I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.
Sentiment: NEGATIVE
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
You don't have to be a mathematician to have a feel for numbers.
We have overcome the notion that mathematical truths have an existence independent and apart from our own minds. It is even strange to us that such a notion could ever have existed.
The infinite in mathematics is alway unruly unless it is properly treated.
I love the idea of numerology, but I don't really believe in it. But I like thinking about what numbers convey.
Without troublesome work, no one can have any concrete, full idea of what pure mathematical research is like or of the profusion of insights that can be obtained from it.
Human beings cannot comprehend very large or very small numbers. It would be useful for us to acknowledge that fact.
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.
I dislike math, yet I respect and appreciate the fact that math is the language of the universe.
It is comforting to reflect that the disproportion of things in the world seems to be only arithmetical.