Warning: Undefined array key "visitor_referer_type" in /var/www/vhosts/wordinf.com/core/app/libraries/Core.php on line 98
Arbitrary Quotes - page 9 - Quotesdtb.com
Arbitrary Quotes - page 9
I stand at the window and see a house, trees, sky.
Theoretically I might say there were 327 brightnesses and nuances of colour. Do I have "327"? No. I have sky, house, and trees. It is impossible to achieve "327 " as such. And yet even though such droll calculation were possible and implied, say, for the house 120, the trees 90, the sky 117 -- I should at least have this arrangement and division of the total, and not, say, 127 and 100 and 100; or 150 and 177.
The concrete division which I see is not determined by some arbitrary mode of organization lying solely within my own pleasure; instead I see the arrangement and division which is given there before me. And what a remarkable process it is when some other mode of apprehension does succeed! I gaze for a long time from my window, adopt after some effort the most unreal attitude possible. And I discover that part of a window sash and part of a bare branch together compose an N.
Max Wertheimer
The chief innovator of symbolism in algebra was François Viète... an amateur in the sense that his professional life was devoted to the law... John Wallis... says that Viète, in denoting a class of numbers by a letter, followed the custom of lawyers who discussed legal cases by using arbitrary names [for the litigants]... and later the abbreviations... and still more briefly A, B, and C. Actually, letters had been used occasionally by the Greek Diophantus and by the Hindus. However, in these cases letters were confined to designating a fixed unknown number, powers of that number, and some operations. Viète recognized that a more extensive use of letters, and, in particular, the use of letters to denote classes of numbers, would permit the development of a new kind of mathematics; this he called logistica speciosa in distinction from logistica numerosa.
Morris Kline
Modern imperialism finds its ideological justification in the now fashionable linguistic philosophy which either regards all meanings as wholly arbitrary (e. g., Quine, White, Goodman, etc.), or reduces them to the facticity of everyday discourse (e. g., Wittgenstein, Austin, etc.). In this fashion, all meanings are either equally unfounded, or they can be founded only in the domain of the given. In either case, imperialism is implicitly justified, for, in the first case it is regarded as at least as rational a system as any other, thus neutralizing any possible rational arguments for its debunking, or else, in the second case, since all meanings reduce to the given and the given is, in fact, imperialist, imperialism itself becomes the criterion of all meaningfulness.
Silvia Federici