Josh Infiesto
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 Jan 6 asked Confusion concerning Cantor's theorem. Oct 30 accepted Confusion about least upper bound property of reals constructed as Dedekind Cuts. Oct 30 comment Confusion about least upper bound property of reals constructed as Dedekind Cuts. Not at all, this was enlightening. I think I just need to ponder infinite sets for a bit. Oct 30 comment Confusion about least upper bound property of reals constructed as Dedekind Cuts. I'm fine with statements and quantifiers. I think I'm being freaked out by the fact that left part of every successive cut in $\mathcal{C}$ is a subset of the left part of the next cut, so I guess, to use your example, my intuition for cuts looks more like $A_1 = \{1\}$ and $A_2 = \{1, 2\}$ for which the above statements do not hold for $A$, $A_1$ and $A_2$. Oct 30 comment Confusion about least upper bound property of reals constructed as Dedekind Cuts. It's confusing to me that both the above statements can be true. Do you know a resource where I can read more about this? Oct 30 comment Confusion about least upper bound property of reals constructed as Dedekind Cuts. Alright, I think I mostly get it. Can you explain what it is about infinity that makes this so? In my head, this still seems somewhat paradoxical. I guess my reasoning is that since every $H_n \subset H$ $H > H_n$ for all $H$. On the other hand though, since $H$ is the union of all $H_n$, there is no element in $H$ that does not appear in some $H_n$, which is what's bugging me still. Infinity makes my head hurt. Oct 30 asked Confusion about least upper bound property of reals constructed as Dedekind Cuts. Oct 4 awarded Yearling Oct 3 accepted Help with this related rates problem. Oct 3 comment Help with this related rates problem. Thanks. I thought that this was the case, but also suspected I might be missing something as the rest have numeric solutions. Oct 3 comment Help with this related rates problem. As stated in the question, I am aware of this. This does not yield a numeric answer, simply the rate of change in terms of the other variables. Oct 2 asked Help with this related rates problem. Sep 24 awarded Autobiographer Sep 24 accepted Why is this derivative not undefined at a given point? Sep 24 accepted Problem reconciling this proof with what I know about the Reals. Sep 20 asked Why is this derivative not undefined at a given point? Sep 18 accepted Why does implicit differentiation work on non-functions? Sep 18 asked Why does implicit differentiation work on non-functions? Aug 22 awarded Inquisitive Aug 21 accepted Computing the standard part of $(3-\sqrt{c+2})/(c-7)$ where the standard part of $c$ is $7$