The Fabric of Reality (1997)
“The subject matter of mathematics has increased so rapidly and extensively that there is some element of truth in maintaining that mathematics is not so much a subject as a way of studying any subject, not so much a science as a way of life. We turn, then, from the attempt to characterize the material object of mathematics to an attempt to determine its formal object, i. e., its methodology.”
100 Years of Mathematics: a Personal Viewpoint (1981)
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George Frederick James Temple 21
British mathematician 1901–1992Related quotes
§ 2.
Linear Associative Algebra (1882)
Context: The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
Karl Wilhelm Friedrich Schlegel
(1772–1829) German poet, critic and scholar
Philosophy of Life, Lecture 1
Rudolf Carnap
(1891–1970) German philosopher
Rudolf Carnap (1939; 51), as cited in: Paul van Ulsen. Wetenschapsfilosofie http://www.illc.uva.nl/Research/Publications/Inaugurals/IV-10-Arend-Heyting.text.pdf, 6 november 2017.
Richard Hamming
(1915–1998) American mathematician and information theorist
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
“We speak of the matter [of this science] in the sense of its being what the science is about. This is called by some the subject of the science, but more properly it should be called its object, just as we say of a virtue that what it is about is its object, not its subject. As for the object of the science in this sense, we have indicated above that this science is about the transcendentals. And it was shown to be about the highest causes. But there are various opinions about which of these ought to be considered its proper object or subject. Therefor, we inquire about the first. Is the proper subject of metaphysics being as being, as Avicenna claims, or God and the Intelligences, as the Commentator, Averroes, assumes.”
loquimur de materia "circa quam" est scientia, quae dicitur a quibusdam subiectum scientiae, uel magis proprie obiectum, sicut et illud circa quod est uirtus dicitur obiectum uirtutis proprie, non subiectum. De isto autem obiecto huius scientiae ostensum est prius quod haec scientia est circa transcendentia; ostensum est autem quod est circa altissimas causas. Quod autem istorum debeat poni proprium eius obiectum, uariae sunt opiniones. Ideo de hoc quaeritur primo utrum proprium subiectum metaphysicae sit ens in quantum ens (sicut posuit Auicenna) uel Deus et Intelligentiae (sicut posuit Commentator Auerroes.)
Duns Scotus
(1265–1308) Scottish Franciscan friar, philosopher and Catholic blessed
Quaestiones subtilissimae de metaphysicam Aristotelis, as translated in: William A. Frank, Allan Bernard Wolter (1995) Duns Scotus, metaphysician. p. 20-21
Anthony Burgess
(1917–1993) English writer
Non-Fiction, English Literature: A Survey for Students (1958, revised 1974)
Michael Faraday
(1791–1867) English scientist
Letter to James Clerk Maxwell (25 March 1857), commenting on Maxwell's paper titled "On Faraday's Lines of Force"; letter published in The Life of James Clerk Maxwell: With Selections from His Correspondence (1884), edited by Lewis Campbell and William Garnett, p. 200; also in Coming of Age in the Milky Way (2003) by Timothy Ferris, p. 186
Thomas Nagel
(1937) American philosopher
"Subjective and Objective," in Mortal Questions, Cambridge University Press, 1979, p. 196.