Infinite things follow from divine nature
Formal Statement
From the necessity of the divine nature, an infinite number of things must follow in infinite ways — that is, everything that can fall within the sphere of infinite intellect. Just as the properties of a triangle follow necessarily from its definition, so all things follow from the definition of absolutely infinite substance, only infinitely more so.
In Plain Language
God does not choose to create the world the way a craftsman chooses a design. Things follow from God's nature the way theorems follow from definitions — with absolute necessity. This is Spinoza's most radical break with traditional theology: God is not a will that deliberates and decides. God is a nature from which everything flows as a logical consequence. The world is not a contingent product of divine choice; it is the necessary expression of divine essence. This is God as productive nature (Natura naturans), not as artifact-maker.
Why This Follows
God is absolutely infinite substance with infinite attributes (gs-04), and God necessarily exists (gs-12). A definition with more reality yields more properties. God's definition involves maximal reality, so infinitely many things follow from it — not by choice but by necessity, just as geometric properties follow from a figure's definition.
God/Nature is productive necessity — everything follows from the divine nature as properties follow from a definition.
Connected Concepts
If everything follows necessarily from God's nature, is there room for genuine novelty or contingency in the world?