Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful.
Doron ZeilbergerNo Victor, you got it backwards, you should evaluate these integrals non-rigorously if you can, and rigorously if you must.
Doron ZeilbergerConventional wisdom, fooled by our misleading "physical intuition", is that the real world is "continuous", and that discrete models are necessary evils for approximating the "real" world, due to the innate discreteness of the digital computer.
Doron ZeilbergerThe real work of us mathematicians, from now until, roughly, fifty years from now, when computers won't need us anymore, is to make the transition from human-centric math to machine-centric math as smooth and efficient as possible.
Doron Zeilberger