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Apr
26
revised Is 1+1 =2 a theorem?
deleted 1 character in body
Apr
26
comment Does not being a subset of a set mean that you are a subset of the complement set?
try some more examples then.
Apr
26
comment Does not being a subset of a set mean that you are a subset of the complement set?
did you test your hypothesis on some very small sets and try to experiment with it?
Apr
26
comment Find all the automorphisms of $(\mathbb{R},<)$, the real numbers with the usual ordering
@oliverjones you can shift, you can expand, you can shrink, and you can combine these operations to get uncountably many isomorphisms.
Apr
26
answered base b expansion of real numbers
Apr
26
comment Prove that the set A satisfies all the axioms to be a commutative ring with unity. Indicate the zero element, the unity and the negative.
writing $a+b=a+b-1$ should immediately give you a headache. Are you sure the problem was stated like that?
Apr
26
answered Is power set of a power set of a set equal to the power set of the same set?
Apr
26
answered Proving uncountability of $\mathbb R$ only using the complete ordered field axioms
Apr
24
revised Algebraically closed field and it's characteristic
added 2 characters in body
Apr
23
comment Prove that there is no smallest positive real number
what you are doing is just fine. Just wait with announcing "contradiction" until you actually have one. To be very accurate, you want to say why $y<x$ and whey $y$ is a positive real number. Then you have your contradiction.
Apr
22
comment Example of Abelian Group of order 2014
hint:Why not simply list all of them (up to isomorphism)? It's quite easy.
Apr
21
answered what do we mean by saying that a particular computing machine is more powerful than another computing machine?
Apr
21
answered Comparing Category Theory and Model Theory for Master's Thesis.
Apr
20
answered In $\Bbb Z[\sqrt{2}]=\{a+b\sqrt{2}\rvert a,b∈\Bbb Z\}$, show that every element of the form $(3+2\sqrt{2})^n$ is a unit, where n is a positive integer
Apr
20
revised In $\Bbb Z[\sqrt{2}]=\{a+b\sqrt{2}\rvert a,b∈\Bbb Z\}$, show that every element of the form $(3+2\sqrt{2})^n$ is a unit, where n is a positive integer
added 2 characters in body
Apr
17
comment Need help with proof of existence of $\sqrt{2}$
if $q\ge 2$, then $qq\ge 2q\ge 2\cdot 2=4>2$.
Apr
17
comment Need help with proof of existence of $\sqrt{2}$
and what precisely $f(x)=\sqrt x$ is then? You are trying to argue $\sqrt 2$ exists by arguing that $\sqrt x$ exists for which $x$ exactly?
Apr
17
comment Need help with proof of existence of $\sqrt{2}$
You seem to already assume quit a lot about $\sqrt 2$....
Apr
17
answered Need help with proof of existence of $\sqrt{2}$
Apr
16
comment What are some illustrative examples that demonstrate how $\succ$ can differ in behavior from $>$ and/or $\geq$?
note that in the reference the well-below relation is the classical one from domain theory, i.e., it talks about directed sets. Flagg's notion is slightly more general.