These propositions continue to work through the mind of God as opposed to the axioms which focus on the mind of humans. Here Spinoza seems to create arguments similar to those which established one God because only one substance exists. Spinoza argues that only one mind of God exists because only it comprehends all that exists.
It is relevant to consider within this uniqueness is God as Knowing as opposed to thinking thing. Thinking thing is a function of modes while God as Knowing is substance.Idea Dei ex qua infinita infinitis modis sequuntur, unica tantum esse potest.
Translated as,
The idea of God from which infinite things follow by infinite modes is able to be to such a degree unique.
Demonstratio: Intellectus infinitus nihil præter Dei attributa ejusque affectiones comprehendit (per propositionem 30 partis I). Atqui Deus est unicus (per corollarium I propositionis 14 partis I). Ergo idea Dei ex qua infinita infinitis modis sequuntur, unica tantum esse potest. Q.E.D.
Translated as,
The infinite understanding comprehends nothing besides the attributes of God and its modifications (by IP30). And God is unique (by IP14C). Therefore the idea of God from which infinite things follow by infinite modes is able to be to such a degree unique.
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