It is hard to know what you are talking about in mathematics, yet no one questions the validity of what you say. There is no other realm of discourse half so queer.
Sentiment: NEGATIVE
Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
The mathematics is not there till we put it there.
Pure mathematics is, in its way, the poetry of logical ideas.
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.
Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry.
Mathematics has beauty and romance. It's not a boring place to be, the mathematical world. It's an extraordinary place; it's worth spending time there.
Mathematics allows for no hypocrisy and no vagueness.
My own suspicion is that the universe is not only queerer than we suppose, but queerer than we can suppose.
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.
No opposing quotes found.