Timeline for Should we teach abstract affine spaces?
Current License: CC BY-SA 3.0
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Apr 3, 2015 at 8:01 | comment | added | Benoît Kloeckner | @LSpice: sure, there is no such logical implication. But that the first really satisfying answer to my second question I've seen is so high-level is an evidence of my point, which is that affine subspaces of vector spaces cover most if not all undergrad examples (from which I tend to conclude that teaching abstract affine spaces might be uncalled for). | |
Apr 2, 2015 at 22:56 | comment | added | LSpice | @BenoîtKloeckner, an honest question that is not meant to be rude: what is your point about undergraduate education? Is it the general point that undergraduate education focusses too much on abstract theories at the expense of understanding of examples, or the specific point that there are no 'natural' undergraduate examples of affine spaces? If the latter, then surely the existence of one *non-*undergraduate example does not imply the *non-*existence of an undergraduate example! | |
Apr 2, 2015 at 20:38 | comment | added | Benoît Kloeckner | Nice one. This both answers my second question, and kind of makes my point as far as undergrad education is concerned. | |
Apr 2, 2015 at 16:56 | history | answered | Andreas Blass | CC BY-SA 3.0 |