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 May19 comment Is there a general formula for $\sin{(\frac{n \pi}{2})}$? Certainly there is, other than that formula. What other functions would you use? When I was a kid I programmed in BASIC where the built-in functions did include sin but also such things as int and abs... oeis.org is also interesting. Apr26 revised Arthur Milgram photo added 204 characters in body Apr26 revised Arthur Milgram photo added 204 characters in body Apr26 answered Arthur Milgram photo Apr26 accepted Is the size of the Online Encyclopedia of Integer Sequences bounded by aleph-null? Apr20 comment Is the size of the Online Encyclopedia of Integer Sequences bounded by aleph-null? So, the sequences that exist have the cardinality of the continuum, the sequences that we can ever describe have the cardinality of the integers, and the sequences that we ever have described have finite cardinality? Aleph-two and beth-two for example are entirely out of the question, I think? I'm not 100% clear on uncountables. Apr20 asked Is the size of the Online Encyclopedia of Integer Sequences bounded by aleph-null? Mar6 awarded Tumbleweed Feb22 awarded Yearling Nov16 awarded Benefactor Nov9 comment Why is ${x^{\frac{1}{2}}}$ the same as $\sqrt x$? We might think it's equally sensible to define the special case $0^0$ as $0$, but the mathematical convention for that is indeed $0^0 = 1$ in accord with the explanation above. Nov9 revised Is there a rational way to conceptualize an irrational number? I had reversed the footnotes (links)? Fixed. Nov9 comment What are the most overpowered theorems in mathematics? "The Axiom of Choice is obviously true; the Well Ordering Principle is obviously false; and who can tell about Zorn's lemma?" — Jerry Bona. I like how that joke sums up intuitions (rather than logic) regarding the Axiom of Choice and Zorn's Lemma. Nov9 awarded Promoter Nov9 comment We know the dimension of the Koch snowflake's perimeter, but does it have a measure? It has a positive and finite Hausdorff measure, am I right? I haven't carefully read and thought through what Hausdorff measure is all about. Nov9 comment How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen? Horrible, yes. But logically, what's wrong with questioning the mathematical model that pairs integers with pigs? They can indeed literally disintegrate. Oct28 comment We know the dimension of the Koch snowflake's perimeter, but does it have a measure? Relevant I think? So, it is quite difficult indeed? dx.doi.org/10.1016/j.amc.2007.01.046 Oct28 revised We know the dimension of the Koch snowflake's perimeter, but does it have a measure? Oops I meant the third vertex - clearly a triangle's sides, let alone its interior, contain infinitely many points. Oct28 asked We know the dimension of the Koch snowflake's perimeter, but does it have a measure? Oct28 revised How is a system of axioms different from a system of beliefs? Mention that although counting isn't as factual as it may seem, counting isn't broken either.