A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Categorical Properties

College Depth 94 in the knowledge graph I know this Set as goal
2topics build on this
529prerequisites beneath it
See this on the map →
Categorical and Dispositional PropertiesCollective and Distributive Properties+5 moreDispositional PropertiesTemporal Properties and Temporal Change
properties categorical intrinsic-nature

Core Idea

Categorical properties are those with intrinsic natures that characterize how things are independent of what effects they produce. For example, mass might be categorical in determining an object's weight or acceleration. Some metaphysicians argue only categorical properties are truly fundamental.

Explainer

You already understand the categorical/dispositional distinction: dispositional properties like *fragility* or *solubility* characterize what an object *would do* under certain circumstances, while categorical properties characterize what the object *is* independently of any conditional behavior. Categorical properties are the purely intrinsic, occurrent features of things — the way something actually is right now, not how it would behave if circumstances were different. The shape of a crystal, for instance, is often cited as a paradigm categorical property: it just *is* the geometric arrangement of atoms, regardless of what effects that arrangement produces.

The philosophical significance of this distinction lies in questions about grounding. If you hold that dispositions need to be grounded in something non-dispositional, then categorical properties play the role of the ultimate foundation. Consider: *solubility* is grounded in the molecular structure of a substance — its arrangement and bonding patterns. Those structural features are categorical. If you then ask what grounds the categorical structure, a committed categoricalist says "nothing further — it just is that way." The categorical properties are the bedrock. This picture is sometimes called Humean or categoricalist metaphysics: the world's fundamental layer consists entirely of categorical, non-dispositional qualities distributed across space-time, and all dispositions reduce to or are grounded in these categorical bases.

The sparse/abundant distinction you have encountered is relevant here. If we are asking what the *fundamental* categorical properties are, we want the sparse list — the genuine, natural joints in reality, not every gerrymandered predicate we can construct. Mass, charge, spin, and other fundamental physical quantities are strong candidates for fundamental categorical properties. These are not defined by what they would do; they are just *there*, intrinsic to their bearers. From these, all the dispositional features of objects — their fragility, conductivity, magnetic behavior — are supposed to follow as consequences.

Not everyone accepts this picture. Pure dispositionalists argue that categorical properties are themselves just unmanifested dispositions, or that the categorical/dispositional divide is not as sharp as it seems. Mass, they note, is precisely defined by its role in gravitational and inertial relations — it is characterized by how it *behaves*. If that's right, categoricalism may be an illusion. The debate ultimately connects to deep questions about whether properties have intrinsic natures independent of their causal roles, or whether being a property just *is* playing a certain causal role.

What did you take from this?

Topics in reflective domains aren't scored by quiz answers. Read, reflect, and mark when you've thought it through.

Quiz me anyway →

Prerequisite Chain

Understanding ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersIntroduction to ExponentsOrder of OperationsInteger Order of OperationsVariable ExpressionsThe Distributive PropertyVariables and Expressions ReviewIntroduction to PolynomialsAdding and Subtracting PolynomialsMultiplying PolynomialsFactorialPermutationsCombinationsCounting Principles: Addition and Multiplication RulesIntroduction to Graph TheoryPropositional Logic FoundationsLogical EquivalencesBoolean AlgebraIntroduction to Propositional LogicIntroduction to Predicate Logic (First-Order Logic)First-Order Logic SyntaxTerms and Atomic Formulas in FOLVariable Binding and ScopeOpen and Closed Formulas in First-Order LogicVariable Substitution and Capture-Avoidance in First-Order LogicQuantifier Instantiation Rules in First-Order Proof SystemsUniversal Quantification: Meaning and ScopeFree Variables and Bound VariablesSubstitution and Instantiation in Predicate LogicTerms and Atomic FormulasFormulas and Well-Formed ExpressionsStructures and InterpretationsModel Interpretation and SatisfactionInterpretation, Truth, and Satisfaction of FormulasLogical Consequence and EntailmentSyntactic Consequence (⊢) Versus Semantic Consequence (⊨)Logical Consequence and ValidityGrounding and FundamentalityTruthmakers and GroundingTruthmaker Fundamentalism and Truth-Making RelationsGrounding and the Hierarchy of Fundamental FactsMetaphysical Structure and Architectural FormFundamental and Derivative Properties: Sparse and Abundant OntologiesCategorical Properties

Longest path: 95 steps · 529 total prerequisite topics

Prerequisites (7)

Leads To (2)