The concept of a set Export

@article{citeulike:4505979, abstract = {Metaphysical interpretations of set theory are either inconsistent or incoherent. The uses of sets in mathematics actually involve three distinct kinds of collections (surveyable, definite, and heuristic), which are governed by three different kinds of logic (classical, intuitionistic, and minimal). A foundational system incorporating this analysis and based on the principles of mathematical conceptualism accords better with actual mathematical practice than Zermelo-Fraenkel set theory does.}, archivePrefix = {arXiv}, author = {Weaver, Nik}, citeulike-article-id = {4505979}, citeulike-linkout-0 = {http://arxiv.org/abs/0905.1677}, citeulike-linkout-1 = {http://arxiv.org/pdf/0905.1677}, day = {11}, eprint = {0905.1677}, keywords = {article, set, settheory}, month = {May}, posted-at = {2009-05-12 21:18:59}, priority = {2}, title = {The concept of a set}, url = {http://arxiv.org/abs/0905.1677}, year = {2009} }

TY - JOUR ID - citeulike:4505979 L3 - citeulike-article-id:4505979 N2 - Metaphysical interpretations of set theory are either inconsistent or incoherent. The uses of sets in mathematics actually involve three distinct kinds of collections (surveyable, definite, and heuristic), which are governed by three different kinds of logic (classical, intuitionistic, and minimal). A foundational system incorporating this analysis and based on the principles of mathematical conceptualism accords better with actual mathematical practice than Zermelo-Fraenkel set theory does. TI - The concept of a set KW - article KW - set KW - settheory AU - Weaver, Nik PY - 2009/May/11/ UR - http://arxiv.org/abs/0905.1677 ER -