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ain infinity to a child they immediately ask “What's infinity plus one.” A particularly smart kid I met, Dermot, asked, “What's infinity plus three?” Hilbert’s Hotel allows us to answer this problem in a way we can visualize. HOUSE_OVERSIGHT_015872 vhylbyyy | | tt tt VAVAVAVA A MY YI | i tt tt tt tt tT
up in the morning and does not stop until you get into the office.” Robert Frost “The brain looks like nothing more than a bowl of cold porridge.” Alan Turing HOUSE_OVERSIGHT_015786 as looking like a bowl of cold porridge. To get to the porridge you must first cut through the skull, a two-millimeter thic
r the occupants of the bus is larger than infinity. Real Numbers What about the real world we live in? Is the larger infinity we failed to fit into Hilbert’s Hotel present, or was it just a mathematical fiction? Hold up your thumb and index finger for a moment. The gap between them is a distance. Most li
, or even a physicist, could grasp! That thing is a Turing Machine. We will examine this next. HOUSE_OVERSIGHT_015898 Chapter 10 TURING’S MACHINE Alan Turing HOUSE_OVERSIGHT_015899 ‘A computer would deserve to be called intelligent if it could deceive a human into believing that it was human.” Alan Turi
disproof of P =NP @ 1.5 The Poincaré Conjecture @ —- Solved 1.6 Riemann Hypothesis °° 1.7 Yang-Mills Theory @ 1.8 Can we understand and solve all 23 Hilbert Problems ™** 1.9 Goldbach Conjecture ™ 1.10 Is mathematics fundamental to or simply a good model of our Universe? "° 1.11 Is mathematics an emergent
In the nearly hundred years of investigation since Wallas proposed this theorem, we have not moved much further forward in understanding creativity. Alan Turing described his thoughts on the science behind creativity in a short piece he wrote about decision making: “When making a decision of minor importance
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