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.
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… - Doron Zeilberger
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…
- Doron Zeilberger
Programming is much much harder than doing mathematics. - Doron Zeilberger
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. - Doron Zeilberger
Regardless of whether or not God exists, God has no place in mathematics, at least in my book.
Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful. - Doron Zeilberger
Mathematics my foot! Algorithms are mathematics too, and often more interesting and definitely more useful.
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 large… - Doron Zeilberger
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 large…
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 t… - Doron Zeilberger
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 t…
Conventional wisdom, fooled by our misleading "physical intuition", is that the real world is "continuous", and that discrete models are necessary ev… - Doron Zeilberger
Conventional wisdom, fooled by our misleading "physical intuition", is that the real world is "continuous", and that discrete models are necessary ev…
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 fr… - Doron Zeilberger
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 fr…
The 'lowly' finite is MUCH more beautiful than any 'infinite' - Doron Zeilberger
The 'lowly' finite is MUCH more beautiful than any 'infinite'
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