659 reputation
517
bio website
location Reno, NV
age 23
visits member for 3 years, 2 months
seen Dec 22 at 5:49

I'm a math/programming teacher and freelance programmer. My first language was Scheme, and I have a major soft spot for functional programming. I read SICP every year and do all of the exercises (so I'm pretty good at hw-type problems.)


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 $7$
Aug
21
comment Computing the standard part of $(3-\sqrt{c+2})/(c-7)$ where the standard part of $c$ is $7$
Yep. I'm a moron. Thanks guys.