On 10/13/2013 11:33 PM, fom wrote: > On 10/13/2013 9:01 PM, Hetware wrote: > > <ignored exposition snipped> > >> >> Or I just assert that the function which is defined everywhere except >> where there is a removable discontinuity is continuous, and everything >> else falls in to place. >> >> The statement "Let f(t) be a continuous function for all real numbers t" >> has a concise meaning. > > ... for a hypothetical function *assumed* to be properly defined. > > With regard to the first statement, I concede that it can > be true in certain cases. Here is a good example: > > http://www.youtube.com/watch?v=j-zczJXSxnw > > http://aapt.org/Store/upload/tacoma_narrows2.pdf > > Page 15 is worth the read.
The point is, don't just take the word of an expert. If you aren't convinced by your own reasoning and analysis, keep digging.