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

Categorical and Dispositional Properties

College Depth 87 in the knowledge graph ☐ I know this ☆ Set as goal
4topics build on this
468prerequisites beneath it
See this on the map →
Intrinsic and Extrinsic PropertiesSubstance and Property+1 more→→Categorical PropertiesDispositional Properties+1 more
properties dispositions powers causation ontology

Core Idea

Categorical properties are intrinsic features an object possesses making no essential reference to what would happen in other situations (like being red); dispositional properties are characterized by what they would cause or manifest in appropriate circumstances (like fragility). Whether all properties are categorical, all dispositional, or mixed has profound implications for causation, modality, and laws of nature.

Explainer

From your work on intrinsic and extrinsic properties, you know that some properties belong to a thing independently of its relations to other things, while others are relational. The categorical/dispositional distinction cuts across that one: it asks whether a property is defined by what a thing *is* right now, or by what it *would do* in some circumstances. Both categorical and dispositional properties can be intrinsic — but they differ in whether their complete specification requires reference to other possible situations.

A categorical property is one that is fully characterized by describing the current state of the object. The shape of a crystal, the charge distribution in a molecule, the mass of a particle — these seem describable without mentioning what would happen to the crystal under pressure, what the molecule would do in a reaction, or how the particle would respond to a force. You could in principle give a complete inventory of all the categorical properties of a thing by examining it here and now. The paradigm case is geometric shape: being spherical is just being spherical — there is no hidden "what it would do" built into the property.

A dispositional property is irreducibly defined by its potential manifestation in the right circumstances. Fragility is the canonical example: to say a glass is fragile is to say it *would* shatter if struck with sufficient force. The glass might never be struck; it might sit undisturbed forever. Yet it still has or lacks fragility right now. This is what makes dispositions philosophically puzzling: they seem to point toward possibilities, not just actualities. Other examples include solubility (would dissolve if submerged), flammability (would ignite if heated), toxicity (would poison if ingested). The dispositional property seems to "reach out" to counterfactual situations that haven't happened.

The debate about which properties are fundamental has deep consequences. Categoricalism holds that all fundamental properties are categorical, and dispositions are just regularities that happen to hold given those categorical grounds plus laws of nature. On this view, laws are external constraints imposed on a categorically described world. Dispositionalism (or the "powers" view) reverses this: the fundamental properties of nature are dispositions — mass is the disposition to attract, charge is the disposition to repel or attract — and laws of nature are not external constraints but expressions of what these powers necessarily do. This has major consequences for your understanding of causation: if properties are powers, causes necessitate their effects; if properties are categorical, causation requires contingent laws to bridge them.

The question connects to your study of causal relations because it determines what kind of work a property does in explaining why something happens. If fragility is a genuine dispositional property, then it helps explain why the glass broke — the breaking is the manifestation of a real power. If fragility is just a categorical description of microstructure plus a law, then the explanatory work is done by the underlying structure and the law, not the disposition per se. Deciding between these views requires going deep into debates about modality, laws of nature, and what kinds of features of the world are genuinely fundamental versus derived.

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 Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Introduction to Exponents → Order of Operations → Integer Order of Operations → Variable Expressions → The Distributive Property → Variables and Expressions Review → Introduction to Polynomials → Adding and Subtracting Polynomials → Multiplying Polynomials → Factorial → Permutations → Combinations → Counting Principles: Addition and Multiplication Rules → Introduction to Graph Theory → Propositional Logic Foundations → Logical Equivalences → Boolean Algebra → Introduction to Propositional Logic → Introduction to Predicate Logic (First-Order Logic) → First-Order Logic Syntax → ZFC Axioms Overview → Axiom Schema of Separation → Axiom Schema of Replacement → Von Neumann Ordinals → Hereditarily Finite Sets → Recursive Definitions on Finite Sets → Well-Founded Relations and Transfinite Recursion → The Axiom of Choice and Equivalent Formulations → Axiom of Choice → Well-Ordering Theorem → Infinite Cardinal Numbers → Cantor's Theorem → Set-Theoretic Cardinality → Universals and Particulars → Intrinsic and Extrinsic Properties → Categorical and Dispositional Properties

Longest path: 88 steps · 468 total prerequisite topics

Prerequisites (3)

Leads To (3)