THEY who are acquainted with the present state of the theory of Symbolical Algebra, are aware, that the validity of the processes of analysis does not depend upon the interpretation of the symbols which are employed, but solely upon the laws of their combination. Every system of interpretation which does not affect the truth of the relations supposed, is equally admissible, and it is thus that the same process may, under one scheme of interpretation, represent the solution of a question on the properties of numbers, under another, that of a geometrical problem, and under a third, that of a problem of dynamics or optics. This principle is indeed of fundamental importance; and it may with safety be affirmed, that the recent advances of pure analysis have been much assisted by the influence which it has exerted in directing the current of investigation.
George BooleRelated topics
affirmed algebra dynamics fundamental interpretation optics present problem pure question state third thus truth under validity relations LawsRelated quotes
More generally, the hidden variable account of a given system becomes entirely different when we remember that it has undoubtedly interacted with numerous other systems in the past and that the total wave function will certainly not be factorable. The same effect complicates the hidden variable account of the theory of measurement, when it is desired to include part of the 'apparatus' in the system. Bohm of course was well aware of these features of his scheme, and has given them much attention. However, it must be stressed that, to the present writer's knowledge, there is no proof that any hidden variable account of quantum mechanics must have this extraordinary character. It would therefore be interesting, perhaps, to pursue some further 'impossibility proofs,' replacing the arbitrary axioms objected to above by some condition of locality, or of separability of distant systems.
John Stewart Bell
During my controlled near-death experiences, I've met Sir Isaac Newton, who died back in 1727 as often as I've met Saint Peter. They both hang out at the Heaven end of the blue tunnel of the Afterlife. Saint Peter is there because it's his job. Sir Isaac is there because of his insatiable curiosity about what the blue tunnel is, how the blue tunnel works.
It isn't enough for Newton that during his eighty-five years on Earth he invented calculus, codified and quantified the laws of gravity, motion and optics, and designed the first reflecting telescope. He can't forgive himself for having left it to Darwin to come up with the theory of evolution, to Pasteur to come up with the germ theory, and to Albert Einstein to come up with relativity. "I must have been deaf, dumb, and blind not to have come up with those myself,” he said to me. "What could have been more obvious?”.
Kurt Vonnegut
With very slight straining of equivalents, Thomas might now be written thus:-
By the term God, is meant a Prime Mover which supplies all energy to the universe, and acts directly on man as well as on all other creatures, moving him as a mechanical motor might do; but man, being specially provided with an organism more complex than the organisms of other creatures, enjoys an exceptional capacity for reflex action,- a power of reflexion,- which enables him within certain limits to choose between paths; and this singular capacity is called free choice or free-will. Of course, the reflexion is not choice, and though a man's mind reflected as perfectly as the facets of a lighthouse lantern, it would never reach a choice without an energy which impels it to act. [...]
The scheme seems to differ little, and unwillingly, from a system of dynamics as modern as the dynamo.
Henry Adams
There is current in our land (and several European countries) at this moment a kind of nit-picking worship of historic im-po-tence. They say, they say, that Bach must not be interpreted and that he must have no emotion, his notes speak for themselves. You want know what that is? Pure unadulterated rot! Bach has the red blood. He has the communion with the people! He has all of this amazing spirit and imagine that you could put all the music on one side of the agenda with his great interpretation and great feeling and put the greatest man of all right up on top of a dusty shelf underneath some glass case in a museum and say that he must not be interpreted! They're full of you know what and they are so untalented that they had to hide behind this thing 'cause they couldn't get in the House of Music any other way!
Virgil Fox
I soon came to know in the weary debates and the 104 divisions against the European Communities Bill who it was with whom I shared feelings of anger, outrage and hatred at what was being perpetrated. I am aware that the "Left" is supposed to be motivated only by the desire to be unimpeded by "Europe" in converting Britain into a socialist state; but I am compelled to depose that the instincts and reasoning of the "Left" opponents of membership...were exactly as nationalistic, not to say patriotic, as my own...[I part company with Labour only] because of my blind, high Tory ultimate faith in the people. If they are the people I thought and still want to think that they are, those who represent them will assuredly be pulled back in time from the betrayal of their birthright of parliamentary freedom either to a European state or to a Marxist bureaucracy.
Enoch Powell