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Definition 2: Finite after its kind
Definition 3: Substance existing in and conceived through itself
Definition 4: Attribute as what intellect perceives as substance's essence
Definition 5: Mode modifies, exists in, and is conceived through substance
Definition 6: God is infinite, expresses infinite eternal essence
Definition 7: Freedom and necessity as independence and dependence
Definition 8: Eternity as self-existence
Part 1: Axioms
Axiom 1: Existence in self or something else
Axiom 2: Understand something through other things or itself alone
Axiom 4: Knowing the effect involves knowing the cause.
Axiom 5: Uncommon things do not involve each other.
Axiom 6: True ideas agree with what they are ideas-of.
Axiom 7: Things involving existence must be conceived as existing.
Part 1: Propositions
Proposition 1: Substance is prior to modes.
Proposition 2: Two substances with different attributes have nothing in common.
Proposition 3: Things with nothing in common cannot be cause of one another.
Proposition 5: There cannot be two or more substances sharing a common attribute
Proposition 6: Substances do not produce one another
Proposition 7: Substances by nature exist.
Proposition 8: Every substance is infinite.
Proposition 9: The greater something's reality, the greater its number of attributes.
Proposition 10: Each of the one substance's attributes must by conceived by itself.
Proposition 11: God exists and expresses infinite essence
Proposition 12: Substance is indivisible
Proposition 13: Absolutely infinite substance is indivisible
Proposition 14: There is but God
Proposition 15: All is in God, including Extension, all things are conceived through him
Proposition 18: God is the Immanent Cause of Everything
Proposition 25: God is the Cause of All Essences
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