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.
Sentiment: NEGATIVE
Mathematics is a place where you can do things which you can't do in the real world.
For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.
Mathematics is written for mathematicians.
It is not of the essence of mathematics to be conversant with the ideas of number and quantity.
Mathematics is the art of giving the same name to different things.
If indeed, as Hilbert asserted, mathematics is a meaningless game played with meaningless marks on paper, the only mathematical experience to which we can refer is the making of marks on paper.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
Mathematics is, as it were, a sensuous logic, and relates to philosophy as do the arts, music, and plastic art to poetry.