I think all families are creepy in a way.
Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful.
The 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.
You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.
When a problem seems intractable, it is often a good idea to try to study "toy" versions of it in the hope that as the toys become increasingly larger and more sophisticated, they would metamorphose, in the limit, to the real thing.
No Victor, you got it backwards, you should evaluate these integrals non-rigorously if you can, and rigorously if you must.
Conventional 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.
When asked what he meant by a miracle: Oh, anything with a probability of less than 20%.
The first requisite for the happiness of the people is the abolition of religion.
I was just thinking about how my grandparents, who raised me, would be considered "white trash," whatever that means - mostly for being racists, I'd say. And how, as a child, I wanted to be like them, and identified with them culturally.
A lot of young people are very cynical about the political framework because they see the countries that preach democracy and human rights being countries largely responsible for the problems in their region.