“What promotes math progress even more than new ideas are new technical tools and habits of thought that encapsulate existing ideas, so that insights of one generation become the instincts of the next.” IdeasScienceNextProgressGenerationsHabitToolsMathematicsInstinctInsightMathNew Ideas Author:Jim Propp
“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
“The world is a multiplicity, a harvest-field, a battle-ground; and thence arises through human contact ways of numbering, or mathematics, ways of tillage, or agriculture, ways of fighting, or military tactics and strategy, and these are incorporated in individuals as habits of life.” WorldWayHumansFightingIndividualMilitaryFieldsHabitBattleMathematicsStrategyAriseContactAgricultureHarvestTacticsMultiplicityTactics And Strategy Book:The Torch, and Other Lectures and Addresses Source: The Torch, and Other Lectures and Addresses