An Anselmian MOA

 ...Anselmian MOA...John Konnor...


1) it is necessarily possible God exists


2) necessarily( if God does not exist then necessarily God does not exist)


C) necessarily God exists


Let:


G!= God exists

□(p⊃q)⊃(◇p⊃◇q)  ( Theorem of K.)


Proof:


1)□◇G!

2)□(~G!⊃□G!)

3)□(~G!⊃□G!)⊃(◇~G⊃◇□~G!)   ( Theorem of K.)

4)◇~G⊃◇□~G!                              (2,3 MP)

5)~◇□~G!⊃~◇~G                         (4, Contra.)

6) ~◇~◇~~G!⊃~◇~G                   (5 ME)

7)□◇G!⊃□G!                                    (6 ME, DN)

8)□G!                                                (1,7 MP)

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