“Randomness is the true foundation of mathematics.” MathematicsFoundationRandomness Author:Gregory Chaitin
“Mathematical high culture collides with pop culture and all hell breaks loose! Harris takes us on a wild ride--never a dull moment!” MomentsCultureBreakHellPopsMathematicalDullPop CultureCollideWild Ride Author:Gregory Chaitin
“So in the end it wasn't Gödel, it wasn't Turing, and it wasn't my results that are making mathematics go into an experimental mathematics direction, in a quasi-empirical direction. The reason why mathematicians are changing their working habits is the computer. I think that this is an excellent joke!” ThinkingEndsReasonScienceResultsHabitComputerJokesMathematicsExcellentReason WhyMathematician Author:Gregory Chaitin
“But if we play it safe, the problem is that we may be losing out, and I believe we are.” IfsBelieveMayPlayProblemScienceI BelieveSafeLosingMathematicsLosing Out Author:Gregory Chaitin
“I think logicians hate my work, they detest it! And I'm like pornography, I'm sort of an unmentionable subject in the world of logic, because my results are so disgusting!” ThinkingWorldScienceHateResultsSubjectsLogicMathematicsDisgustingPornographyDetest Author:Gregory Chaitin
“As Hamlet tells his friend, ``There are more things in heaven and earth, Horatio, than are dreamt of in your philosophy.'' Well then, we must try harder to dream!” TryingWellsPhilosophyDreamEarthHeavenHarderHeaven And EarthHoratio Author:Gregory Chaitin
“Bertrand Russell started off as a mathematician and then degenerated into a philosopher and finally into a humanist; he went downhill rapidly!” PhilosopherHumanistMathematician Author:Gregory Chaitin
“In a way, math isn't the art of answering mathematical questions, it is the art of asking the right questions, the questions that give you insight, the ones that lead you in interesting directions, the ones that connect with lots of other interesting questions -the ones with beautiful answers.” WayGivingArtBeautifulAnswersInterestingLearningAskingInsightMathMathematicalProgrammingRight QuestionsAsking The Right Questions Author:Gregory Chaitin
“A random sequence is one that cannot be algorithmically compressed : the shortest description of a random sequence is simply the sequence itself.” ComputerDescriptionSequence Author:Gregory Chaitin