Mathematics cannot handle physical quantities like density that literally go to infinity.
Sentiment: NEGATIVE
The infinite in mathematics is alway unruly unless it is properly treated.
Don't use words too big for the subject. Don't say 'infinitely' when you mean 'very'; otherwise you'll have no word left when you want to talk about something really infinite.
Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity.
The limits of the possible can only be defined by going beyond them into the impossible.
To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.
I am incapable of conceiving infinity, and yet I do not accept finity.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
The only way to discover the limits of the possible is to go beyond them into the impossible.
Most people don't have time to master the very mathematical details of theoretical physics.
Mathematics is a place where you can do things which you can't do in the real world.
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