Tobias Dantzig: Follower

Tobias Dantzig was American mathematician. Explore interesting quotes on follower.

Tobias Dantzig: 50 quotes0 likes

“The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. …The conic sections, invented in an attempt to solve the problem of doubling the alter of an oracle, ended by becoming the orbits followed by the planets… The imaginary magnitudes invented by Cardan and Bombelli describe… the characteristic features of alternating currents. The absolute differential calculus, which originated as a fantasy of Reimann, became the mathematical model for the theory of Relativity. And the matrices which were a complete abstraction in the days of Cayley and Sylvester appear admirably adapted to the… quantum of the atom.”

Number: The Language of Science (1930)

“Despite the vociferous claims of the Platonists and Neoplatonists, Plato was not a mathematician. To Plato and his followers mathematics was largely a means to an end… they viewed the technical aspects of mathematics as a mere device for sharpening one's wits, or at most a course of training peparatory to handling the larger issues of philosophy. This is reflected in the very name "mathematics,"… a course of studies or… a curriculum. …in the Dialogues… such topics as harmony, triangular numbers, figurate numbers… which we view today as more or less irrelevant, if not trivial, were taken up at length. …the guiding motive behind the… Pythagoreans and Platonists was… metaphysical …which for the nonprofessional have all the earmarks of the occult.”

...We also discover in the Pythagorean speculations more than a mere germ of... the scientific attitude.
The Bequest of the Greeks (1955)

“The preface to the French edition of that work contains the following passage: "To me the French edition of my work is not a mere translation, but a transcription of ideas into a language in which it should have been written in the first place… I proudly acknowledge… my master. His words are among the most brilliant recollections of my youth; his piercing wisdom and potent prose have inspired my efforts of a riper age. To the memory of Henri Poincaré, the intellectual giant who was the first to recognize the role which the idiosyncrasies of the race play in the evolution of scientific ideas, I dedicate this book.”

Preface
Henri Poincaré, Critic of Crisis: Reflections on His Universe of Discourse (1954)

“He was an iconoclast. But even in this category he defies classification. For, he fits no pattern, and is beyond all norm. He sought no followers, he shunned confederates, he hewed no tablets to replace those which he had shattered.”

Henri Poincaré, Critic of Crisis: Reflections on His Universe of Discourse (1954), Ch. 1. The Iconoclast