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Posted by Paul R. Martin on May 8, 2001 00:41:30 UTC

Hi Harv,

I'm still not fluent with all the 'isms', but I think you are right; I think I am an intuitionist. I intuitively feel that infinity is nonsense. The ubiquitous antinomies that rear their ugly heads as soon as you postulate 'infinity' reinforce my feelings.

>>>Intuitionism, I believe, is more restricted in that we construct all math from numbers (Brouwer's position).>>If you followed the conversation between Richard and Dick, it appeared that Richard was pointing out unmentioned assumptions that Dick recognized were assumptions.>I don't follow your reasoning. When we say that we do math it is not decided whether we are simply discovering what objectively exists 'out there' or whether we are simply constructing our own meaning with cool looking squiggles.>Nevertheless, how can we justify a subjective reality based on a model that purports to arrive at some of the physical equations?>It would seem that Dick's model (i.e., his equations) would suggest the exact opposite. Rather, if the laws of physics do emerge from mathematics, then the rules of math are 'out there' and the subjectivity of the universe is completely removed. It is a fully realist (i.e., objectivist) account of the universe and its laws.

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