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Relational and Intrinsic Properties

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Intrinsic and Extrinsic PropertiesCausation and Causal Relations→→Categorical PropertiesTemporal Properties and Temporal Change
properties relational intrinsic

Core Idea

Intrinsic (non-relational) properties belong to objects independently of other entities; relational properties hold between objects or between an object and external entities. Whether all properties reduce to intrinsic properties at a fundamental level, or whether relations are primitive, deeply shapes metaphysical pictures of causation, properties, and fundamental ontology.

Explainer

From intrinsic and extrinsic properties, you already know the basic contrast: some properties an object has regardless of what else exists (being 5 kg, being spherical), while others an object has only in virtue of how it stands to other things (being heavier than Sam, being north of the river). The distinction between intrinsic (non-relational) and relational properties sharpens this contrast by asking specifically whether a property is *constituted* by a relation to something external, or whether it belongs to the object considered entirely alone.

The distinction shows up clearly in concrete cases. A ball's mass and charge are paradigm intrinsic properties — if you transported the ball to an otherwise empty universe, it would keep its mass and charge unchanged. But "being the most massive object in the room" is relational: it can be gained or lost as other objects enter or leave the room, without anything about the ball changing internally. More subtly, "being warmer than the planet Jupiter" is relational — it depends not just on the ball's temperature but on Jupiter's. Temperature itself, though, is typically treated as intrinsic: the ball has a particular temperature independently of what else exists.

The philosophically significant question is whether relations are reducible to intrinsic properties. Some positions in metaphysics, particularly those influenced by Leibniz, hold that all genuine facts ultimately reduce to facts about the intrinsic properties of individual substances — relational truths are just a way of describing how intrinsic properties compare. On this view, "A is larger than B" reduces to: A has intrinsic size S1, B has intrinsic size S2, and S1 > S2. No irreducible relation between A and B is needed. Physicists and metaphysicians following a different tradition (including many who take structural realism seriously) argue instead that some relations are primitive — they cannot be reduced to the intrinsic properties of the relata. The spatial relations in quantum entanglement and the web of causal dependencies in physics are frequently cited as examples.

This debate connects directly to causation, which you've encountered. If causation is a relation, is it reducible to the intrinsic properties of the cause and effect — their categorical dispositions — or is it a primitive relational fact? Humeans want to reduce causation to patterns of co-occurrence among intrinsic properties; non-Humeans posit primitive causal relations or necessitation as irreducible. The answer matters for fundamental ontology: a world with only intrinsic properties is structurally different from a world where relations are load-bearing features of reality, not just shorthand for comparing intrinsics.

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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 → Relational and Intrinsic Properties

Longest path: 88 steps · 468 total prerequisite topics

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