** A Sketch of Spinoza's Argument for Substance Monism **
D3 + D4 + D5 + A1 D3 + D5
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D3 A4 + A5 D4 + P4 + P1
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P2 + P3 + P5
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P6 D3 + D4 + D5 + A1 D3 + D5
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P6c + D1 D4 + P4 + P1
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A7 + P7 |
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D6 + P11 + P5
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P14
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DICTIONARY:
D1: "Self-caused" =df that whose essence implies existence.
D3: "Substance" =df what is in-itself and conceived through itself.
D4: "Attribute" =df the essence of substance.
D5: "Mode" =df a state of substance.
D6: "God" =df absolutely infinite substance, etc.
A1: Everything is either in-itself or in-another.
A7: If something, x, can be conceived not to exist, then the essence
of x does not ential the existence of x.
P1: Substance is logically prior to its modes.
P2: Two substances with distinct attributes have nothing in common.
P3: Unless two things have something in common, neither can cause
the other.
P4: Two substances can be distinguished only by their attributes
or modes (indistingushables are identical).
P5: Substances can't share attributes.
P6: One substance can't produce another.
P6c: No substance can be produced by another.
P7: The essence of a substance entails its existence.
P11: God necessarily exists.
P14: Except for God, no substance can be or be conceived.