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RECENT POSTS IN THIS TOPIC

Herb Wiggins: on 9/16/14 at 17:52pm UTC, wrote First, Occam's Razor is very likely a kind of least energy principle. That...

Eckard Blumschein: on 9/11/14 at 6:17am UTC, wrote "whether questions exist whose answer can be quickly checked, but which...

Elliot Pines: on 8/28/14 at 5:12am UTC, wrote Still the thought nags. Is not Occum's Razor--be it Kolmogorov...

Dean Clark aka EightBitMe: on 8/18/14 at 10:05am UTC, wrote This may seem too simplistic but the minimum path issue, could we use the...



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Dean Clark aka EightBitMe wrote on Aug. 18, 2014 @ 10:05 GMT
This may seem too simplistic but the minimum path issue, could we use the bread crumb principle. Spread virtual bread crumbs and just sort out the paths by counting the least crumbs?

I am not a scientist or mathematician so feel free to ignore me.

Use a graph to sort out the numbers and as you get more data calculated you would (my guess) be able to eliminate the ones that probably will fall outside your goal.

my email is eightbitme@gmaail.com

or no1athomedotgov@outlook.com

or even sdc15485863@yahoo.com

(say that number looks familiar what is that number)

Hint it is a prime # but what one?

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Elliot Martin Pines wrote on Aug. 28, 2014 @ 05:12 GMT
Still the thought nags.

Is not Occum's Razor--be it Kolmogorov complexity/(Chaitin's) algorithmic information--merely the approximation of a rapidly decaying tail of an infinite distribution of possibilities.

In the greater scheme of things, will assuming such a decaying tail still prove valid?

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Eckard Blumschein wrote on Sep. 11, 2014 @ 06:17 GMT
"whether questions exist whose answer can be quickly checked, but which require an impossibly long time to solve by any direct procedure."

The question how large is the sum 1/2 + 1/4 + 1/8 + ... can be quickly and plausibly answered by means of common sense but definitely not by direct procedure.

While Kolgomorov's idea is convincing to me, I did not yet grasp its promised application.

Let me reiterate a seemingly quite different statement of mine: Addition of redundancy, in particular with complex valued Fourier transformation (FT) instead of equivalent real-valued cosine transformation (CT), can effectively be considered as causing incompleteness if the original mathematical model pf concern resides in R* instead of R. In terms of physics: Future data cannot be measured in advance.

CT is then not just simpler than FT but also basic to it. Can you imagine a physics that needs ict and ih_bar merely for the sake of convenience and tradition?

Eckard Blumschein

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Herb Wiggins wrote on Sep. 16, 2014 @ 17:52 GMT
First, Occam's Razor is very likely a kind of least energy principle. That is, it suggests the least energy solution to a problem, viz., that the best solution to a problem creates the fewest new terms, hypotheses, etc., in explaining a phenomenon. In this case, it's thermodynamically efficient when compared to the other hypotheses which purport to explain a phenomenon. It's a process comparing...

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