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  • 23 votes cast
Feb
2
comment Full classes in Kelley's book
Carl, thank you! Pedro gave already a counterexample in his answer.
Feb
1
accepted Full classes in Kelley's book
Feb
1
comment Full classes in Kelley's book
Thank you, Pedro!
Jan
31
comment Full classes in Kelley's book
Henning, is there a counterexample for the reverse implication?
Jan
31
comment Full classes in Kelley's book
So there are no implications between these conditions? Or still there is a trick for (1)$\Rightarrow$(2)?
Jan
31
comment Full classes in Kelley's book
@CarlMummert , excuse me, I did not understand why the first condition implies the second. It is seen that $A\in X$, but why $A\in C$?
Jan
31
comment Full classes in Kelley's book
Thanks to all for the help!
Jan
31
comment Full classes in Kelley's book
Ah, so $\{\{0\}\}$ satisfies the second condition, but not the first, does it?
Jan
31
asked Full classes in Kelley's book
Nov
1
revised Calculus as a structure in the sense of Model theory
edited tags
Oct
28
comment Calculus as a structure in the sense of Model theory
Even if this is inevitably a 2nd order construction, there must be a "scientific explanation" of the observed picture. :) Is it possible that nobody tried to look at Calculus from this point of view?
Oct
28
comment Calculus as a structure in the sense of Model theory
@BrianO, if we narrow the list of elementary functions, will it be still possible to present this as a 1st-order notion? Say, if only polynomials will be elementary functions, will it be correct?
Oct
28
comment Calculus as a structure in the sense of Model theory
Mauro, thank you.
Oct
28
comment Calculus as a structure in the sense of Model theory
Brian, yes, I understand that these supplementary operations, derivative and integral, are something new in constructions of that kind. However, I believe somebody considered this already, and can clarify the details...
Oct
28
comment Calculus as a structure in the sense of Model theory
I am dreaming of reading them. :)
Oct
28
asked Calculus as a structure in the sense of Model theory
Aug
6
revised Image of a Jordan compact set under a degenerate map
added 151 characters in body
Aug
5
revised Image of a Jordan compact set under a degenerate map
added 1 character in body
Aug
5
awarded  Yearling
Aug
5
revised Image of a Jordan compact set under a degenerate map
simplification