Quotessence
Home / Authors / Kurt Gödel

Kurt Gödel Quotes

Logician

Filter quotes by topic

AllMathematicsBelieveDon't BelievePrecisionWorldBasesDevelopmentGreaterHumansInferenceIntegersKnownLawMathMathematicalNaturalNatural ScienceProveSeparationTheorems

Famous Kurt Gödel Quotes

“The development of mathematics toward greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules... One might therefore conjecture that these axioms and rules of inference are sufficient to decide any mathematical question that can at all be formally expressed in these systems. It will be shown below that this is not the case, that on the contrary there are in the two systems mentioned relatively simple problems in the theory of integers that cannot be decided on the basis of the axioms.”

WellsTwoProblemMightSimpleKnownCasesGreaterTheoryDevelopmentProveDecidedBasesMathematicsContraryMathematicalSufficientWell KnownPrecisionAxiomsTheoremsInferenceConjectureIntegers
Author:Kurt Gödel
Create image