Editing Talk:1724: Proofs
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Judging from my experience when I first encountered proofs in math classes (or my general experience from math classes), the teacher is going to write down a "proof" which makes absolutely no sense to students and is also never explained in a way that actually makes them understand. Instead, they are just going to use "dark magic" and write what seems to be completely senseless to students. | Judging from my experience when I first encountered proofs in math classes (or my general experience from math classes), the teacher is going to write down a "proof" which makes absolutely no sense to students and is also never explained in a way that actually makes them understand. Instead, they are just going to use "dark magic" and write what seems to be completely senseless to students. | ||
[[Special:Contributions/141.101.91.223|141.101.91.223]] 04:24, 24 August 2016 (UTC) | [[Special:Contributions/141.101.91.223|141.101.91.223]] 04:24, 24 August 2016 (UTC) | ||
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Transcript generated by the BOT was murdering me, had to change it. Proposing miss Lenhart is party 1. [[User:EppOch|EppOch]] ([[User talk:EppOch|talk]]) 04:45, 24 August 2016 (UTC) | Transcript generated by the BOT was murdering me, had to change it. Proposing miss Lenhart is party 1. [[User:EppOch|EppOch]] ([[User talk:EppOch|talk]]) 04:45, 24 August 2016 (UTC) | ||
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:: Me to, but I am on mobile, so editing is a pain [[Special:Contributions/162.158.86.71|162.158.86.71]] 06:51, 24 August 2016 (UTC) | :: Me to, but I am on mobile, so editing is a pain [[Special:Contributions/162.158.86.71|162.158.86.71]] 06:51, 24 August 2016 (UTC) | ||
:: Done [[User:Elektrizikekswerk|Elektrizikekswerk]] ([[User talk:Elektrizikekswerk|talk]]) 08:26, 24 August 2016 (UTC) | :: Done [[User:Elektrizikekswerk|Elektrizikekswerk]] ([[User talk:Elektrizikekswerk|talk]]) 08:26, 24 August 2016 (UTC) | ||
− | :::Note that the BOT doesn't create any text - [http://www.explainxkcd.com/wiki/index.php?title=1724:_Proofs&oldid=125654 see here]. The transcript was made by several people. Agree completely that this is Miss Lenhart, but even if it was not "[http://www.explainxkcd.com/wiki/index.php?title=1724:_Proofs&direction=next&oldid=125660 party 1 and party 2]" is not the way to describe a woman with long blonde hair and Cueball ;-) There is at the moment [[explain_xkcd:Community_portal/Proposals#New_character_category_for_blonde_woman_news_reporter_.28from_1699.29|a discussion]] what to call other women looking like this (i.e. those that are not clearly Miss Lenhart, [[Mrs. Roberts]] or her daughter [[ | + | :::Note that the BOT doesn't create any text - [http://www.explainxkcd.com/wiki/index.php?title=1724:_Proofs&oldid=125654 see here]. The transcript was made by several people. Agree completely that this is Miss Lenhart, but even if it was not "[http://www.explainxkcd.com/wiki/index.php?title=1724:_Proofs&direction=next&oldid=125660 party 1 and party 2]" is not the way to describe a woman with long blonde hair and Cueball ;-) There is at the moment [[explain_xkcd:Community_portal/Proposals#New_character_category_for_blonde_woman_news_reporter_.28from_1699.29|a discussion]] what to call other women looking like this (i.e. those that are not clearly Miss Lenhart, [[Mrs. Roberts]] or her daughter [[Elaine Roberts]]). Chip in there if you have any opinions on that regard... --[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 11:01, 24 August 2016 (UTC) |
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:I agree. I read the title text in almost exactly the opposite way - that the proof relies on the existence of a deterministic process for selecting objects, and therefore the invocation of the axiom of choice as a part of the process is superfluous (but not a contradiction). Anyhow, the axiom of determinacy isn't ever mentioned, so it probably shouldn't be shoehorned in here. [[Special:Contributions/162.158.74.53|162.158.74.53]] 20:36, 24 August 2016 (UTC) | :I agree. I read the title text in almost exactly the opposite way - that the proof relies on the existence of a deterministic process for selecting objects, and therefore the invocation of the axiom of choice as a part of the process is superfluous (but not a contradiction). Anyhow, the axiom of determinacy isn't ever mentioned, so it probably shouldn't be shoehorned in here. [[Special:Contributions/162.158.74.53|162.158.74.53]] 20:36, 24 August 2016 (UTC) | ||
− | I feel like it is a stretch to assert Lenhart is setting up a proof by contradiction. It sounded to me more like an prior knowledge proof (not sure it's technical name). For example, "calculate the space between two concentric circles of differing diameter when the longest straight line you can draw is length d." If you assume there is a function F(r1, r2) which has been previously proven to calculate this space, then it is easy to show that the space is in fact .5*pi*(.5*d)^2 (as you have a degenerative case where r1=0, and you have an ordinary circle). I also think this type of proof is more "dark magic"-feeling than a simple proof by contradiction. | + | I feel like it is a stretch to assert Lenhart is setting up a proof by contradiction. It sounded to me more like an prior knowledge proof (not sure it's technical name). For example, "calculate the space between two concentric circles of differing diameter when the longest straight line you can draw is length d." If you assume there is a function F(r1, r2) which has been previously proven to calculate this space, then it is easy to show that the space is in fact .5*pi*(.5*d)^2 (as you have a degenerative case where r1=0, and you have an ordinary circle). I also think this type of proof is more "dark magic"-feeling than a simple proof by contradiction. |
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