"The best way to learn a topic is by teaching it. Similarly the best way to understand a new proof is by writing an expository article about it."

“Programming is much much harder than doing mathematics.”

“Regardless of whether or not God exists, God has no place in mathematics, at least in my book.”

“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.”

“Math is perfect , but mathematicians are not , hence the mathematics that mathematicians do is influenced by the weltanschauung of the people around them.”

“Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful.”

“Let me also remind you that zero, like all of mathematics, is fictional and an idealization. It is impossible to reach absolute zero temperature or to get perfect vacuum. Luckily, mathematics is a fairyland where ideal and fictional objects are possible.”