Penrose, R. (1989). ``The Emperor's new mind.'' =============================================== Oxford: Oxford University Press. 1990 reprint with corrections. [HW lib] p.420: The conversation stopped momentarily as we crossed a side road, and resumed again at the other side. Evidently, during those few moments, (* AN IDEA occurred to me, but then THE ENSUING CONVERSATION BLOTTED IT FROM MY MIND! *) [EP] p.420: I began (* GOING THROUGH IN MY MIND *..) all the various things that had happened to me during the day, in an attempt to (..* FIND *) what it was that had caused this elation. ... I finally (* BROUGHT TO MIND THE THOUGHT *) that I had had while crossing the street --- a thought which had momentarily elated me by providing the solution to the problem that had been (* MILLING AROUND AT THE BACK OF MY HEAD! *) p.422: My guess is that even with the sudden (* FLASH OF INSIGHT,*) apparently produced ready-made by the unconscious mind, it is __consciousness__[ital] that is the arbiter, and the idea would be quickly rejected and forgotten if it did not (* `RING TRUE.'*) (Curiously, I __did__[ital] actually forget my trapped surface [a mathematical construct], but that is not (* AT THE LEVEL *) that I mean. (* THE IDEA BROKE THROUGH INTO CONSCIOUSNESS *) for long enough for it to leave a lasting impression.) The `aesthetic' rejection that I am referring to might, I am supposing, be such as to forbid unappealing (* IDEAS TO REACH ANY VERY APPRECIABLY PERMANENT LEVEL OF CONSCIOUSNESS *) at all. p.423 [in a quotation of a translated statement by Mozart]: {In certain circumstances] (* THOUGHTS CROWD INTO MY MIND *) as easily as you could wish. (* WHENCE AND HOW DO THEY COME?*) I do not know and I have nothing to do with it. Those which please me (* I KEEP IN MY HEAD *) and hum them; ... Then (* MY SOUL IS ON FIRE WITH inspiration.*) The work grows; I keep expanding it, (* CONCEIVING IT MORE AND MORE CLEARLY *) until I have the entire composition finished in my head though it may be long. Then (* MY MIND SEIZES IT *) as a glance of my eye a beautiful picture or a handsome youth. p.425: --- and, (* TO MY OWN MIND,*) this conclusion is an inescapable conclusion of considerations like the above --- p.428: (Recall that according to the Platonic viewpoint, mathematical ideas have an [external] existence of their own, and (* INHABIT AN IDEAL PLATONIC WORLD,*) which is (* ACCESSIBLE VIA THE INTELLECT *) only; ...) When one (* `SEES' A MATHEMATICAL TRUTH,*) (* ONE'S CONSCIOUSNESS BREAKS INTO THIS WORLD OF IDEAS, AND MAKES DIRECT CONTACT WITH IT *) (`accessible via the intellect'). ... When mathematicians communicate, this is made possible by each one having a (* __DIRECT ROUTE TO TRUTH__[ital],*) the consciousness of each being in a position to perceive mathematical truths directly, through this process of (* `SEEING.'*) (Indeed, often the act of perception is accompanied by words like `Oh, I see'!)