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The goal of Kant's "Refutation of Idealism" is to show that his view is significantly different from Berkeley's view. Berkeley's view is a version of what Kant calls "material idealism", and Kant's view is "transcendental idealism".

B275-6 "Thesis of the refutation of idealism:

The mere, but empirically determined, consciousness of my own existence proves the existence of objects in space outside me.

Proof:

The Distinction of all objects in general into phenomena and noumena:

The Cold Comfort Objection: Kant shows us (at best, assuming that all of his arguments succeed) that we know how things seem to us but not how things really are. That is cold comfort at best. To really answer the Humean skeptic, one has to show us that we know things as they really are, not just how they seem.