Comments for Mathophilia, or the Love of Math
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A blog on the role of mathematics and mathematicians in our societyTue, 04 Jun 2013 16:44:38 +0000hourly1http://wordpress.org/?v=4.0.18Comment on Do Great Scientists Really Not Need Math? by What it feels like to do mathematics | Mathophilia, or the Love of Math
http://mathophilia.com/do-great-scientists-really-not-need-math/#comment-182
Tue, 04 Jun 2013 16:44:38 +0000http://mathophilia.com/?p=189#comment-182[…] their own fields, leading some to suggest putting even less emphasis on mathematics, a position I argued against previously. However, I often get questions like the one recently popular on Quora: What is it like to […]
]]>Comment on Prime numbers, beautiful and useful by Exciting prime breakthroughs! | Mathophilia, or the Love of Math
http://mathophilia.com/prime-numbers-beautiful-and-useful/#comment-152
Mon, 27 May 2013 16:24:00 +0000http://mathophilia.com/?p=82#comment-152[…] theory, my “first love” in mathematics. In particular, two important conjectures about prime numbers have been proven for the first […]
]]>Comment on Chocolate, chance and choosing a problem by Mathematics and Theater – a Tale of Two Plays | Mathophilia, or the Love of Math
http://mathophilia.com/chocolate-chance-and-choosing-a-problem/#comment-73
Thu, 18 Apr 2013 17:47:17 +0000http://mathophilia.com/?p=120#comment-73[…] some universal themes in the play that I could relate to very well – the struggle of trying to solve a problem nobody had solved before you; the social interactions – or lack thereof – that you experience […]
]]>Comment on Poetry and Mathematics by Mathematics and Theater – a Tale of Two Plays | Mathophilia, or the Love of Math
http://mathophilia.com/poetry-and-mathematics/#comment-71
Thu, 11 Apr 2013 16:26:57 +0000http://mathophilia.com/?p=142#comment-71[…] recently wrote about mathematics and poetry, another art form that I appreciate a lot and engaged in seriously in the past. Today I’ll […]
]]>Comment on Prime numbers, beautiful and useful by The Missing Equation | Mathophilia, or the Love of Math
http://mathophilia.com/prime-numbers-beautiful-and-useful/#comment-68
Tue, 02 Apr 2013 14:44:49 +0000http://mathophilia.com/?p=82#comment-68[…] the first part of the principle’s name comes from the same Hardy who I quoted in an earlier post stating his pride in the fact that none of his work in mathematics would ever have any […]
]]>Comment on Some inspiration from George Polya by Mathophile
http://mathophilia.com/some-inspiration-from-george-polya/#comment-67
Mon, 01 Apr 2013 15:58:00 +0000http://mathophilia.com/?p=135#comment-67That’s absolutely right! I’ll contact you via email to arrange for the transfer of your prize
]]>Comment on Some inspiration from George Polya by Artem
http://mathophilia.com/some-inspiration-from-george-polya/#comment-66
Mon, 01 Apr 2013 15:53:36 +0000http://mathophilia.com/?p=135#comment-66Since none of your readers cared to give the answer, the argument in the inductive proof above breaks at the second step (that is for n = 2). Sets of one horse each don’t overlap.
]]>Comment on The path of love is never smooth by Poetry and Mathematics | Mathophilia, or the Love of Math
http://mathophilia.com/the-path-of-love-is-never-smooth/#comment-64
Thu, 21 Mar 2013 19:37:52 +0000http://mathophilia.com/?p=96#comment-64[…] But, just as poetry can inspire a mathematical analysis of structure, mathematical concepts have also inspired numerous poems. There is an entire blog dedicated to poems inspired by mathematics. I’m a big fan of using mathematical ideas in poetry, and still recall bits and pieces of a love poem I wrote in undergrad starting with the words “You are not isomorphic to any other”. But, of course, the unrivaled champion of mathematical poetry is, in my opinion, “The finite simple group of order 2” from this post. […]
]]>Comment on Chocolate, chance and choosing a problem by Poetry and Mathematics | Mathophilia, or the Love of Math
http://mathophilia.com/chocolate-chance-and-choosing-a-problem/#comment-63
Thu, 21 Mar 2013 19:35:20 +0000http://mathophilia.com/?p=120#comment-63[…] This leads me to the next point – both poetry and mathematics deal with patterns. While a lot of contemporary poetry is written in free verse, historically, most poetry has been written using pre-defined patterns, or forms, such as the sonnet, the villanelle, the rondeau, or, in the East, the haiku, the ghazal, the rubai (plural: rubaiyat), and so on. Each of these forms imposes particular restrictions on one of the following poetic “parameters”: length (number of lines per stanza and in total); rhyming pattern (which lines line with which other ones); meter (which syllables bear stress and which do not); and number of syllables in each line (such as the 5-7-5 pattern of the haiku). One of my poems included in an embarrassing treatise on writing poetry addressed to my friends that I put together 10 years ago (incidentally, while taking breaks from studying abstract algebra), made use of 3 of these restrictions. The entire poem had 6 stanzas, each stanza had 6 lines, and each line had 6 syllables. Mathematics can not only suggest other interesting forms, but can also be used to count the number of possibilities. For instance, the number of possible rhyming patterns of a certain length is counted by the Bell numbers, while the number of possible non-crossing rhyming patterns (eg. excluding ABAB) is counted by the Catalan numbers, mentioned in one of my earlier posts. […]
]]>Comment on Some inspiration from George Polya by Mathophile
http://mathophilia.com/some-inspiration-from-george-polya/#comment-59
Sat, 16 Mar 2013 15:34:29 +0000http://mathophilia.com/?p=135#comment-59Yes, there is indeed a prize, though it’s not monetary… I feel that finding flaws in proofs is a good skill to develop, given how many flaws there are in published proofs (although the flaw in this argument may be rather easy to detect).
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