Editing Talk:435: Purity
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See Comte's hierarchy of the sciences from [http://en.wikipedia.org/wiki/Law_of_three_stages his law of three stages]: Mathematics; Astronomy; Physics; Chemistry; Biology; Psychology; Sociology. --[[Special:Contributions/24.85.241.128|24.85.241.128]] 07:20, 3 December 2012 (UTC) | See Comte's hierarchy of the sciences from [http://en.wikipedia.org/wiki/Law_of_three_stages his law of three stages]: Mathematics; Astronomy; Physics; Chemistry; Biology; Psychology; Sociology. --[[Special:Contributions/24.85.241.128|24.85.241.128]] 07:20, 3 December 2012 (UTC) | ||
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In addition to Comte, Randall's tweaking P.W. Anderson's 1972 article "More Is Different." Anderson gives a similar list and then says "But this hierarchy does not imply that science X is "just applied Y*" [[Special:Contributions/108.162.219.202|108.162.219.202]] 22:47, 2 January 2014 (UTC) | In addition to Comte, Randall's tweaking P.W. Anderson's 1972 article "More Is Different." Anderson gives a similar list and then says "But this hierarchy does not imply that science X is "just applied Y*" [[Special:Contributions/108.162.219.202|108.162.219.202]] 22:47, 2 January 2014 (UTC) | ||
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==Math vs. Logic== | ==Math vs. Logic== | ||
It should be mentioned that Hofstadter's Gödel, Escher, Bach sets logic as being even more pure than mathematics. All mathematical systems can be derived given basic logical precepts. That is how many mathematical/geometrical proofs are structured. | It should be mentioned that Hofstadter's Gödel, Escher, Bach sets logic as being even more pure than mathematics. All mathematical systems can be derived given basic logical precepts. That is how many mathematical/geometrical proofs are structured. | ||
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