A Quote by Morris Kline

Mathematics is a body of knowledge, but it contains no truths.

Morris Kline

Quote Topics

Body Contains Knowledge Mathematics Truths

Quote Author

Morris Kline
American - Writer
May 1, 1908 - June 10, 1992

Pure mathematics offers no mercenary inducements to its followers, who is attracted to it by the importance and beauty of the truths in contains; and the complete absence of any material advantage to be gained by means of it, adds perhaps another charm to its study.

James Whitbread Lee Glaisher

There are only two kinds of certain knowledge: Awareness of our own existence and the truths of mathematics.

Jean le Rond d'Alembert

The word philosophy, as distinguished from science, is misleading, for it implies that what philosophy contains is impossible to be a systematic body of knowledge and what science contains is certain or proved.

Kedar Joshi

Belief contains so many truths pertaining to God's Names and the realities contained in the universe that the most perfect science, knowledge, and virtue is belief and knowledge of God originating in a belief based on argument and investigation.

Said Nursi

Outside of mathematics and logic, there are common sense truths, such as that it is snowing that normal observers, in a specified context can agree on, subject to vagueness considerations, and theoretical truths, such as that snow is crystallised water vapour, and maybe in-between truths.

Catherine Wilson

Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional. In E. T. Bell Men of Mathematics, New York: Simona and Schuster, 1937.

Charles Proteus Steinmetz

One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman quality of starlight - brilliant, sharp but cold ... thus we are clearest where knowledge matters least: in mathematics, especially number theory.

Hermann Weyl

Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical text, one can get an output text which seemingly carries new knowledge. The basic examples are furnished by scientific or technological calculations: general laws plus initial conditions produce predictions, often only after time-consuming and computer-aided work. One can say that the input contains an implicit knowledge which is thereby made explicit.

Yuri Manin

A body of work may be reviled - mostly by those who have no knowledge of its workings - and yet still carry elements of what can only be considered eternal truths.

Charles de Lint

Mathematics is one of the surest ways for a man to feel the power of thought and the magic of the spirit. Mathematics is one of the eternal truths and, as such, raises the spirit to the same level on which we feel the presence of God.

Julio Cesar de Mello e Souza

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.

Paul Halmos

Like a stool which needs three legs to be stable, mathematics education needs three components: good problems, with many of them being multi-step ones, a lot of technical skill, and then a broader view which contains the abstract nature of mathematics and proofs. One does not get all of these at once, but a good mathematics program has them as goals and makes incremental steps toward them at all levels.

Richard Askey

The point of mathematics is that in it we have always got rid of the particular instance, and even of any particular sorts of entities. So that for example, no mathematical truths apply merely to fish, or merely to stones, or merely to colours. So long as you are dealing with pure mathematics, you are in the realm of complete and absolute abstraction. . . . Mathematics is thought moving in the sphere of complete abstraction from any particular instance of what it is talking about.

Alfred North Whitehead

The word "mathematics" is a Greek word and, by origin, it means "something that has been learned or understood," or perhaps "acquired knowledge," or perhaps even, somewhat against grammar, "acquirable knowledge," that is, "learnable knowledge," that is, "knowledge acquirable by learning."

Salomon Bochner

The soul is the ego, the ‘I,’ or the self, and it contains our consciousness. It also animates our body. That’s why when the soul leaves the body, the body becomes a corpse. The soul is immaterial and distinct from the body.