Computational Interpretation of Topos Theory
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| Number of Parts | 6 | |
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| License | CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. | |
| Identifiers | 10.5446/46724 (DOI) | |
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00:00
Inclusion mapComputational physicsMathematicsLogicIntuitionistische LogikRule of inferenceFormal power seriesAlgebraic structureRepresentation theoryCharacteristic polynomialRecursive languageTheoryDynamical systemCategory of beingTheoryEqualiser (mathematics)Validity (statistics)Model theoryLogicUniformer RaumFigurate numberMathematicsDoubling the cubeNumerical digitSeries (mathematics)Characteristic polynomialElement (mathematics)Cartesian coordinate systemKörper <Algebra>Multiplication signOrder (biology)Different (Kate Ryan album)RecursionObject (grammar)Fields MedalSummierbarkeitConstructivism (mathematics)MathematicianConnectivity (graph theory)Ocean currentAlgebraic structureLeakPoint (geometry)Group action1 (number)ChainMusical ensembleWell-formed formulaPresentation of a groupResultantIrrational numberModulformSequenceHorizonPrice indexAdditionConfidence intervalJunction (traffic)Forcing (mathematics)Right angleTable (information)CounterexampleConnected spaceVacuumHypothesisComplete metric spaceShift operatorSet theoryAlpha (investment)Inverse elementComputability theoryTopostheorieIntuitionistische MathematikPhysical lawPolynomialRational numberSquare numberBoolean algebraEnergy levelParameter (computer programming)Axiom of choiceGrothendieck topologyLecture/Conference
09:52
Model theoryIdeal (ethics)TopologySpacetimePrime idealHill differential equationSpectrum (functional analysis)Distributive propertyLattice (group)Relation <Mathematik>TheoryTrailSet theoryMusical ensemblePrice indexConstructivism (mathematics)Spectrum (functional analysis)Allgemeine AlgebraModel theoryDistribution (mathematics)Object (grammar)Hand fanFlow separationDecision theoryMedianState of matterGrothendieck topologyPrime idealParameter (computer programming)Spring (hydrology)Bounded variationDifferent (Kate Ryan album)Distortion (mathematics)Euler anglesCanonical ensembleRing (mathematics)Extension (kinesiology)Classical physicsGenetic programmingAlgebraic extensionExistenceTheory of relativityMathematicsOrbitWater vaporPoint (geometry)Group actionComplementarityBinomial heapFigurate numberHydraulic jumpObservational studyTheoryResultantLatin squarePosition operatorGenerating set of a groupNetwork topologyForcing (mathematics)Category of beingBeat (acoustics)Order (biology)Ocean currentBuildingGradientValidity (statistics)RecursionModulformRepresentation theoryHorizonFamilyNegative numberAlgebraKörper <Algebra>Numerical analysisFilter <Stochastik>Presentation of a groupComputability theoryMultiplication signDistributiver VerbandSet theoryIndependence (probability theory)Open setTopostheorieSheaf (mathematics)AxiomConsistencyLattice (group)Ideal (ethics)Shift operatorElement (mathematics)Proof theoryComputer animation
19:43
Distributive propertyLattice (group)Ideal (ethics)TheoryConsistencyTheoremRadical (chemistry)Computational physicsPredicate (grammar)Model theorySpectrum (functional analysis)Sheaf (mathematics)AntiderivativePropositional formulaProduct (business)PolynomialTime domainPrime idealExistenceGaussian eliminationElement (mathematics)SpacetimeFormal power seriesAlgebraic structureReduction of orderNoetherscher RingHypothesisLemma (mathematics)INTEGRALPairwise comparisonConvex hullCommutative propertyModule (mathematics)FunktorEndlich erzeugter ModulAlgebraMathematicsGrothendieck topologyTopostheorieTopologyGenerating set of a groupClassical physicsModule (mathematics)Model theoryProof theoryObject (grammar)Tube (container)Algebraic structureConstructivism (mathematics)MathematicsTime domainValidity (statistics)Latin squareDirection (geometry)CoefficientDistanceCategory of beingLogicRing (mathematics)MathematicianComputabilityHorizonSpecial unitary groupCartesian coordinate systemProduct (business)ConsistencyIntegral domainPrime idealSocial classCommutative propertyGreen's functionFree groupIterated function systemPropositional formulaTranslation (relic)Lie groupElementary arithmeticModulo (jargon)Spectrum (functional analysis)Forcing (mathematics)Group representationFigurate numberProfil (magazine)Multiplication signElement (mathematics)State of matterGaussian eliminationNumerical analysisHypothesisOpen setLocal ringMarkov chainExistenceVolume (thermodynamics)Sigma-algebraParameter (computer programming)Radical (chemistry)PolynomialTopostheorieTheory of relativityDifferent (Kate Ryan album)Ideal (ethics)Lattice (group)TheoryAlpha (investment)Lemma (mathematics)Term (mathematics)Shift operatorMathematical inductionCommutative algebraPoint (geometry)Fiber bundleComputer animation
29:35
10 (number)Algebraic closureRootAlgebraExtension (kinesiology)PolynomialTheoryTopostheorieComputational physicsHeegaard splittingIdeal (ethics)Group actionMathematical analysisMathematics19 (number)InfinityGrothendieck topologyCovering spaceCondition numberAlgebraic numberSheaf (mathematics)Model theoryAbelian categoryCharacteristic polynomialInverse elementEquals signApproximationFactorizationConsistencyKörper <Algebra>LogicDynamical systemCurveGrothendieck topologyApproximationTopostheorieFinitismusAlgebraAlgebraic closurePolynomialExtension (kinesiology)Körper <Algebra>RootTopologischer RaumMereologyConsistencyPrime idealCovering spaceOrder (biology)Group representationAxiom of choiceRepresentation theoryFisher informationShift operatorElement (mathematics)Heegaard splittingMoment (mathematics)ComputabilityProof theoryDivisorObject (grammar)Inverse elementState of matterAlgebraic numberModel theoryIdeal (ethics)Finite setFamilySequenceFlow separationReduction of orderCondition numberUniverse (mathematics)Category of beingNumerical analysisRoutingWave packetOperator (mathematics)Multiplication signHorizonStatisticsCanonical ensembleDescriptive statisticsOcean currentAllegoryTheoryModulformCharacteristic polynomialForcing (mathematics)Nichtlineares GleichungssystemClique-widthChaos (cosmogony)Constructivism (mathematics)Ring (mathematics)Perfect groupWater vaporFigurate numberGenerating set of a groupHand fanBuildingBeat (acoustics)Neumann boundary conditionLecture/Conference
39:27
ApproximationIdeal (ethics)Algebraic numberAlgebraic closurePolynomialFactorizationInfinityComputational physicsModel theoryTheoryTopostheorieGeometryProof theoryTheoremHelmholtz decompositionExtension (kinesiology)Sheaf (mathematics)MathematicsExponential functionProduct (business)Group representationPressureSpacetimeUniverse (mathematics)TopologyIsomorphieklasseAutoregressive conditional heteroskedasticityMathematical analysisHeegaard splittingGroup action19 (number)1 (number)Slide ruleDivisorOrder (biology)Descriptive statisticsCombinatory logicComputabilityModel theoryAlgebraic curveField extensionExistenceLogicFormal power seriesHeegaard splittingTerm (mathematics)Algebraic closureNetwork topologyKörper <Algebra>TopostheorieProduct (business)Arithmetic meanShift operatorMathematical analysisDynamical systemCoefficientElement (mathematics)Power seriesExtension (kinesiology)Thermal expansionMultiplication signComplex (psychology)Category of beingSequenceAxiom of choiceAlgebraic numberPotenz <Mathematik>Latent heatPoint (geometry)Set theoryGroup actionCondition numberProof theoryUniverse (mathematics)Cartesian coordinate systemOcean currentSolid geometryWaveLogical constantRoutingComplex numberSpacetimeStudent's t-testTheoryHydraulic jumpTheoremJohann Peter HebelModulformObject (grammar)WeightInclusion mapProfil (magazine)CuboidState of matterGraph coloringDirection (geometry)LinearizationChainFigurate numberThermodynamicsComputer animation
49:18
Computational physicsTopostheorieIdeal (ethics)Prime idealHeegaard splittingMathematicsMathematical analysisGroup actionLattice (group)Spectrum (functional analysis)Set theorySpacetimeTopologyDistributive propertyRelation <Mathematik>TopostheorieGroup actionConsistencyHeegaard splittingSocial classMatching (graph theory)Algebraic closureKörper <Algebra>Canonical ensembleAlgebraLogicTheoremCombinatory logicDescriptive statisticsSpacetimeSet theoryDistributiver VerbandPrime idealExistenceMorphismusCorrespondence (mathematics)TheoryTime domainIdeal (ethics)Extension (kinesiology)Point (geometry)Universe (mathematics)MetreResultantAxiomApproximationAlgebraic functionDifferent (Kate Ryan album)Proof theoryMatrix (mathematics)Analytic continuationPower (physics)AdditionEquivalence relationReal numberMultiplicationParameter (computer programming)FinitismusMereologyHypothesisPolynomialMusical ensembleConstructivism (mathematics)Multiplication signCentralizer and normalizerClassical physicsDeterminantLine (geometry)Square numberPhysical lawRadical (chemistry)
59:10
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Transcript: English(auto-generated)