What do you make of empiricism's claim that all of our knowledge is based on the use of our senses? What areas of knowledge do you think support this theory? Are there any types of knowledge (mathematical knowledge, for example?) that you think are a problem for this theory?

I disagree with the claim that all of our knowledge is based on the use of our senses. I mean senses are really how we acquire useful verifiable knowledge. This would be great to describe knowledge based on experience. To me it falls apart when you are trying to use it to explain math. Math is facts 2 plus 2 is 4 everywhere. I also discussed this briefly in my pervious post. Check it out.