A Thomistic Modal Ontological Argument

 ...a thomistic argument for a prime cause...john konnor...


1)  if it is possible there exists an x and x is a prime cause then it is possible there exists an x x is unactualizable and x is a prime cause


2) it is possible there exists an x and x is a prime cause


3) for all x and for all € if it is possible x is unactualizable and is a prime cause then it is possibly necessary x is Pure act by nature


4) for all x and for all € if  necessarily x is Pure act by nature then x exists


C) God exists


Let:


Ux= x is unactualizable

~~◇E!x= x's existence is not impossible

€= is a nature

◇□p⊃□p   (TK)


g=(ix)(∃!x)(∀€) [(€=A) ∧ Ax]


1)◇(∃x)Px⊃◇(∃x )Ux∧Px                   p

2)◇(∃x)Px                                       p

3)(∀x)(∀€) ◇(Ux∧Px) ⊃◇□[(€=A) ∧ Ax]    p

4)(∀x)(∀€)□[(€=A) ∧ Ax]⊃E!x     p

5) ◇(∃x )Ux ∧ Px                            (1,2 MP)

6) (∃x )◇(Ux ∧ Px )                      (5 Barcan)

7)◇(Ug ∧ Pg)                                    (6 EI)

8)◇(Ug∧ Pg)   ⊃◇□[(€=A) ∧ Ag]                ( 3 UI)

9)◇□ [(€=A) ∧ Ag]                        (7,8 MP)

10)◇□ [(€=A) ∧ Ag] ⊃□ [(€=A) ∧ Ag] (TK)

10)□[(€=A) ∧ Ag]                              (9,10 MP)

11) □[(€=A) ∧ Ag]⊃E!g                    (4 UI)

12)E!g                                                     (10,11 MP)

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