Josh Infiesto
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 Apr15 comment Help verifying my proof that for any $\epsilon>0$, there exists rational $\frac{j}{k}$ such that $0<\frac{j}{k}<\epsilon$ I didn't know about the Archimedean Property... Thanks for pointing that out. Apr15 comment Help verifying my proof that for any $\epsilon>0$, there exists rational $\frac{j}{k}$ such that $0<\frac{j}{k}<\epsilon$ Clarity seems to escape me. I don't know why I didn't think of that. Apr15 asked Help verifying my proof that for any $\epsilon>0$, there exists rational $\frac{j}{k}$ such that $0<\frac{j}{k}<\epsilon$ Apr2 accepted Proving that if $\frac{m}{n}<\sqrt{2}$ then there exists $\frac{m'}{n'}$ such that $\frac{m}{n}< \frac{m'}{n'}<\sqrt{2}$ Mar27 revised Proving that if $\frac{m}{n}<\sqrt{2}$ then there exists $\frac{m'}{n'}$ such that $\frac{m}{n}< \frac{m'}{n'}<\sqrt{2}$ added 242 characters in body Mar27 comment Proving that if $\frac{m}{n}<\sqrt{2}$ then there exists $\frac{m'}{n'}$ such that $\frac{m}{n}< \frac{m'}{n'}<\sqrt{2}$ I like this, but at this point in the book, Spivak hasn't covered limits... Mar27 asked Proving that if $\frac{m}{n}<\sqrt{2}$ then there exists $\frac{m'}{n'}$ such that $\frac{m}{n}< \frac{m'}{n'}<\sqrt{2}$ Mar25 comment Proving that $\sqrt{2}+\sqrt{3}$ is irrational This is clever and very simple. I barely missed this idea. I was trying to do stuff with conjugates, but didn't quite connect the dots. Mar25 accepted Proving that $\sqrt{2}+\sqrt{3}$ is irrational Mar25 revised Proving that $\sqrt{2}+\sqrt{3}$ is irrational added 1 characters in body Mar25 comment Proving that $\sqrt{2}+\sqrt{3}$ is irrational Oddly, those didn't come up when I searched. I saw those after posting and was going to close, but then people started answering. Still, it's been helpful. Mar25 asked Proving that $\sqrt{2}+\sqrt{3}$ is irrational Mar18 comment Proof that $\binom{ n}{k} \in \mathbb N$ That's probably my biggest complaint about the text. For the most part, the exercises are very illuminating. Every once in a while though, I get a problem like this that really makes me wonder what he's trying to show here. Mar18 accepted Proof that $\binom{ n}{k} \in \mathbb N$ Mar18 comment Proof that $\binom{ n}{k} \in \mathbb N$ Most of the proof exercises in Spivak seem to follow directly from the text. I had to incorporate quite a bit of outside knowledge to do this one, which makes me feel like I'm missing the point... Mar18 asked Proof that $\binom{ n}{k} \in \mathbb N$ Mar16 comment Help with this inequality. Nvm, I figured it out. Mar16 accepted Help with this inequality. Mar16 accepted Help proving a little theorem about inequalities Mar16 accepted Trying to prove this statement about inequalities