This lecture discusses key ideas from the 18th century philosopher Immanuel Kant's work, The Prolegomena to Any Future Metaphysics.

Specifically it focuses on his discussion in the Preamble on the peculiarities of all metaphysical knowledge, bearing upon the distinction he makes between analytic and synthetic judgements. Analytic judgements do not add anything to our knowledge or understanding, though they can help us to clarify concepts. Synthetic judgements do add something new to our cognitions, because the predicate is not entirely contained in the subject, and this is what allows us to make progress in sciences like mathematics and metaphysics

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