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Kurt Gödel Books

Logician

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“The formation in geological time of the human body by the laws of physics (or any other laws of similar nature), starting from a random distribution of elementary particles and the field is as unlikely as the separation of the atmosphere into its components. The complexity of the living things has to be present within the material, from which they are derived, or in the laws, governing their formation.”

HumansBodyLawFieldsMaterialsStartingPhysicsSeparationAtmosphereComplexityDistributionComponentsUnlikelyHuman BodyParticlesLiving ThingsGoverningFormationLaws Of PhysicsGeological Time
Author:Kurt Gödel
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“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
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