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Guest Message by DevFuse

# 1 = 2 revisited

33 replies to this topic

### #11 bonanova

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Posted 23 January 2013 - 11:51 PM

This is great - beautiful, even.
Except, the power tower unfortunately does not converge for both cases (for 2, but alas not for 4 as I remember.)
I made a graph of the divergence point sometime back, I will look for it.

When the records are written, however, this def gets Honorable Mention.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #12 bushindo

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Posted 24 January 2013 - 12:00 AM

This is great - beautiful, even.
Except, the power tower unfortunately does not converge for both cases (for 2, but alas not for 4 as I remember.)
I made a graph of the divergence point sometime back, I will look for it.

When the records are written, however, this def gets Honorable Mention.

Great proof as well. I have no beef with the power tower, but isn't the argument similar to this one
Spoiler for

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### #13 bonanova

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Posted 24 January 2013 - 12:03 AM

Ah, the old dazzle 'em with double angles and parentheses ploy!
Remember it well from my college days.
Did you think I would actually evaluate all those functions?
Unfortunately that is unnecessary. It came out wrong by a factor of 4.
While the problem asked for a "proof" that 1=2; you ended up with 2=1; I.e., that 4=2.

In a dyslexic world, where a skeptic is unsure there is such a thing as a dog, that might suffice.
But I'm afraid the quest must go on.

Efforts should be rewarded, nonetheless. Thus, a clue.
If you get far enough out of the box, it might be the start of a relaxing hour after work.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #14 bonanova

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Posted 24 January 2013 - 12:24 AM

This is great - beautiful, even.Except, the power tower unfortunately does not converge for both cases (for 2, but alas not for 4 as I remember.)I made a graph of the divergence point sometime back, I will look for it.When the records are written, however, this def gets Honorable Mention.
Great proof as well. I have no beef with the power tower, but isn't the argument similar to this one
Spoiler for
Nicely debunked Bushindo.

However, as I stand now the the company of two great logicians/mathematicians, I tread lightly regarding weak points, knowing the desired solution might likewise be so described. Its redeeming quality being only that it fits the given conditions so nicely.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #15 bonanova

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Posted 25 January 2013 - 03:27 PM

Spoiler for Maybe this is it

No. Sorry that's not it, either. Keep trying.
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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #16 BobbyGo

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Posted 25 January 2013 - 04:23 PM

Spoiler for

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### #17 CaptainEd

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Posted 25 January 2013 - 04:34 PM

Yes, but that's physics.

My father was a nuclear physicist in the 50's, in the slide rule era. When I was in high school, he explained to me a couple of important principles of applied mathematics:

* For large enough N, anything = 1

* For really large enough N, anything = 0

As a corollary, he pointed out (for a different problem than this one), that "2 is one of the larger numbers that is equal to 1".

But that's physics...

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### #18 bonanova

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Posted 26 January 2013 - 08:36 AM

Uhhh ... There!  I just cut a king-size hole in the box so we can all leave..

Since we're looking for a proof and a symbol, I considered saying what the symbol is.

Suffice it that the symbol would probably bring the search to an end, and specifying the proof most certainly would.

So I'll just let that information itself be the clue.

Relax, and let the solution come to you.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #19 Prime

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Posted 26 January 2013 - 08:49 AM

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Past prime, actually.

### #20 TimeSpaceLightForce

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Posted 26 January 2013 - 09:03 AM

Spoiler for Reciprocity

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