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Structural set theory

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In mathematics, structural set theory is an approach to set theory that emphasizes the aspect of sets as abstract structures. It is in contrast to a more traditional ZFC set-theory, which emphasizes membership. A prime example is Lawvere's Elementary Theory of the Category of Sets, which identifies sets in terms of relations to each other through functions.

References

  • Shulman, Michael (1 April 2019). "Comparing material and structural set theories". Annals of Pure and Applied Logic. 170 (4): 465–504. doi:10.1016/j.apal.2018.11.002. ISSN 0168-0072.

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