Jim, In your essay it appears that your conclusions depend — as they certainly should — on the definition of the real numbers. But the main reference for that is "the number line", which does not seem to be defined. If the number line had infinitesimals, your conclusions would probably be different. —Dan
On Sep 17, 2015, at 5:12 AM, James Propp <jamespropp@gmail.com> wrote:
The final version of my essay "The One About .999..." is available at http://mathenchant.wordpress.com . I especially like the new graphic contributed by Li-Mei Lim.
I'd welcome comments in the Comments section; the blog has been too quiet. And surely the pedagogical aspects of the topic are subject to legitimate controversy. Do you think I'm wrong about the best way to deal with convergence confusion and decimal dissidence?
Jim _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun