“Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical text, one can get an output text which seemingly carries new knowledge. The basic examples are furnished by scientific or technological calculations: general laws plus initial conditions produce predictions, often only after time-consuming and computer-aided work. One can say that the input contains an implicit knowledge which is thereby made explicit.” MadeLawGamesLanguageConditionsExampleProduceComputerMathematicsPropertyMathematicalCarriePlusPeculiarFormalTechnologicalPredictionsInitialsConsumingCalculationsInputExplicitOutputImplicitTime ConsumingNew Knowledge Author:IU?. I. Manin
“In my own professional work I have touched on a variety of different fields. I've done work in mathematical linguistics, for example, without any professional credentials in mathematics; in this subject I am completely self-taught, and not very well taught.” WellsDifferentSelfDoneMy OwnSubjectsExampleFieldsTaughtMathematicsVarietyMathematicalTouchedLinguisticsCredentialsSelf TaughtProfessional Work Book:The Chomsky-Foucault Debate: On Human Nature Source: The Chomsky-Foucault Debate: On Human Nature
“In a mathematical proposition, for example, the objectivity is given, but therefore its truth is also an indifferent truth.” ScienceGivenExampleTruth IsMathematicsMathematicalIndifferentPropositionsObjectivity Author:Soren Kierkegaard
“[Lord Brougham's writings on the bee's cell contain] as striking examples of bad reasoning as are often to be met with in writings related to mathematical subjects.” WritingLordSubjectsExampleMetsCellsMathematicalRelatedReasoningBees Author:James Whitbread Lee Glaisher