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accepted How to reconcile the existence of the least upper bound?
Nov
26
comment How to reconcile the existence of the least upper bound?
But, after all, if my intuition will refuse accepting this fact, I will have to accept it as a given. John von Neumann said: "In mathematics we don't understand things. We just get used to them."
Nov
26
comment How to reconcile the existence of the least upper bound?
When you say that $B$ has the form $[a, \inf)$ or $(a, inf)$, you assume the existence of the greatest lower bound in real numbers. Which is easier for $B$ -- I agree -- because $B$ is like an interval and $S$ is like a set of dots. But still it is not intuitive that there must be a real that is the greatest lower bound for $B$.
Nov
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asked How to reconcile the existence of the least upper bound?
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asked Compare a non-computable real number to a rational
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accepted Factor a cubic polynomial
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asked Factor a cubic polynomial
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Oct
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accepted Is it a wrong exercise in Pinter's Algebra?
Oct
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comment Is it a wrong exercise in Pinter's Algebra?
No, this question is supposed to be proved.
Oct
26
revised Is it a wrong exercise in Pinter's Algebra?
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revised Is it a wrong exercise in Pinter's Algebra?
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asked Is it a wrong exercise in Pinter's Algebra?