Refutation of the \"Language-Only\" Interpretation of Math (The limitations of science)

by George Jelliss , Crewe, Sunday, February 14, 2010, 12:51 (5398 days ago) @ xeno6696

"Pure mathematics" is usually another name for the mathematics of real and complex numbers, otherwise known as "analysis", which involves infinity and limiting processes, like sums of infinite series. It is based on the same foundations as Euclidean Geometry.-You ask: How about e? -The function y = e(x) is the one whose rate of change at any point is equal to its magnitude at that point. That is dy/dx = y, and y = 1 when x = 0. This of course assumes continuous variation through real or complex values. It is thus obvious why such expressions often occur in natural processes.-In practice of course continuous variation does not occur. We tabulate values of y for distinct values of x and use finite processes to calculate them.-By the way, Scepticism, Cynicism and Stoicism are distinct philosophies, and my comments are nothing to do with Stenger. They are my own thoughts.

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GPJ