Modal Ontological Argument

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


1) it is not the case that it is necessarily possible God exists and it is necessarily not possible that God exists.  ( Premise)


2) it is necessarily possible God exists ( Premise)


3) if it is not the case that God exists then it is not possibly possible the case that God exists ( Premise)


C) God exists


Let:


G!= God exists


Proof:


1)~(□◇G!∧□~◇G!).          Premise

2)□◇G!                                Premise

3)~G!⊃~◇◇G!                    Premise/ G!

4)~□◇G!∨~□~◇G!           1 DeMorgans

5)□◇G!⊃ ~□~◇G!             4 M. Implication

6)□~◇G!⊃ ~□◇G!             5 Contra, DN

7)~◇~~◇G!⊃~~◇~◇G!    6 ME

8)~◇◇G!⊃◇~◇G!               7 DN

9)◇◇G!∨◇~◇G!                  8 M. Implication, DN

10)~◇~◇G!                          2 ME

11)◇◇G!                                (9,10 DS)

12)◇◇G! ⊃G!                        (3 Contra., DN)

13)G!                                      (11,12 MP)

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