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...Which Is Much More Precise Than Analogies.

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Posted by Paul R. Martin on May 31, 2003 03:13:20 UTC

Hi Mark,

You do use a lot of analogies. So many that I think they get in the way of understanding rather than help.

I see Dick's discovery as consisting of two parts. First is a theorem of mathematics which has nothing to do with reality. Second is the discovery that solutions to his theorem, which is stated as a differential equation, produce familiar laws of physics. Since there are undoubtedly many more solutions to his equation yet to be discovered, it seems to me that it is likely that new solutions, when found, will suggest new, as yet undiscovered, laws of physics. This would seem to me to provide an enormous incentive for young scientists to begin searching for those solutions and laws.

Now, as for trusting either mathematics or scientific observations, I guess you could take a skeptical stance and say that nothing is trustworthy. But so far, I don't think anything is more trustworthy than mathematics if the measure is the number of people who deny its truth. And I don't think you can find anything more trustworthy than science if the measure is the power it provides to humans in the control of nature. I think Dick's work contributes both as an extension to mathematics and as a a new avenue of approach for science.

Warm regards,

Paul

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