„Neither the circle without the line, nor the line without the point, can be artificially produced. It is, therefore, by virtue of the point and the Monad that all things commence to emerge in principle.
That which is affected at the periphery, however large it may be, cannot in any way lack the support of the central point.“

— John Dee, Theorem II
John Dee photo
John Dee
1527 - 1608

Citações relacionadas

 Proclus photo
John Dee photo
Nicole Oresme photo
Wassily Kandinsky photo
Michael Collins (Irish leader) photo
Richard Dedekind photo
Leonardo Da Vinci photo

„A point is not part of a line.“

— Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519

„The relationship of point to line“

— Morris Kline American mathematician 1908 - 1992
Context: The relationship of point to line bothered the Greeks and led Aristotle to separate the two. Though he admits points are on lines, he says that a line is not made up of points and that the continuous cannot be made up of the discrete. This distinction contributed also to the presumed need for separating number from geometry, since to the Greeks numbers were discrete and geometry dealt with continuous magnitudes. p. 176

Hans Reichenbach photo
Friedrich Nietzsche photo

„In Christianity neither morality nor religion come into contact with reality at any point.“

— Friedrich Nietzsche German philosopher, poet, composer, cultural critic, and classical philologist 1844 - 1900
Sec. 16

Leonardo Da Vinci photo
Girard Desargues photo

„When no point of a line is at a finite distance, the line itself is at an infinite distance.“

— Girard Desargues French mathematician and engineer 1591 - 1661
Brouillion project (1639) as quoted by , Projective Geometry (1987)

Charles Sanders Peirce photo

„These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads.“

— Charles Sanders Peirce American philosopher, logician, mathematician, and scientist 1839 - 1914
Context: As the mathematics are now understood, each branch — or, if you please, each problem, — is but the study of the relations of a collection of connected objects, without parts, without any distinctive characters, except their names or designating letters. These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads. The relations between these points are mere complications of two different kinds of elementary relations, which may be termed immediate connection and immediate non-connection. All the monads except as serve as intermediaries for the connections have distinctive designations. p. 268

E. W. Hobson photo