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Those laws of physics you lot love to..

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423zero View Drop Down
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Really should get out more


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Post Options Post Options   Quote 423zero Quote  Post ReplyReply Direct Link To This Post Topic: Those laws of physics you lot love to..
    Posted: 29 Sep 17 at 9:34pm
Mathematics itself is a consistent, logical system and does not require repeated experimentation to affirm something with certainty only approaching, but never reaching 100%. Any valid proof will give you perfect certainty of a mathematical fact, forever.

On the other hand, the way we do mathematics is empirical. Take the question of whether we can prove that mathematics is completely internally consistent. This is actually impossible due to the incompleteness theorem of Goedel, but hundreds of years of advanced mathematics hasn't turned up any serious contradictions. To use the appropriate language, we have evidence that mathematics is "true", but we cannot know with absolute certainty. Even checking all proofs is impossible because there are a (countably) infinite number of them.
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Rupert View Drop Down
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Post Options Post Options   Quote Rupert Quote  Post ReplyReply Direct Link To This Post Posted: 29 Sep 17 at 10:45pm
The way I do maths, mainly on my fingers, means pretty much any answer is possible, barring, perhaps, the right one.
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Riv View Drop Down
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Post Options Post Options   Quote Riv Quote  Post ReplyReply Direct Link To This Post Posted: 01 Oct 17 at 9:56am
I keep in mind George Box's (statistician) quote when thinking about lift:

"all models are wrong, but some are useful"
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zippyRN View Drop Down
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Post Options Post Options   Quote zippyRN Quote  Post ReplyReply Direct Link To This Post Posted: 01 Oct 17 at 11:36am
Originally posted by Riv

I keep in mind George Box's (statistician) quote when thinking about lift:

"all models are wrong, but some are useful"

not far off it ... 

nearly  all the science  to do with  boats and ships is  application of the least worst model 
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