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You're then discussing math in terms of a set whose properties don't obviously match anything the student has dealt with. It needs to be established, one way or
by podperson 14y ago
You're then discussing math in terms of a set whose properties don't obviously match anything the student has dealt with. It needs to be established, one way or another, that adding infinitesimals etc. is not introducing new behavior.
- dllthomas 14y agoI don't see why that can't just be stated. Students need somewhere to start from, and there's plenty already that we say "trust us for now, we'll prove it later" - and it's not like the reals actually match anything the student has dealt with, at the corner cases, either...