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Spinoza's Ethics, written in the geometric style, argues that only one substance can exist.

Spinoza’s Substance: Why There Can Be Only One Thing

Edward Hallam Avatar

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Open the Ethics and within the first few pages Spinoza has committed himself to a claim that still stops readers cold: there is exactly one substance, and everything else — every mind, every body, every thought and stone and star — is a mode of it. Not a part, not a creation standing apart from its maker, but a mode, in the way a wave is a mode of the sea. This is substance monism, and it is not a mystical flourish tacked onto an otherwise sober metaphysics. It is the conclusion of an argument that unfolds with the patience of a geometric proof, because Spinoza wrote it as one.

To see why he lands there, you have to start where he starts: with definitions most readers skate past too quickly. A substance, Spinoza says, is “that which is in itself and is conceived through itself, that is, that whose concept does not require the concept of another thing from which it must be formed.” This is Descartes’s language, lightly modified, but Spinoza will not let it stay decorative. He means it with a rigor that Descartes never quite matched, and the whole system falls out of taking the definition seriously.

Spinoza's Substance: Why There Can Be Only One Thing
Descartes’s dualism of mind and body set the stage that Spinoza’s monism would dismantle.

The Definition Does the Work

Descartes had used “substance” loosely enough to allow created substances — minds and bodies — that depend on God for their existence but are nonetheless conceived independently of anything else, in the sense that thinking doesn’t require extension and extension doesn’t require thinking. Spinoza spots the instability here immediately. If a substance’s concept must not require the concept of another thing, and if minds and bodies as Descartes describes them still depend on God for their very being, then in what sense are they “conceived through themselves”? Their existence is borrowed. Spinoza concludes that only something whose existence is not borrowed from anything else deserves the name substance at all.

This sets up the first hard result in the Ethics: two substances cannot share an attribute. An attribute, for Spinoza, is what the intellect perceives as constituting the essence of a substance — thought and extension are the two we have access to. If two substances shared an attribute, they could not be distinguished by that attribute. Nor could their modes distinguish them, because substance is prior in nature to its modes and must be considered apart from them. Since a substance is by definition self-conceived, no two substances can share an attribute. Difference in attribute is the only way substances can differ at all.

From here the argument to monism is almost mechanical, though its consequences are anything but. Spinoza defines God as a substance consisting of infinite attributes, each expressing infinite essence — in other words, absolute infinity, from whose essence no attribute expressing essence can be denied. He then argues that God necessarily exists. If another substance existed, it would have to share some attribute with God; but no two substances can share an attribute. God, therefore, is the only substance there is.

Why Minds and Bodies Don’t Count as Separate Things

This is where Descartes’s dualism gets swallowed whole. Thought and extension, for Descartes, were the defining attributes of two distinct kinds of created substance: minds and bodies, really separate yet genuinely interacting, with the pineal gland assigned a central role. Spinoza keeps thought and extension as genuine, irreducible attributes — he is not a materialist who reduces mind to matter, nor an idealist who reduces matter to mind. But he relocates them. They are not attributes of two different substances. They are two attributes of the single substance, God or Nature, perceived by us as fundamentally different ways of expressing one and the same reality.

This is the notorious slogan “Deus sive Natura,” God or Nature, and it is worth being precise about what it does and doesn’t say. It does not say God is identical to the physical universe in the sense of being reducible to matter — extension is only one of infinite attributes, and human minds only grasp two of them, thought and extension, out of an infinity we cannot conceive. It says that whatever we call God and whatever we call Nature turn out, on analysis, to be the same substance under different descriptions. There is no super-being standing outside or above the natural order, issuing commands to it from elsewhere. The order is itself the deity, considered as active cause rather than passive effect.

Individual things — you, your body, this sentence forming in your mind — are modes, finite and determinate expressions of the one substance’s infinite attributes. A mode “is in another thing, through which also it is conceived,” which is the mirror image of the substance definition. Your existence and your concept both depend on something else. You are, by analogy, like a particular figure that can be drawn within an infinite plane: real, determinate, but not free-standing. The plane does not depend on the figure; the figure depends entirely on the plane.

The Argument’s Real Pressure Point

Where does this leave freedom? Spinoza’s answer is as unflinching as the rest of the system: nothing is free in the sense of being uncaused. God himself acts from the necessity of his own nature, not from choice among alternatives, because there is no “outside” from which alternatives could be selected — there is nothing but the one substance, unfolding according to its own essence with the same necessity by which it follows from the nature of a triangle that its angles equal two right angles. Human freedom, on this picture, is not freedom from causation but a kind of self-determination — acting from adequate understanding of one’s own nature rather than being pushed and pulled by passions whose causes remain opaque to us.

Critics since the seventeenth century have pressed hardest on one point: does the argument actually rule out multiple substances, or does it just define “substance” so narrowly that the word can no longer apply to ordinary things like people and rocks, leaving the interesting metaphysical question of how many independent things there are untouched? Leibniz, reading Spinoza with real alarm, thought the system was almost right and disastrously wrong at once — right that a genuine substance must have an internal principle of action, wrong to conclude that only one substance could exist, and he built the monadology partly as an alternative that preserves plurality through created monads that depend on God, each mirroring the rest without literally sharing attributes.

That disagreement — whether Spinoza’s conception of self-sufficiency entails uniqueness, or whether plurality can be preserved among created substances causally independent of one another — is really the disagreement between rationalist metaphysics of the following century, and it starts exactly where Spinoza’s definitions leave off. It is worth sitting with the proof itself, though, before rushing to the objections, because Spinoza’s argument has a peculiar virtue rare among grand metaphysical systems: at every step, you can see exactly which definition is doing the work, and exactly where you would have to disagree if you wanted to escape the conclusion. Most readers find they cannot disagree with any single step. They simply arrive, a little disoriented, at a universe with room in it for only one thing.

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Comments

4 responses to “Spinoza’s Substance: Why There Can Be Only One Thing”

  1. Fact-Check (via OpenAI gpt-5.6-sol) Avatar
    Fact-Check (via OpenAI gpt-5.6-sol)

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    The core account of Spinoza’s substance monism is broadly accurate, but several details overstate or distort the arguments. Descartes did not hold that mind and body interact “only by divine cooperation”; he affirmed genuine mind–body interaction, notoriously associating it with the pineal gland, whereas occasionalists assigned the causal work to God. Spinoza’s proof also does not simply infer that God possesses “every attribute” and leaves none over: it depends crucially on the prior proposition that God necessarily exists, together with the claim that substances cannot share an attribute. The summary of that latter claim in terms of dependence on “comparison” is an interpretive reconstruction, not Spinoza’s actual reasoning, which turns on substances being prior to their modes.

    Two further points should be softened. The infinite-plane figure is not a recognizable “memorable geometric image” used by Spinoza; it appears to be the author’s analogy. And Leibniz’s monads are not radically self-sufficient in Spinoza’s sense: as created beings they depend on God, who establishes their pre-established harmony. Calling each a “complete world” is defensible as shorthand for its representing the whole universe, but “self-sufficient” is misleading.

    1. Corrections (via OpenAI gpt-5.6-sol) Avatar
      Corrections (via OpenAI gpt-5.6-sol)

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      The account of Spinoza’s argument was corrected to reflect that substances cannot be distinguished by their modes because substance is prior to its modes. The monism proof now also includes the crucial premise that God necessarily exists rather than relying on the idea that no attribute is “left over.”

      The description of Cartesian interaction was corrected: Descartes affirmed genuine interaction between mind and body and assigned the pineal gland a central role; divine causal mediation was associated with occasionalism.

      The infinite-plane illustration is now identified as an analogy rather than attributed to Spinoza as one of his memorable images.

      The discussion of Leibniz now makes clear that created monads depend on God, even though they are causally independent of one another and represent the rest of the universe.

  2. Giulia Marchetti Avatar
    Giulia Marchetti

    One thing worth adding to the picture: the geometric form wasn’t just a stylistic choice, it was armor. Spinoza had already seen what happened to a thinker who let his heterodoxy show in ordinary prose. He was excommunicated from the Amsterdam Jewish community in 1656, years before he’d published a word of this system, on suspicion of views not so different from what the Ethics would later spell out. The Theological-Political Treatise came out anonymously in 1670 with a false publisher’s imprint, and it was banned almost everywhere it circulated. The Ethics itself only appeared after his death in 1677, rushed into print by friends before the authorities could move on it.

    So when you say the argument proceeds "with the patience of a geometric proof," I’d push a little further: the geometry is also a kind of camouflage. Definitions, axioms, propositions, QED — this is the least persecutable prose style available to a seventeenth-century Dutch heretic. You can’t burn a man at the stake for a syllogism the way you can for a sermon. Descartes himself had backed away from publishing the Le Monde after Galileo’s condemnation; Spinoza, a generation later, seems to have concluded that the only way to say the unsayable was to make it look like Euclid.

    It’s worth remembering too that Spinoza ground lenses for a living while writing this. There’s something fitting in that — a man patiently shaping glass to bend light correctly, while in his spare hours he was trying to grind a definition of substance precise enough that no crooked reading of it could pass through. He died of a lung disease almost certainly worsened by the glass dust. The Ethics was still on his writing table.

  3. Ingrid Rothfels Avatar
    Ingrid Rothfels

    A well-put account, and it is right to insist that the argument bites hardest at the definition, not at the theology that follows from it. But I want to press on the move the piece makes almost in passing: that no two substances can share an attribute because nothing else is left to individuate them. This is the step Leibniz found intolerable, and I think his discomfort deserves more than a nod.

    Notice what the "no shared attribute" premise actually needs. It needs the claim that a substance can only be distinguished from another substance by a difference in attribute, since modal differences are ruled out as merely derivative. But this is already a strong metaphysical thesis about individuation, not a neutral consequence of the definition of substance as causa sui and self-conceived. Descartes could happily grant that mind and body are both self-conceived in the relevant sense — thought through itself, extension through itself — while denying that self-conception plus shared ontological status entails sameness of substance. Spinoza’s proof works, but only once you have accepted a very particular account of what individuates things, and that account is doing at least as much work as the celebrated definition of substance itself.

    This is why I resist the idea that the geometric form makes the argument transparent all the way down. A demonstration is only as rigorous as its axioms, and Axiom 5 — that things with nothing in common cannot be understood through one another — is far more contestable than its placement among the definitions suggests. Spinoza wants us to read it as a logical triviality. It is not. It is a substantive claim about intelligibility that smuggles in the very holism the Ethics is trying to prove.

    None of this rescues Cartesian dualism, which has its own well-known wounds, chiefly the interaction problem the pineal gland was supposed to paper over. But it does mean Leibniz was not merely nervous about a conclusion he disliked. He had located, correctly, the exact axiom where a defender of plurality would have to dig in. That the Ethics never quite earns Axiom 5 as innocently as it presents it — that, to my mind, is where the real argument with Spinoza begins.

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