Modal Ontological Argument

 ...modal ontological argument...John konnor...


1) it is not the case that it is possibly not the case God exists and possibly the case God exists


2) God exists is possibly the case


C) God necessarily exists


Let:


G!= God exists


Proof:


1)~(◇~G!∧◇G!)

2)◇G!

3)~◇~G!∨~◇G!      1,DeM.

4)~◇G!∨~◇~G.       3,Comm.

5)◇G!⊃~◇~G.          4,M.Impl, DN.

6)◇G!⊃□G!                5,ME.

7)□G!                          2,6 MP

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