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.
Sentiment: NEGATIVE
The infinite in mathematics is alway unruly unless it is properly treated.
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.
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.
Mystery has its own mysteries, and there are gods above gods. We have ours, they have theirs. That is what's known as infinity.
Mathematics cannot handle physical quantities like density that literally go to infinity.
Human beings cannot comprehend very large or very small numbers. It would be useful for us to acknowledge that fact.
It has long been an axiom of mine that the little things are infinitely the most important.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
Infinity is a way to describe the incomprehensible to the human mind. In a way, it notates a mystery. That kind of mystery exists in relationships. A lifetime is not enough to know someone else. It provides a brief glimpse.
All we know is still infinitely less than all that remains unknown.