# „If there is some determinate succession of defined whole real numbers, among which there exists no greatest, on the basis of this second principle of generation a new number is obtained which is regarded as the limit of those numbers, i. e. is defined as the next greater number than all of them.“

## Podobné citáty

### „The secret of success is to offend the greatest number of people.“

— George Bernard Shaw Irish playwright 1856 - 1950

As quoted in Days with Bernard Shaw (1949) by Stephen Winsten

### „I regard the whole of arithmetic as a necessary, or at least natural, consequence of the simplest arithmetic act, that of counting, and counting itself as nothing else than the successive creation of the infinite series of positive integers in which each individual is defined by the one immediately preceding; the simplest act is the passing from an already-formed individual to the consecutive new one to be formed. The chain of these numbers forms in itself an exceedingly useful instrument for the human mind; it presents an inexhaustible wealth of remarkable laws obtained by the introduction of the four fundamental operations of arithmetic.“

— Richard Dedekind German mathematician 1831 - 1916

p, 125

### „There must be times, in the world of business, when two Peale-powered personalities find themselves in opposition. Number One is determined to achieve success by selling Number Two a great gross of non-molting dust mops; Number Two is equally determined not to have the mops. Both have affirmed an equal number of times that he can do all things through Christ which strengtheneth him. What happens? Theologians will scratch their heads over this, and Immensity itself may feel a tremor.“

— Robertson Davies Canadian journalist, playwright, professor, critic, and novelist 1913 - 1995

### „What I have learned, above all, is to keep marching forward because the best news is that since chance does play a role, one important factor in success is under our control: the number of at bats, the number of chances taken, the number of opportunities seized.“

— Leonard Mlodinow American physicist, author and screenwriter 1954

Chapter 10, The Drunkard's Walk, p. 217

### „The basis of successful relief in national distress is to mobilize and organize the infinite number of agencies of self help in the community. That has been the American way.“

— Herbert Hoover 31st President of the United States of America 1874 - 1964

### „Success, in life, is most easily measured by the number of days you are truly happy.“

— Eric Edmeades Canadian businessman 1970

Article=Success Express Journal: Volume 3, Issue 1 – November 1995 http://sejarchives.wordpress.com/1995/11/01/sej-volume-3-issue-1/

### „The success of any great moral enterprise does not depend upon numbers.“

— William Lloyd Garrison American journalist 1805 - 1879

Vol. III, p. 473 - I have read this page twice and cannot find this quote.

### „Discipline is the soul of an army. It makes small numbers formidable; procures success to the weak, and esteem to all.“

— George Washington first President of the United States 1732 - 1799

Letter of Instructions to the Captains of the Virginia Regiments (29 July 1759)

### „The method applied by Newton to the grounding of the Infinitesimal Calculus, and which since the beginning of this century has been recognised by the best mathematicians as the only one that furnishes sure results, is the method of limits. The method consists in this, viz., instead of considering a continuous transition from one value of a quantity to another, from one position to another, or, speaking generally, from one determination of a concept to another, one considers in the first place a transition through a finite number of intervals and then allows the number of these intervals to increase so that the distances of two successive points of division all decrease infinitely.“

— Bernhard Riemann German mathematician 1826 - 1866

General Relation of the Concept System of Thesis and Antithesis

### „Since as we have seen the entrepreneurial qualification is something which, like many other qualities, is distributed in an ethnically homogeneous group according to the law of error, the number of individuals who satisfy progressively diminishing standards in this respect continually increases. Hence, neglecting exceptional cases — of which the existence of a few Europeans in a negro population would be an example — with the progressive lightening of the task continually more people can and will become entrepreneurs, wherefore the successful appearance of an entrepreneur is followed by the appearance not simply of some others, but of ever greater numbers, though progressively less qualified.“

— Joseph Alois Schumpeter Austrian economist 1883 - 1950

### „A person's success in life can usually be measured by the number of uncomfortable conversations he or she is willing to have.“

— Timothy Ferriss American author, entrepreneur, angel investor and public speaker 1977

### „A new point is determined in Euclidean Geometry exclusively in one of the three following ways:

Having given four points A, B, C, D, not all incident on the same straight line, then

(1) Whenever a point P exists which is incident both on (A, B) and on (C, D), that point is regarded as determinate.

(2) Whenever a point P exists which is incident both on the straight line (A, B) and on the circle C(D), that point is regarded as determinate.

(3) Whenever a point P exists which is incident on both the circles A(B), C(D), that point is regarded as determinate.

The cardinal points of any figure determined by a Euclidean construction are always found by means of a finite number of successive applications of some or all of these rules (1), (2) and (3). Whenever one of these rules is applied it must be shown that it does not fail to determine the point. Euclid's own treatment is sometimes defective as regards this requisite.

In order to make the practical constructions which correspond to these three Euclidean modes of determination, correponding to (1) the ruler is required, corresponding to (2) both ruler and compass, and corresponding to (3) the compass only.

… it is possible to develop Euclidean Geometry with a more restricted set of postulations. For example it can be shewn that all Euclidean constructions can be carried out by means of (3) alone…“

— E. W. Hobson British mathematician 1856 - 1933

pp. 7-8

### „To those privileged ones -- among whom we count ourselves -- the high-resounding "isms" to which their contemporaries ask them to give their allegiance are all equally futile: bound to be betrayed, defeated, and finally rejected by men at large, if containing anything really noble; bound to enjoy, for the time being, some sort of noisy success, if sufficiently vulgar, pretentious, and soul-killing to appeal to the growing number of mechanically conditioned slaves that crawl about our planet, posing as free men; all destined to prove, ultimately, of no avail.“

— Savitri Devi Greek–French writer 1905 - 1982

The Lightning and the Sun (Calcutta: Temple Press, 1958, p. 3, http://www.vaidilute.com/books/savitri/savitri-01.html)

### „And as I said last night, my number one priority in the coming two months is to try to facilitate a transition that ensures our president-elect is successful.“

— Barack Obama 44th President of the United States of America 1961