By Sigurd Arild
According to Hume, there are two kinds of propositions: Relations between ideas and matters of fact.
Relations between ideas are simple and can, given the scarcest of knowledge, be proven without having to rely on personal experience or outside observation. For example, five plus seven will always equal 12, and in theory you could figure that out in your mind, even if you only had knowledge of smaller numbers and their operations. Out of 2 + 2 = 4 you could in principle deduce that 5 + 7 = 12, using your intuition and the capacities of your own psyche, without having to check with the external world. ...
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