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A Quotes

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All A Quotes

“An axiomatic system comprises axioms and theorems and requires a certain amount of hand-eye coordination before it works. A formal system comprises an explicit list of symbols, an explicit set of rules governing their cohabitation, an explicit list of axioms, and, above all, an explicit list of rules explicitly governing the steps that the mathematician may take in going from assumptions to conclusions. No appeal to meaning nor to intuition. Symbols lose their referential powers; inferences become mechanical.”

“An axiomatic system establishes a reverberating relationship between what a mathematician assumes (the axioms) and what he or she can derive (the theorems). In the best of circumstances, the relationship is clear enough so that the mathematician can submit his or her reasoning to an informal checklist, passing from step to step with the easy confidence the steps are small enough so that he cannot be embarrassed nor she tripped up.”

“An der H. A. Jack School erkannte ich, dass ich schwarz war. Vor meinem Erlebnis im Pausenhof hatte ich mich nie entscheiden müssen, doch als ich dazu gezwungen wurde, entschied ich mich für schwarz. Die Welt betrachtete mich als farbig, aber ich verbrachte mein Leben nicht damit, mich selbst zu betrachten. Ich betrachtete andere Menschen. Ich sah mich so, wie ich die anderen Menschen um mich herum sah, und diese Menschen waren schwarz. - S. 77”

“An ear for music is very different from a taste for music. I have no ear whatever; I could not sing an air to save my life; but I have the intensest delight in music, and can detect good from bad.”

“An ear-splitting screech pierced the silence, followed by another, striking his ears like metal against a hollow bell. The woosh woosh of wind being displaced brought Andrew’s attention skyward, and a glacial gust of paralyzing terror raced up his spine. The creature opened its mouth, and a blazing shaft of fire bellowed from above. Andrew barely had enough time to back beneath an awning for protection. Egnatious and Sebastian dove to the side while Firen sidestepped her impending doom, raising the katana in challenge. The screeching returned, except now the howls were coming from every direction. Firen’s chest heaved. “Did you see that?” she asked, her stormy eyes glinting with rapture and daring as she held her katana out, preparing for the next attack. “Did I see the dragon?” Sebastian asked, hysteria dangerously rising to the surface. He stood and brushed himself off. “Yes, I bloody well did see that enormous, scaly, fire-breathing dragon.”

“An early incarnation of the metaverse can already be seen in gaming, one of the most (if not the most) immersive digital industries in the world, so if you're into video games, the whole concept may not be entirely new to you. Fitness is another industry where both VR and AR have been used quite heavily in recent years, so it would not be surprising that the foundations of the metaverse could emerge from these industries. Moreover, applications of VR/AR have been massively democratized recently. But let's not kid ourselves: this journey will go on for decades. First of all, the metaverse needs some infrastructures that not only do not exist today, but the whole Internet landscape has not been originally created to support such a revolutionary platform. Moreover, we will need standards and protocols (possibly from day one) exactly as we have for the Internet today, and -because of the complexity of the metaverse- this could take years. Not to mention the privacy and regulation concerns that building the metaverse can trigger. At this stage, therefore, any prediction on how the metaverse will look won't be much more than pure speculation, and the risk that the "hype" turns into "a bubble" is quite tangible.”

“An earnest conjuration from the King, As England was his faithful tributary, As love between them like the palm might flourish, As peace should still her wheaten garland wear And stand a comma 'tween their amities, And many such-like as's of great charge, That, on the view and knowing of these contents, Without debatement further, more or less, He should the bearers put to sudden death, Not shriving time allow'd.”

“An earthly immortality belongs to a great and good character. History embalms it; it lives in its moral influence, in its authority, in its example, in the memory of the words and deeds in which it was manifested; and as every age adds to the illustrations of its efficacy, it may chance to be the best understood by a remote posterity.”

“An easterly is the most disagreeable wind in Lyme Bay — Lyme Bay being that largest bite from the underside of England's outstretched southwestern leg — and a person of curiosity could at once have deduced several strong probabilities about the pair who began to walk down the quay at Lyme Regis, the small but ancient eponym of the inbite, one incisively sharp and blustery morning in the late March of 1867.”

“An easy and even a pleasant task is it to reduce human problems to numerical figures in black and white on charts and graphs, an infinitely difficult one is it to suggest concrete solutions, or to extend true charity in individual lives. Yet life can only be lived in the individual; almost invariably the individual refuses to conform to the theories and the classifications of the statistician.”