A Quote by Tobias Dantzig
And so matching by itself is incapable of creating an art of reckoning. Without our ability to arrange things in ordered succession little progress could have been made. Correspondence and succession, the two principles that permeate all mathematics - nay, all realms of exact thought - are woven into the very fabric of our number system.
Related Quotes
...and the red sun of desire and decision (the two things that create a live world) rose higher and higher, while upon a succession of balconies a succession of libertines, sparkling glass in hand, toasted the bliss of past and future nights.
Time has two aspects. There is the arrow, the running river, without which there is no change, no progress, or direction, or creation. And there is the circle or the cycle, without which there is chaos, meaningless succession of instants, a world without clocks or seasons or promises.
If you ask ... the man in the street ... the human significance of mathematics, the answer of the world will be, that mathematics has given mankind a metrical and computatory art essential to the effective conduct of daily life, that mathematics admits of countless applications in engineering and the natural sciences, and finally that mathematics is a most excellent instrumentality for giving mental discipline... [A mathematician will add] that mathematics is the exact science, the science of exact thought or of rigorous thinking.
I believe that in the history of art and of thought there has always been at every living moment of culture a will to renewal. This is not the prerogative of the last decade only. All history is nothing but a succession of crises - of rupture, repudiation and resistance. When there is no crisis, there is stagnation, petrifaction and death. All thought, all art is aggressive.
As the strata of the earth preserve in succession the living creatures of past epochs, so the shelves of libraries preserve in succession the errors of the past and their expositions, which like the former were very lively and made a great commotion in their own age but now stand petrified and stiff in a place where only the literary palaeontologist regards them.
Ideas which have been developed simultaneously or in immediate succession in the same mind mutually reproduce each other, and do this with greater ease in the direction of the original succession and with a certainty proportional to the frequency with which they were together
Ideas which have been developed simultaneously or in immediate succession in the same mind mutually reproduce each other, and do this with greater ease in the direction of the original succession and with a certainty proportional to the frequency with which they were together.
We were so wholly one I had not thought That we could die apart. I had not thought That I could move,—and you be stiff and still! That I could speak,—and you perforce be dumb! I think our heart-strings were, like warp and woof In some firm fabric, woven in and out; Your golden filaments in fair design Across my duller fibre.
I think every responsible public board at every board meeting should be discussing succession. And, of course, Walmart has a very mature board: our chairman Rob Walton and other members. So succession is an ongoing. I think when I first joined the board of directors, it was discussed then. And it's discussed at every board meeting continually.
As in the fine arts, the progress of mankind from barbarism to civilisation is marked by a gradual succession of triumphs over the rude materialities of nature, so in the art of cookery is the progress gradual from the earliest and simplest modes, to those of the most complicated and refined.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.
Why should it be thought incredible that the same soul should inhabit in succession an indefinite number of moral bodies? Even during this one life our bodies are perpetually changing, through a process of decay and restoration; which is so gradual that it escapes our notice. Every human being thus dwells successively in many bodies, even during one short life.
By centering our lives on correct principles and creating a balanced focus between doing and increasing our ability to do, we become empowered to the task of creating effective useful and peaceful lives.
I'm going to be working the next 25 or 30 years. People like me, if we want, number one, for no benefit reductions for our parents and our grandparents, number two, for the system to survive and exist for us, and, more importantly, number three, for the system to exist for us children, we are going to have to make reforms to that system.
We see not only thought as participating in evolution as an anomaly or as an epiphenomenon; but evolution as so reducible to and identifiable with a progress towards thought that the movement of our souls expresses and measures the very stages of progress of evolution itself. Man discovers that he is nothing else than evolution become conscious of itself.
The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists of the analysis of Symbolic Logic itself.
Related Authors
Ada Lovelace Quotes
English
Mathematician
Alfred North Whitehead Quotes
English
Mathematician
Benoit Mandelbrot Quotes
French
Mathematician
Carl Friedrich Gauss Quotes
German
Mathematician
Charles Babbage Quotes
English
Mathematician
David Hilbert Quotes
German
Mathematician
G. H. Hardy Quotes
British
Mathematician
George Polya Quotes
Hungarian
Mathematician
Hannah Fry Quotes
English
Mathematician
Henri Poincare Quotes
French
Mathematician
Isaac Barrow Quotes
English
Mathematician
Isaac Newton Quotes
English
Mathematician
Norbert Wiener Quotes
American
Mathematician
Pythagoras Quotes
Greek
Mathematician
Rene Descartes Quotes
French
Mathematician
Seymour Papert Quotes
American
Mathematician