20131231, 13:40  #12 
"Bob Silverman"
Nov 2003
North of Boston
3·5·509 Posts 

20131231, 14:05  #13 
"Bob Silverman"
Nov 2003
North of Boston
1110111010011_{2} Posts 

20131231, 21:16  #14 
"Serge"
Mar 2008
San Diego, Calif.
3·3,469 Posts 
The purpose of this new thread is clear: magically wave hands some more, and add some nicely sounding words, "Carmichael", "Wieferich", and voila  the infamous "proof" will finally be safe.
Just like Tigger's proof that "Tiggers like everything!" "Everything except honey," said Tigger. ... "Everything except honey and haycorns," explained Tigger. ... "Everything there is in the world except honey and haycorns andwhat were those hot things called?" "Thistles." "Yes, and those." 
20131231, 22:06  #15 
∂^{2}ω=0
Sep 2002
República de Califo
2^{2}·2,939 Posts 
All we need now is for the OP to upvote himself under a second UID, like he did before. "I can find no flaws with this excellent paper by Stan, d00dz."

20140101, 00:39  #16  
Aug 2006
2^{2}×3×499 Posts 
Quote:
I would say there isn't really a close equivalent in English. An Ansatz is a type of conjecture, to be sure, but it wouldn't be right to call, say, the Twin Prime Conjecture or the Goldbach Conjecture Ansätze. It's really just a conjecture about the form of an answer, not the values (nor their existence). 

20140102, 13:02  #17  
"Bob Silverman"
Nov 2003
North of Boston
3×5×509 Posts 
Quote:
was unaware of the subtlety that you point out. 

20140102, 18:53  #18 
Aug 2006
2^{2}·3·499 Posts 
Glad to help.
By way of illustration: Chebyshev was able to prove the Prime Number Theorem, on the Ansatz that pi(x) ~ ax/log x for some constant a. 
20140102, 21:37  #19 
∂^{2}ω=0
Sep 2002
República de Califo
2^{2}×2,939 Posts 
Perhaps "starting postulate", "assumption requiring proof" or "claim" are better analogs, then.

20140102, 21:43  #20 
Aug 2006
2^{2}×3×499 Posts 
Maybe. It's weaker than a claim, more of a starting guess or even hunch. For example, when you guess that an integral might of of a certain form and then take its derivative to see if you can specialize the result into the starting problem, that guess is an Ansatz. But you wouldn't call that a claim until you had actually shown that it works.

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