
“When no point of a line is at a finite distance, the line itself is at an infinite distance.”
Brouillion project (1639) as quoted by Harold Scott MacDonald Coxeter, Projective Geometry (1987)
“When no point of a line is at a finite distance, the line itself is at an infinite distance.”
Brouillion project (1639) as quoted by Harold Scott MacDonald Coxeter, Projective Geometry (1987)
“It is hard to be finite upon an infinite subject, and all subjects are infinite.”
Hawthorne and His Mosses (1850)
“For how shall the finite comprehend the infinite?”
George Boole, An Investigation of the Laws of Thought (1854) Ch. 13. Clarke and Spinoza, pp. 216-217. https://books.google.com/books?id=DqwAAAAAcAAJ&pg=PA216
Context: It is not possible, I think, to rise from the perusal of the arguments of Clark and Spinoza without a deep conviction of the futility of all endeavors to establish, entirely à priori, the existence of an Infinite Being, His attributes, and His relation to the universe. The fundamental principle of all such speculations, viz. that whatever we can clearly conceive, must exist, fails to accomplish its end, even when its truth is admitted. For how shall the finite comprehend the infinite? Yet must the possibility of such conception be granted, and in something more than the sense of a mere withdrawal of the limits of phænomal existence, before any solid ground can be established for the knowledge, à priori, of things infinite and eternal.
“The infinite of the soul is mightier than the finite in it.”
Source: The Limits of Evolution, and Other Essays, Illustrating the Metaphysical Theory of Personal Ideaalism (1905), The Harmony of Determinism and Freedom, p.373
The Ethic of Freethought (Mar 6, 1883)
“The Infinite alone exists and is Real; the finite is passing and false.”
43 : Toys in the Divine Game, p. 70.
The Everything and the Nothing (1963)
Context: The Infinite alone exists and is Real; the finite is passing and false.
The Original Whim in the Beyond caused the apparent descent of the Infinite into the realm of the seeming finite. This is the Divine Mystery and Divine Game in which Infinite Consciousness for ever plays on all levels of finite consciousness.
“The world's nature is a harmonious compound of infinite and finite elements”
The Life of Pythagoras (1919)
Context: Fragment 1. (Stob.21.7; Diog.#.8.85) The world's nature is a harmonious compound of infinite and finite elements; similar is the totality of the world in itself, and of all it contains.
b. All beings are necessarily finite or infinite, or simultaneously finite and infinite; but they could not all be infinite only.
“Think of something finite molded into the infinite, and you think of man.”
Denke dir ein Endliches ins Unendliche gebildet, so denkst du einen Menschen.
“Selected Ideas (1799-1800)”, Dialogue on Poetry and Literary Aphorisms, Ernst Behler and Roman Struc, trans. (1968) #98