1.Kant held a middle ground between rationalism and empiricism. Describe what that middle-ground position is and whether you think his position is preferable to that of either the rationalists or the empiricists. 2.Philosophers commonly claim that mathematical statements such as “5 plus 7 equals 12” are “analytical a priori,” that is, true by definition and known without experience. Kant, though, argued that mathematical statements are “synthetic a priori,” that is, non-experiential knowledge that is not true by definition. Explain the difference between synthetic a priori and analytical a priori, and which of these you think mathematical statements fall under. 3.Explain Kant’s “forms of intuition” and “categories of thought” and how they spontaneously organize data from experience. 4.Explain Kant’s distinction between the phenomenal and the noumenal realms. 5.There is a skeptical way of looking at Kant’s philosophy: our knowledge is trapped within the phenomenal realm and how our mind organizes experiences through “forms of intuition” and “categories of thought.” But these are only products of our mind, sort of like secondary qualities, and may not resemble actual objects in the noumenal world at all. How might Kant respond to this criticism?