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Jan
5
comment Easiest way to prove that $2^{\aleph_0} = c$
@isomorphismes I don't need to prove that c = aleph 1. That would require the Continuum hypothesis and further complicate things. Also, I am looking for the simplest way, your edit might suggest that I am looking for the original proof.
Jan
5
awarded  Custodian
Jan
5
reviewed Reject suggested edit on Easiest way to prove that $2^{\aleph_0} = c$
Jan
5
asked Easiest way to prove that $2^{\aleph_0} = c$
Jan
4
awarded  Editor
Jan
4
comment How to prove some properties of partitions of finite subsets of N?
@gnometorule Yes, I made a mistake. I corrected it to provide a non-recursive definition for the progression.
Jan
4
revised How to prove some properties of partitions of finite subsets of N?
added 10 characters in body
Jan
4
comment How to prove some properties of partitions of finite subsets of N?
@Ilya I don't see what is your point, could you explain a bit more?
Jan
4
comment How to prove some properties of partitions of finite subsets of N?
@Amr That is not a counterexample. In the second set, 2, 5, 8 are elements of an arithmetic progression, and also 5, 6, 7, 8, 9 are elements of another arithmetic progression.
Jan
4
asked How to prove some properties of partitions of finite subsets of N?
Nov
15
comment Four men seated in a boat puzzle
Yes, that lends an idea of the process. Thanks again, it's all fine now.
Nov
15
awarded  Scholar
Nov
15
comment Four men seated in a boat puzzle
Alright, that makes sense. Thanks.
Nov
15
accepted Four men seated in a boat puzzle
Nov
15
comment Four men seated in a boat puzzle
It would be most helpful if you could edit your post to contain that additional labeling of conditions and establishing those relationships as much as that could be done. If you could do that, than that would be the perfect solution to this question.
Nov
15
comment Four men seated in a boat puzzle
Good answer. I'm just interested if we could use some logic statements, or logic functions with predicates to mathematically write out all of this. Of course, we could write those requests for each man as logical functions using predicates and establish the conditions, but besides that, is there any way to elegantly and mathematically write out all that you said, and the fact that only "BACD" is the solution to the exercise?
Nov
15
awarded  Student
Nov
15
awarded  Supporter
Nov
15
awarded  Analytical
Nov
15
asked Four men seated in a boat puzzle