Method
Prime number theorem
Overview
theorem in number theory
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Possible passages
Found by search and not yet checked by a person; they may only mention the idea in passing.
We saw its results in such geometries as Hilbert's and Peano's, where the empty name "entity" supplants the more concrete "point," and the "1" of arithmetic has the same character. In the social sciences, however, such examples as the "political" and the "economic" man are signal failures, while, perhaps, the "atom" and the "electron" approach the ideal in physics and chemistry. In mathematics, all further concepts…
John Dewey, Creative Intelligence
Close in meaning to Prime number theorem; the term itself is not named.
This, to any one who knows M. Comte in his later aspects, is amply sufficient. Nothing can exceed his delight in anything which says to the human mind, Thus far shalt thou go and no farther. If prime numbers are precious, doubly prime numbers are doubly so; meaning those which are not only themselves prime numbers, but the number which marks their place in the series of prime numbers is a prime number. Still greater…
John Stuart Mill, Auguste Comte and Positivism
Close in meaning to Prime number theorem; the term itself is not named.
In the great majority of mathematical text-books there is a total lack of unity in method and of systematic development of a central theme. Propositions of very diverse kinds are proved by whatever means are thought most easily intelligible, and much space is devoted to mere curiosities which in no way contribute to the main argument. But in the greatest works, unity and inevitability are felt as in the unfolding of…
Bertrand Russell, Mysticism and Logic and Other Essays
Close in meaning to Prime number theorem; the term itself is not named.
Related ideas
- Springer Science+Business Media
- Integer
- Springer Publishing
- Mathematics
- Real number
- Probability
- Peano axioms
- Complex number
- Paul Erdős
- Carl Friedrich Gauss
- G. H. Hardy
Place in the tradition
Part of First-order logic.