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

by George Jelliss , Crewe, Sunday, February 14, 2010, 23:48 (5394 days ago) @ xeno6696

The Fibonacci sequence, and its variant the Lucas sequence, is essentially finite mathematics. Analysis only comes into it if you calculate the limit of the ratio of two successive numbers in the sequences, which is the golden ratio. All this means is that the successive ratios 3/2, 5/3, 8/5, 13/8 and so on are closer and closer approximations to the golden ratio, which is the irrational number (root-5 + 1)/2 = 1.61803.... Fibonacci ratios occur in nature in certain plants because of their regular process of growth. For me they have a greater "reality" than the golden ratio, which only has meaning in the fantasy world of infinitist mathematicians.-you wrote: "But the other two numbers found in nature I don't think can be as easily explained away as e or PI" which two numbers are you referring to? and why would I want to "explain them away"?

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GPJ