A Quote by Bernard Bolzano

My special pleasure in mathematics rested particularly on its purely speculative part.

Bernard Bolzano

Quote Topics

Mathematics Part Particularly Pleasure Purely Rested Special Speculative

Quote Author

Bernard Bolzano
Italian - Mathematician
October 5, 1781 - December 18, 1848

Masonic ideas are the precious jewels of Speculative Masons; the should be kept bright and sparkling for all the brethren to see and to admire. As such, they should be the special care of Masonic leaders particularly those who teach and interpret the philosophy of Freemasonry.

Benjamin Franklin

...the source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly generality is, in essence, the same as a small and concrete special case.

Paul Halmos

To exist (in mathematics), said Henri Poincaré, is to be free from contradiction. But mere existence does not guarantee survival. To survive in mathematics requires a kind of vitality that cannot be described in purely logical terms.

Mark Kac

Stock market corrections, although painful at the time, are actually a very healthy part of the whole mechanism, because there are always speculative excesses that develop, particularly during the long bull market.

Ron Chernow

Here is a quilted book about mathematical practice, each patch wonderfully prepared. Part invitation to number theory, part autobiography, part sociology of mathematical training, Mathematics without Apologies brings us into contemporary mathematics as a living, active inquiry by real people. Anyone wanting a varied, cultured, and penetrating view of today's mathematics could find no better place to engage.

Peter Galison

The inborn instability of capitalism has been part of the history of the system for several hundred years, including recurrent speculative episodes. There should be no doubt in anyone's mind that we're now having another one of those speculative episodes.

John Kenneth Galbraith

Mathematics is ordinarily considered as producing precise and dependable results; but in the stock market the more elaborate and abstruse the mathematics the more uncertain and speculative are the conclusions we draw there from. Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment.

Benjamin Graham

Scottish operative lodges began in the seventeenth century to admit non-operative members as accepted or gentleman masons and that by the early eighteenth century in some lodges the accepted or gentleman masons had gained the ascendancy: those lodges became, in turn speculative lodges, whilst others continued their purely operative nature. The speculative lodges eventually combined to form the Grand Lodge of Scotland in 1736.

John Hamill

An early fascination with higher mathematics at the university level blossomed into speculative thinking that could provide a basis for dealing with economic issues.

Lawrence R. Klein

Working on the ABC movie 'Don't Look Back: The Story of Leroy 'Satchel' Paige,'' which we filmed in Hattiesburg, Mississippi, was a special pleasure, particularly because I'd played baseball in high school.

Louis Gossett, Jr.

Mathematics has not a foot to stand upon which is not purely metaphysical.

Thomas de Quincey

Mathematics is purely hypothetical: it produces nothing but conditional propositions.

Charles Sanders Peirce

It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, "Economics is what economists do," and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.

Kenneth E. Boulding

[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

We can... treat only the geometrical aspects of mathematics and shall be satisfied in having shown that there is no problem of the truth of geometrical axioms and that no special geometrical visualization exists in mathematics.