T. Verron
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 Dec 16 awarded Caucus Dec 9 comment Why are integers subset of reals? @EmilJeÅ™ábek The definition of multiplication on this subset of $\mathbb{R}$ does not necessarily come from the multiplication on $\mathbb{R}$: it can be seen as a restriction of the multiplication $\mathbb{Z} \times \mathbb{R} \to \mathbb{R}$, defined by $(n+1)x=nx + x$ and $(-1)x = -x$ (in other words, the $\mathbb{Z}$-module structure of any commutative group). With this definition, 2.0 does not divide 1.0. Jun 10 revised “It looks straightforward, but actually it isn't” Too big a shortcut... Jun 10 revised “It looks straightforward, but actually it isn't” Typo Jun 9 revised “It looks straightforward, but actually it isn't” On the OP's suggestion, added a possible elementary proof May 13 awarded Caucus Nov 18 answered Prove that R is a ring under 'special' definitions of multiplication and addition Oct 18 comment How to show that $\frac{\sin(n)}{n}$ is $1$ as $n \rightarrow 0$? As an alternative, you can consider that limit as a derivative. Sep 30 revised Construct (with ruler and compass) a square given one point from each side. added 3 characters in body Sep 30 awarded Teacher Sep 29 awarded Supporter Sep 29 awarded Editor Sep 29 revised Construct (with ruler and compass) a square given one point from each side. added 6 characters in body Sep 29 answered Construct (with ruler and compass) a square given one point from each side. Sep 29 comment Construct (with ruler and compass) a square given one point from each side. I'm not sure to understand the question... Do you want a proof that this solution works?