The 2nd printing (of the paperback edition) contains new material on a) how the use of numbers to measure magnitudes differs from their use in counting multitudes (pp 156-159) and b) how the use of open sets in topology relates to the epsilon-delta approach to limits (see discussion, pp 340-344)
Is there a way for those of us who have the first edition, get the added information in the second?
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Are you still actively discussing/commenting here? I just ran across this material.
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I still take comments and try to monitor.
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On page 178 of the first edition You write:
Near the end of the previous century, with amazing timing, Kant had enshrined space as the form of perception, as a prior (a priori?), as the “form of all appearance of out sense.” But, unbeknownst to Kant, the scientific basis for any such claim had already collapsed.
But then move on. What was the scientific discovery, or contradiction, that rendered Kant’s claim untenable?
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Non-Euclidean geometry
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Ok, I thought that “scientific” referred to some kind of physical “space-time” discovery. Thanks. The Non-Euclidean geometry is indicated in your book.
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