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Post Akm1XlV0eSYdR4m0n2 by [email protected] |
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Post #Akm0rUc92TueuCxCWe by [email protected] |
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Ancient Greek mathematicians, or so we hear, understood multiplication geometri… |
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Post #Akm0rUiWel17DzwITI by [email protected] |
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For this I'll quote @KeithDevlin's column: For most of history, what… |
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Post #Akm0rUpcEOgjZzFxWS by [email protected] |
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Next let's see what Descartes had to say about the question of units back i… |
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Post #Akm0rUvzqfnBtmF3T6 by [email protected] |
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Now let's hear how Newton dealt with this same issue 33 years after Descart… |
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Post #Akm0rV21UGc4CT3rrU by [email protected] |
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Finally, what do algebraic geometers think about this? They will take a polyn… |
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Post #Akm0rV8l5E06XMDFMO by [email protected] |
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@johncarlosbaez Regarding the line objects - it's nice (and of course I'… |
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Post #Akm1XlV0eSYdR4m0n2 by [email protected] |
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@johncarlosbaez Interesting. I surely never mentioned it, but I've been int… |
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Post #Akm2in8uyrLRfnGJ04 by [email protected] |
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@johncarlosbaez You believe rightly, except that the Ancient Greeks didn't … |
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Post #Akm2sQuOVB33bv49Nw by [email protected] |
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@johncarlosbaez I think the ancient Egyptians had some understanding of this.Th… |
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Post #Akm2sR1868R5woDWsq by [email protected] |
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@johncarlosbaez OK, they at least understood when an equation was homogeneous o… |
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Post #Akm2sR79jjFyFV2LHE by [email protected] |
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@dpiponi - that's interesting!Neugebauer says the Egyptians were pathetical… |
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Post #Akm3DckZfbwuPyZrVY by [email protected] |
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@johncarlosbaez I hadn't heard that about logs (as in wooden logs).If this … |
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Post #Akm68RN8qTaLXopwxc by [email protected] |
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@johncarlosbaez @KeithDevlin And then in physics teaching we have to undo the a… |
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Post #Akm68RSoVO7dpPUTnk by [email protected] |
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@alfredo - exactly, that's part of the irony of it all!@KeithDevlin |
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Post #Akm6GSlRYPKiB71sLA by [email protected] |
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@johncarlosbaez @buchholtz There is a long discussion about the subject of this… |
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Post #Akm6wounaV8j2ZbQVE by [email protected] |
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@johncarlosbaez You wrote: "... rewrite the equation as yz = 3x² + 4xz&… |
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Post #Akm6wpvXpDKYBAxXIu by [email protected] |
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@wikicliff @johncarlosbaez The point here is to force all the added terms into … |
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Post #Akm6wq1DU7rqSlc492 by [email protected] |
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@glmxndr @johncarlosbaez Oh...that makes more sense.I don't like that z *mu… |
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Post #Akm6wq7F7igilSQsXQ by [email protected] |
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@wikicliff @glmxndr - Suppose x and y are lengths measured in meters, and z is … |
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Post #Akm8VGr0JnJdUVopou by [email protected] |
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@johncarlosbaez : This (the entire thread) seems like a lot of work to go thro… |
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Post #Akm9HAkeJIxESrghFo by [email protected] |
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@pschwahn - the simplest example is the category of 1-dimensional supervector s… |
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Post #AkmC4XDflMRaFJvdgm by [email protected] |
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@johncarlosbaez @KeithDevlin This reminds me of the number system in some langu… |
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Post #AkmC4XK3NdY2Z6ujdQ by [email protected] |
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@pare - you're making me think of all the "sortals" they have in … |
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Post #AkmCP3TbXezK55AK7U by [email protected] |
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@MartinEscardo - interesting! I should read this. @buchholtz |
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Post #AkmZuFLbkmbUoyGdpA by [email protected] |
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@johncarlosbaez Lovely! When I try to convince my engineering students to "… |
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Post #AkmbiotbxXbRVQqqFk by [email protected] |
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@johncarlosbaez this is still a common trick when writing software that has to … |
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Post #AkmdibMgT2cBRrTPzE by [email protected] |
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@TobyBartels - I'm quite ignorant of what exactly the different Greeks did … |
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Post #Akmj6xqD3JdTsUii3M by [email protected] |
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@johncarlosbaez : Newton couldn't have read Eudoxus, whose works were lost… |
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Post #AkmjwjcNB9tSp8vz96 by [email protected] |
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@johncarlosbaez : Wikipedia says that Eudoxus's ideas were ‘revived by T… |
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Post #AkmjwjiOokiL7pknXU by [email protected] |
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@TobyBartels - thanks! I bet there are scholarly articles about this stuff, so… |
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Post #Akmkpa3uPQ8l77xz6W by [email protected] |
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@johncarlosbaez : The definitions and propositions are perfectly anonymous abo… |
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Post #AkmktxCoItHg3DDQ6S by [email protected] |
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@TobyBartels - but the quantities are ratios? |
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Post #Akmmqs0HO8qYxM0luq by [email protected] |
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@johncarlosbaez : Right. Euclid writes about ratios between geometric magnitu… |
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Post #AkmtUjt7a2AJ5x3d2m by [email protected] |
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@uffe1974 - sometimes mathematicians do that, but not always enough. You mig… |
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Post #AknBCCeEE5DDxsP14C by [email protected] |
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@pozorvlak - neat! |
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Post #AknGfXfldQRtLBvouW by [email protected] |
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@johncarlosbaez @TobyBartels This stuff is discussed in David Fowler’s book, … |
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Post #AkowWsrbrtkVgqz78S by [email protected] |
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@johncarlosbaez Found ithttps://themathematicaltourist.wordpress.com/2014/05/24… |
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Post #AkowWsyLSr8Y1k8UdM by [email protected] |
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@dpiponi - interesting, thanks. Pretty sophisticated problem. |
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Post #Akw2Qoaao7EsWkEZ28 by [email protected] |
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@johncarlosbaez I couldn't resist referring to "quantum theory/mechani… |
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Post #Akw2QohKP4curdNwX2 by [email protected] |
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@KeithDevlin - sometimes giving way once makes it easier to resist later. |
