Dude's a classical liberal. He only believes science from before the civil war.
Leibniz believed that the understanding contains within itself certain innate principles, which it knows intuitively to be true, and which form the axioms from which a complete description of the world can be derived. From Kant, R. Scruton p. 21. Comments @SamHarrisOrg?
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As far as completeness is concerned, yes. Any set of axioms robust enough to generate arithmetic will result in statements that are true but unprovable from said axioms. That doesn't mean that the axiomatic approach is ineffective.
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Between Jordan and Sam, which one is the realist?
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Did Leibniz have a view on how those principles came to be there?
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TL;DR: The truth is whatever you believe it is.
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