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E1P11D

Demonstration of Proposition 11 — Part I

English (Elwes 1883)also show

Latin

Si negas, concipe si fieri potest, Deum non existere. Ergo (per axioma 7) ejus essentia non involvit existentiam. Atqui hoc (per propositionem 7) est absurdum : ergo Deus necessario existit. Q.E.D.

English (Elwes 1883)

If this be denied, conceive, if possible, that God does not exist: then his essence does not involve existence. But this (Prop. vii.) is absurd. Therefore God necessarily exists.

Modern English

Suppose, for the sake of argument, that God does not exist. Then his essence does not involve existence (E1A7). But that is absurd (E1P7). Therefore God necessarily exists. Q.E.D.

Depends on (2)

Propositions

Axioms