On 10/7/2013 7:54 PM, Hetware wrote: > On 10/7/2013 9:36 AM, Peter Percival wrote: >> Hetware wrote: >>>> >>> >>> It does me no good to simply accept what someone tells me without being >>> able to derive it in some sense from first principles. >> >> Good luck with that. What are those first principles? Is it set >> theory? If so, are the axiom what someone else tells us they are? If >> no, what? >> > > They are the axioms I assume, and hopefully those others agree upon. But > that is often far from clear upon careful examination.
How does a thread on a simple calculus question devolve into questions of first principles?
The textbooks I have usually have a short, and often ignored section on looking for critical points and points associated with indeterminate forms as part of the problem solving procedure.
Then any solution set obtained through mere algebraic manipulation should be checked against those points.
It is not as exciting as first principles, but it helps when solving problems.