#foundations

95 topics

Arts And Aesthetics

Aesthetics and Philosophy of Art: IntroductionGraduateDesign Principles Course OverviewMiddle & High School

Biology

Cell Biology: Unifying PrinciplesCollegeCell TheoryMiddle & High SchoolEvolutionary Genetics FoundationsCollegeScope and History of MicrobiologyCollege

Chemistry

Fundamental Principles of Statistical MechanicsGraduate

Computer Science

Church-Turing Thesis and ComputabilityGraduateFormal Languages and StringsCollegeNetwork FundamentalsGraduateThe P vs. NP ProblemGraduate

Economics

Bellman Equation and Dynamic ProgrammingResearchDefining Economic DevelopmentMiddle & High SchoolIntroduction to EconometricsCollegeNominal and Real Macroeconomic VariablesCollegeOpportunity Cost and Economic Decision-MakingCollegeScarcity and Opportunity CostElementaryScarcity, Choice, and Production TradeoffsCollegeSimple Linear Regression EstimationGraduate

Engineering

Elementary Signals: Impulse, Step, and Exponential FunctionsCollegeFundamentals of Thermodynamic SystemsCollegeSignal Classification: Continuous vs. Discrete TimeCollege

Formal Sciences And Logic

Computability and Complexity: Overview and ConnectionsCollegeIntroduction to Predicate Logic (First-Order Logic)CollegeIntroduction to Propositional LogicCollegeNaive Set TheoryCollegeRussell's ParadoxCollegeZFC Axioms OverviewCollege

Health And Human Development

Foundations of EpidemiologyCollege

History

What Is History?Middle & High School

Language And Communication

Basic Sentence Structure: Subject and PredicateElementaryFormal Linguistics: Overview and GoalsCollegeNouns: People, Places, Things, and IdeasElementaryVerbs: Actions and States of BeingElementary

Literature

Core Literary Terminology and ConceptsCollegeIntroduction to Critical TheoryCollegeLiterary Analysis: Overview and ApproachesCollege

Mathematics

Binary Operations and Algebraic StructuresGraduateCounting Principles and Multiplication PrincipleCollegeDivisibility Theory (Formal Treatment)GraduateEqual GroupsElementaryFormal Definitions in Graph TheoryCollegeIntroduction to Discrete MathematicsCollegeOrdered Field Axioms of the Real NumbersGraduatePoints, Lines, and PlanesMiddle & High SchoolProbability AxiomsCollegeProbability Axioms and RulesCollegeProbability Rules: Addition, Multiplication, and ComplementCollegeProbability Spaces (Measure-Theoretic Definition)GraduatePropositional Logic FoundationsCollegeSample Spaces and EventsCollegeSet Theory BasicsCollegeSet Theory FundamentalsCollegeSigma-Algebras and Measurable SetsGraduateSigma-Algebras and Measurable SetsGraduateSigma-Algebras: Formal ConstructionResearchStatements and Logical ConnectivesCollegeThe Completeness Axiom (Least Upper Bound Property)GraduateThe Complex PlaneGraduateTopological Spaces: Definition and ExamplesGraduateTopological Spaces: Definition and ExamplesCollegeTopological Spaces: Definition and ExamplesCollegeTruth Values and StatementsCollegeWeak Law of Large NumbersCollege

Philosophy

Contractarian Moral FoundationsCollegeEpistemic vs. Instrumental RationalityCollegeIntroduction to MetaethicsCollegeIntroduction to Philosophy of ScienceGraduateMoral Foundations and IntuitionsCollegeNatural Rights: Foundations and JustificationsCollegePhenomenology (Husserl)GraduateThe Epistemic Regress ArgumentCollege

Physics

Bell Theorem and Bell InequalitiesGraduateDirac Notation (Bra-Ket Notation)CollegeEnsemble Theory FundamentalsResearchHilbert Space FormalismCollegeInterpretations of Quantum MechanicsGraduateInterpretations of Quantum MechanicsGraduateLiouville's TheoremResearchMaxwell's Equations in Integral FormResearchPostulates of Quantum MechanicsGraduateState Vectors and WavefunctionsGraduateStatistical Ensembles and Probability DistributionsResearchThe Ergodic HypothesisResearchThe Measurement ProblemGraduate

Practical Life Skills

Basic Hand Tools and Their UsesElementaryElectrical Safety BasicsElementaryFinancial Literacy OverviewMiddle & High SchoolMoney: Fundamentals, Definition, and CharacteristicsMiddle & High SchoolPlumbing Basics: Pipes, Valves, and Shut-OffsElementaryUnderstanding Home Systems and How They Work TogetherElementary

Psychology

Formulating Research Questions with SpecificityCollegeThe Scientific Method in PsychologyCollege

Social Sciences

Anarchy and Self-Help in International PoliticsCollegePhilosophy of Social Science: Epistemology and MethodsCollege