characterize Kant's response to Hume's challenge to epistemology

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How would you characterize Kant's response to Hume's challenge to epistemology? What does this characterization say about the maturation of philosophical thought?
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<br>Thank you for your question.
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<br>First of all let's be clear what epistemology is: It is the branch oh philosophy that answers questions such as: do we, and how do we have knowledge of the external world, ourselves, and other things?
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<br>In effect, Kant's concern with sceptical doubts concerning our knowledge of the external world was prompted by the work of David Hume who had argued on empiricist grounds that ...