Modal Platonism utilizes "weak" logical possibility, such that it is logically possible there are abstract entities, and logically possible there are none. Modal Platonism also utilizes a non-indexical actuality operator. Modal Platonism is the EASY WAY, neither reductionist nor eliminativist, but embracing the Platonistic language of abstract entities while eliminating ontological commitment to them. Statement of Modal Platonism. Any consistent statement B ontologically committed to abstract entities may be replaced by an empirically equivalent modalization, MOD(B), not so ontologically committed. This (...) equivalence is provable using Modal/Actuality Logic S5@. Let MAX be a strong set theory with individuals. Then the following Schematic Bombshell Result (SBR) can be shown: MAX logically yields [T is true if and only if MOD(T) is true], for scientific theories T. The proof utilizes Stephen Neale's clever model-theoretic interpretation of Quantified Lewis S5, which I extend to S5@. (shrink)

In spite of the work of Gödel and Cohen, which showed the undecidability of the Generalized Continuum Hypothesis from the axioms of set theory, the problem still remains to decide GCH on the basis of new axioms. It is almost 100 years since Cantor first conjectured the Continuum Hypothesis, yet we seem to be no closer to determining its truth. Nevertheless, it is a sound methodological principle that given any undecidable set-theoretical statement, we should search for “other axioms of set (...) theory which a more profound understanding of the concepts underlying logic and mathematics would enable us to recognize as implied by these concepts”. (shrink)

. In this paper, I attempt to dissolve the theism/atheism boundary. In the first part, I consider last things, according to mainstream science. In the second part, I define the Natural God as the Force of Nature—evolving, unifying, maximizing—and consider Its relation to last things. Finally, I discuss our knowledge of the Natural God and Its relevance to our personal lives. I argue that we can know the Natural God through scientific reason combined with global intuition, and that this knowledge, (...) from the perspective of last things, may help us achieve universal love, ethical action, and personal salvation. (shrink)