If you’re trying to do some problems with areas of circles, then you will not be distracted by your religious belief that pi is an evil number and cannot be the answer,
Not really. Everyone agrees that calculus can be done with infinitesimals, but most mathematicians think that doing it with limits forms a better basis for going on to real analysis and epsilon-delta proofs later.
That might actually have been a problem once. Apparently the Pythagoreans had serious problems with irrational numbers...
And current mathematician have them with infinitesimally small numbers ;)
Not really. Everyone agrees that calculus can be done with infinitesimals, but most mathematicians think that doing it with limits forms a better basis for going on to real analysis and epsilon-delta proofs later.
I don’t think modern mathematicians are going to drown someone for using infinitesimally small numbers...
Non-standard analysis is perfectly fine. Most mathematicians just don’t deal with that kind of analysis.