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Routledge History of Philosophy Volume IV

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RENAISSANCE AND SEVENTEENTH-CENTURY RATIONALISM 379<br />

fact that our minds are substances. Leibniz seems to have been pleased with this<br />

theory, and it inspires some <strong>of</strong> his best-known remarks about innate ideas; it<br />

underlies such claims as ‘We are innate to ourselves’ and ‘There is nothing in the<br />

intellect which was not previously in the senses, except the intellect itself’. 105<br />

None the less, for all Leibniz’s evident pride in the doctrine, it does not seem<br />

very satisfactory. For one thing, on this account ideas turn out to be innate only<br />

in the minimal sense that they are not acquired through the senses. Moreover, the<br />

theory faces obvious difficulties in explaining our acquisition <strong>of</strong> mathematical<br />

concepts, and these are generally numbered among the explananda for any<br />

theory <strong>of</strong> innate ideas. We may perhaps acquire the idea <strong>of</strong> substance by<br />

reflecting on the fact that our minds are substances, but we can hardly acquire<br />

the concept <strong>of</strong> a triangle by reflecting on the fact that our minds are triangular.<br />

So far we have been chiefly concerned with Leibniz’s defence <strong>of</strong> a theory <strong>of</strong><br />

innate ideas against the Lockean objection that it must reduce to triviality. But<br />

what positive arguments does Leibniz <strong>of</strong>fer in favour <strong>of</strong> the innatist doctrine? In<br />

the New Essays Leibniz is much more forthcoming on this score in connection<br />

with innate propositions than with innate concepts. In part this fact reflects the<br />

emphasis <strong>of</strong> Locke’s own discussion, but it also testifies to Leibniz’s concern<br />

with a problem which has exercised philosophers at least since Plato: this is the<br />

problem <strong>of</strong> explaining how we can have a priori knowledge <strong>of</strong> necessary truths,<br />

as we do in the case <strong>of</strong> mathematics. Leibniz follows the Platonic tradition by<br />

arguing that it is impossible to explain such knowledge except on the assumption<br />

that it is innate in our minds. 106 Through the senses, for example, we may perhaps<br />

come to believe that the Pythagorean theorem is true <strong>of</strong> all observed right-angled<br />

triangles, but we would never come to believe that this theorem expresses a<br />

necessary truth about such triangles.<br />

Leibniz’s case for innate knowledge has a distinguished ancestry, but it seems<br />

to be in danger <strong>of</strong> running together two separate issues. 107 In the first place, there<br />

is a causal question: how do we acquire beliefs to the effect that necessarily p?<br />

Second, there is a question <strong>of</strong> justification: how do we justify our claim to know<br />

that necessarily p? Leibniz sometimes seems to say that both questions can be<br />

answered in terms <strong>of</strong> an appeal to innateness, but this claim is distinctly dubious.<br />

The hypothesis <strong>of</strong> innateness may be a plausible answer to the first question, but<br />

it is more difficult to see how it helps with the second, normative issue; on the<br />

face <strong>of</strong> it, it seems entirely possible that our innate beliefs should all be false. It<br />

is true that the innatist hypothesis would help to answer the second question on<br />

the further assumption <strong>of</strong> divine benevolence; a good God can be trusted not to<br />

inscribe a pack <strong>of</strong> lies on our minds. Unlike Descartes, however, Leibniz is<br />

reluctant to appeal to divine benevolence in order to solve epistemological<br />

questions.<br />

Leibniz’s philosophy, and his metaphysics in particular, is an extraordinarily<br />

ambitious work <strong>of</strong> synthesis. His system seeks, for example, to combine<br />

Aristotelian and Cartesian insights within a framework <strong>of</strong> Christian theology.<br />

Sometimes Leibniz’s attempts at synthesis seem overambitious and even

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