summarize and compare a number of such "set-theoretic foundations for category theory," and describe their implications for the everyday use of category theory. We assume the reader has some basic knowledge of category theory, but little or no prior experience with formal logic or set theory.}, added-at = {2020-01-13T16:31:16.000+0100}, author = {Shulman, Michael A.}, biburl = {https://www.bibsonomy.org/bibtex/2f1d1b90b2d069309c37975217235a0ac/kirk86}, description = {[0810.1279] Set theory for category theory}, interhash = {55dcc23efa0f3ed9c316abce76f671cb}, intrahash = {f1d1b90b2d069309c37975217235a0ac}, keywords = {category-theory mathematics sets}, note = {cite arxiv:0810.1279}, timestamp = {2020-01-13T16:31:16.000+0100}, title = {Set theory for category theory}, url = {http://arxiv.org/abs/0810.1279}, year = 2008 }