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RE: The Mathematical Proof Thread
14th September 2016, 04:04
I proved Goldbach's Conjecture last week while I was making tea. I wrote the proof on a napkin, but my dog ate it. Sorry.
Boru
'There are people who long for immortality in the afterlife who don't know what to do with themselves on a rainy Sunday afternoon.'  Isaac Asimov
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RE: The Mathematical Proof Thread
14th September 2016, 04:06
(14th September 2016, 04:04)BrianSoddingBoru4 Wrote: I proved Goldbach's Conjecture last week while I was making tea. I wrote the proof on a napkin, but my dog ate it. Sorry.
Boru
Would you believe that that exact same thing happened to me with my theory of everything? What are the odds!
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RE: The Mathematical Proof Thread
14th September 2016, 04:08
(14th September 2016, 04:06)Alex K Wrote: (14th September 2016, 04:04)BrianSoddingBoru4 Wrote: I proved Goldbach's Conjecture last week while I was making tea. I wrote the proof on a napkin, but my dog ate it. Sorry.
Boru
Would you believe that that exact same thing happened to me with my theory of everything? What are the odds!
Cleary, the odds are 1:1. I assert this, can't prove it.
Boru
'There are people who long for immortality in the afterlife who don't know what to do with themselves on a rainy Sunday afternoon.'  Isaac Asimov
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RE: The Mathematical Proof Thread
14th September 2016, 04:13
(14th September 2016, 04:08)BrianSoddingBoru4 Wrote: (14th September 2016, 04:06)Alex K Wrote: Would you believe that that exact same thing happened to me with my theory of everything? What are the odds!
Cleary, the odds are 1:1. I assert this, can't prove it.
Boru
Well, it's easily proven. It could be true, or not, so it's clearly fifty fifty.
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RE: The Mathematical Proof Thread
14th September 2016, 06:08
(This post was last modified: 14th September 2016, 06:08 by robvalue.)
I like the proof of Pythagoras' Theorom by inscribing a square inside another square. They share the same centre point, but the inside one is smaller and rotated slightly so that its corners touch the edges of the outer square.
By comparing the areas of the two squares and the four triangles that are produced, you can demonstrate the theorom after some slight manipulation.
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RE: The Mathematical Proof Thread
14th September 2016, 06:11
The trouble is that there are many fascinating mathematical proofs, but if one has to cite 5 other obscure theorems to do it, they are no fun here.
There's a basic proof that the real numbers are not countable which is using primes which I found quite fascinating. I'll try to recall it or find it.
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RE: The Mathematical Proof Thread
14th September 2016, 06:18
Oh yeah, I know the one you mean
Or at least, I know of one simple way to show it.
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RE: The Mathematical Proof Thread
14th September 2016, 11:28
(This post was last modified: 14th September 2016, 11:34 by RozKek.)
I've really liked math since 6th grade, and very recently I've started getting into it even more, at the start of our first math lecture this season my teacher came to me and my friend and slid the mathematics challenge book to us and walked away. I really need to get started with it, it seems really interesting, I haven't read much about proofs, but I'll get into it.
I'm going to start with why the heck x^0 equals 1.
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RE: The Mathematical Proof Thread
14th September 2016, 11:38
(14th September 2016, 11:28)RozKek Wrote: I've really liked math since 6th grade, and very recently I've started getting into it even more, at the start of our first math lecture this season my teacher came to me and my friend and slid the mathematics challenge book to us and walked away. I really need to get started with it, it seems really interesting, I haven't read much about proofs, but I'll try to get into it.
I'm going to start with why the heck x^0 equals 1.
That seems like more a matter of definitions and making conventions compatible.
If you think of x^3: as 1•x•x•x
and x^2 as: 1•x•x
and x^1 as: 1•x
then x^0 should be simply: 1
Note that 3 isn't a factor in x^3 any more than 2 is a factor in x^2. So there is no reason 0 should be a factor in x^0, the usual worry. Note that every factorization includes 1 trivially. x^1 does too. x^0 = 1 because there are no factors of x in it at all. But every factorization includes 1, trivially.
There are better justifications for this, but I found this way the most satisfying to students.
The kind of believing engaged in by most Christians we meet is not neutral, truth seeking believing. It isn't acceptance of the best supported conclusion, not submission to the facts. "True believers" believe heroically, they launch their belief at their chosen target with enthusiasm. While thrusting their belief forward they will brook no butwhatif's. Facts which do not conform are not recognized. 'True' belief is drunk with celebrating certainty, no further quest is required .. only the constant parrying with nay sayers.
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RE: The Mathematical Proof Thread
14th September 2016, 11:40
(14th September 2016, 11:38)Whateverist Wrote: (14th September 2016, 11:28)RozKek Wrote: I've really liked math since 6th grade, and very recently I've started getting into it even more, at the start of our first math lecture this season my teacher came to me and my friend and slid the mathematics challenge book to us and walked away. I really need to get started with it, it seems really interesting, I haven't read much about proofs, but I'll try to get into it.
I'm going to start with why the heck x^0 equals 1.
That seems like more a matter of definitions and making conventions compatible.
If you think of x^3: as 1•x•x•x
and x^2 as: 1•x•x
and x^1 as: 1•x
then x^0 should be simply: 1
Note that 3 isn't a factor in x^3 any more than 2 is a factor in x^2. So there is no reason 0 should be a factor in x^0, the usual worry. Note that every factorization includes 1 trivially. x^1 does too. x^0 = 1 because there are no factors of x in it at all. But every factorization includes 1, trivially.
There are better justifications for this, but I found this way the most satisfying to students.
heya, hoya, hoo, I'm not reading this until I give it some thought myself but thanks, I'll read this when I'm done crying
