The Set-theoretic Multiverse as a Mathematical Plenitudinous Platonism Viewpoint( Infinity in Philosophy and Mathematics)
作者： Sakaé FUCHINO
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core.ac.uk 参考文章(6)
Donald A. Martin, Multiple Universes of Sets and Indeterminate Truth Values Topoi-an International Review of Philosophy. ,vol. 20, pp. 5- 16 ,(2001) , 10.1023/A:1010600724850
Joel DAVID HAMKINS, The Set-theoretic Multiverse : A Natural Context for Set Theory( Mathematical Logic and Its Applications) Annals of the Japan Association for Philosophy of Science. ,vol. 19, pp. 37- 55 ,(2011) , 10.4288/JAFPOS.19.0_37
Tatiana Arrigoni, Sy-David Friedman, Foundational implications of the Inner Model Hypothesis Annals of Pure and Applied Logic. ,vol. 163, pp. 1360- 1366 ,(2012) , 10.1016/J.APAL.2012.01.009
Franklin D. Tall, PFA(S)(S): more mutually consistent topological consequences of PFA and V = L Canadian Journal of Mathematics. ,vol. 64, pp. 1182- 1200 ,(2012) , 10.4153/CJM-2012-010-0
Mark Balaguer, John P. Burgess, Platonism and anti-Platonism in mathematics ,(1998)
Peter Koellner, Truth in Mathematics: The Question of Pluralism New Waves in Philosophy of Mathematics. pp. 80- 116 ,(2009) , 10.1057/9780230245198_5