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God/Nature → Substance

Start with Spinoza's most radical claim: God and Nature are the same thing. Walk through the foundations of his metaphysics — substance, attributes, and modes — and see how everything follows from one infinite reality.

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Steps

Setup

  1. Definition

    Substance

    Substance is whatever exists in itself and is conceived through itself.

  2. Definition

    Attribute

    An attribute is what the intellect perceives as constituting the essence of substance.

  3. Definition

    Mode

    A mode is whatever exists in, and is conceived through, something other than itself.

  4. Definition

    God

    God is absolutely infinite substance, consisting of infinite attributes each expressing eternal and infinite essence.

  5. Axiom

    In-itself / in-another split

    Everything that exists is either substance (in itself) or mode (in another) — there is no third category.

Demonstration

  1. Proposition

    Substance is prior to its modifications

    Substance comes first in the order of being and understanding; modes depend on it, not vice versa.

  2. Proposition

    No two substances can share an attribute

    Within any given attribute, there can be at most one substance.

  3. Proposition

    One substance cannot be produced by another

    Substance cannot be produced by anything external to itself; it must be self-caused.

  4. Proposition

    Existence belongs to the nature of substance

    Substance exists necessarily; its essence involves existence.

  5. Proposition

    Every substance is necessarily infinite

    Every substance is necessarily infinite — finite substance is impossible.

  6. Proposition

    Each attribute is conceived through itself

    Attributes are conceptually independent of one another, even though they all belong to one substance.

Consequence

  1. Proposition

    God necessarily exists

    God — absolutely infinite substance — necessarily exists.

  2. Proposition

    Besides God no substance can be conceived

    There is exactly one substance in nature: God.

  3. Proposition

    Whatever is, is in God

    All beings are either God (substance) or modes of God — nothing exists outside God.

  4. Proposition

    Infinite things follow from divine nature

    God/Nature is productive necessity — everything follows from the divine nature as properties follow from a definition.

  5. Proposition

    Individual things are modifications of God's attributes

    Every individual thing is a determinate mode of one of God's attributes.

Recap

  1. Recap

    Thought and Extension are attributes we know

    Thought and Extension are two known attributes of the one substance — conceptually independent but ontologically identical.

Concepts covered

You now understand Spinoza's metaphysical foundation: one substance, infinite attributes, and everything as a mode. This is the ground floor for everything else in the Ethics.