A New Philosophical Explanation of Set-theoretical Paradoxes
According to ZFC,there is no Cantor's set and Russel's set.The Minimal Explanation explains this by appealing to some paradoxes or contradictions.Its main problem is to use some external consequences or effects to explain the cause.A good explanation should be an internal explanation appealing to some internal defects of such"sets".The research founds that each entity must have determinateness and bivalence,and they cannot depend circularly upon themselves;if Cantor's set and Russell's set are sets,then their determinateness and bivalence will depend circularly upon themselves,and thus cannot be entities or sets.This approach can also solve Burali-Forti's and Mirimanoffs Paradoxes,and has various merits comparing with the three main approaches.
Cantor's ParadoxRussell's Paradoxuniverse of setsdeterminatenessbivalence
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