Sunday, August 2, 2009

Differential Recursion, Real Recursive Functions lead to Continuous Hierarchy

So, if you consider taking the time step in a recursive function to the smallest possible time, say dt, we get a smooth recursive function. This is "real recursive functions" or "differential recursion." I claim that if you apply this same technique to sets, you will get continuous hierarchy. What is the delta between sets? Reducing the delta between sets to something close to 0 will lead to continuous hierarchy.

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