Spinoza in the first part of his book "Ethics in the order shown geometrically, presents first eight definitions, in which he says what he means by: own cause, finite , substance, attribute , way, God , free , eternity, then the definitions shows seven axioms, these axioms are self-evident, but, taking into account the above definitions, and finally writes thirty-six proposals with their respective shows, making this claim for the axioms and definitions first.
And it tells us that:
Whatever is, is God, anyway (so are the conditions of a substance, what is something else, through which is also designed) are ways of being in God, natural things are ways of being in God.
God is a substance (meaning what substance is in itself and is conceived through itself) infinite has infinite attributes (attributes is what the understanding perceives a substance as constituting the essence of it), but does not exist because there is an attribute, but there it is a substance.
God is free (free is something that exists by virtue of the mere necessity of its nature and determined to act alone), he is not forced to act, but acts on the sole necessity of his nature , has no will, therefore things that appear to follow necessarily from the need of God and not his will.
Spinoza denies the possibility of chance and contingency.
God necessarily exists and we need the being of God to exist.
For Spinoza God is more than a set of propositions, is more than a set of theorems, is more than an idea. God is present to the understanding, is present in things, in nature.
Spinoza is exploiting the structure of mathematics, this is the instrument used to account for these principles, principles that will then determine human action.
Ultimately what you are doing is a metaphysics that will serve to make clear what that means everything, and thus then understand the ethics, ethics understood as the geometric order, as well as the name says of his work.
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