A note on the decidability of de Finetti's coherence

To check the de Finetti coherence of a putative probability assigned to a classA of events, we must know the possible combinations of truth values (constituents) of any finite class of events inA. Even for a very simple, finite,A this can be impossible. In this case the notion of DF coherence cannot be applied to some or all the putative probabilities on this class of events.     

数学中真的存在危机吗？——普特南数学哲学解读

以批判数学存在基础的各种哲学学派为逻辑起点,普特南围绕数学基础中出现危机的根源进行了深刻剖析,重解了数学上存在不可判定性命题的意义及二律背反的意义,从而得出了数学中不存在危机的结论.虽然这个结论对于数学基础问题的解决并没有实质性的突破,然而,普特南独特的视角为人们的深入探讨提供了有益的启示,为数学哲学的研究带来一股清风.