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Persistence and Change

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Philosophy of TimePersonal Identity Over Time→→Four-Dimensionalism and Temporal PartsPersistence Through Change+1 more
persistence endurantism perdurantism temporal parts change

Core Idea

How does an object remain the same thing while undergoing change — how can the leaf be green in summer and red in autumn, yet be one and the same leaf? Endurantism holds that objects are wholly present at each moment of their existence; they persist by enduring, and change is a matter of having different properties at different times. Perdurantism holds that objects are extended through time and have temporal parts — the summer-leaf and the autumn-leaf are distinct temporal stages of a single four-dimensional entity. A third view, stage theory (exdurantism), says that ordinary objects are instantaneous stages, and 'persistence' is really a relation of counterpart-hood between stages. Each theory handles the puzzle of change differently and faces characteristic objections: endurantism struggles with temporary intrinsics, while perdurantism must explain why temporal parts compose unified objects.

How It's Best Learned

Read Lewis's 'On the Plurality of Worlds' section 4.2 on temporary intrinsics for the perdurantist case, then Haslanger's 'Endurance and Temporary Intrinsics' for the endurantist response. Try to formulate the problem of change precisely before evaluating the solutions.

Common Misconceptions

Explainer

You know from philosophy of time that the present moment has a special status — questions about whether the past and future exist, and how time flows, are among the deepest in metaphysics. Persistence and change bring those questions down to the level of ordinary objects. A leaf is green in summer and red in autumn. A ship has all its planks replaced one by one. You were a child and are now an adult. In each case, we unreflectively say it is the *same* object across the change. But what makes that true? This is the persistence problem, and it has two serious answers.

Endurantism says that objects persist by being wholly present at each moment of their existence. The leaf in summer and the leaf in autumn are the very same object, fully present at both times, just with different properties at different times. Change is simply a matter of having property P at time t1 and property Q at time t2. This matches ordinary intuition — we don't think the summer leaf and autumn leaf are different objects. But endurantism faces the problem of temporary intrinsics, articulated by David Lewis: if the same object is wholly present at both times, and has greenness at one time and redness at the other, how can it have both properties? Properties seem to be intrinsic to their bearers — if an object is green, it is green full stop, not green-relative-to-a-time. Endurantists respond by relativizing property instantiation to times: the leaf instantiates greenness-at-t1 and redness-at-t2.

Perdurantism avoids the problem by saying objects have temporal parts — distinct stages or slices that compose the whole object across time. The summer leaf and the autumn leaf are different temporal parts of a single extended four-dimensional entity. Change is not the same object having different properties; it is different temporal parts having different properties. This is analogous to spatial parts: the top of a tree is green and the roots are brown, and we don't find this contradictory because they are different spatial parts. Perdurantism extends this logic into the time dimension. Lewis endorsed this view precisely because it dissolves the temporary intrinsics problem — each temporal part simply has its intrinsic properties, full stop.

A third position, stage theory (associated with Ted Sider and Katharine Hawley), holds that ordinary objects just are instantaneous temporal stages — there is no four-dimensional worm, only a series of stages connected by counterpart relations. "The leaf" refers to a stage; when we say the leaf persisted, we mean this stage and a later stage stand in the appropriate counterpart relation. Each theory predicts different answers to edge cases: the Ship of Theseus, personal identity over time, and the metaphysics of growth and decay. The persistence debate is thus not merely abstract — it structures how we think about identity, survival, and what matters in change.

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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 → Terms and Atomic Formulas in FOL → Variable Binding and Scope → Open and Closed Formulas in First-Order Logic → Variable Substitution and Capture-Avoidance in First-Order Logic → Quantifier Instantiation Rules in First-Order Proof Systems → Universal Quantification: Meaning and Scope → Free Variables and Bound Variables → Substitution and Instantiation in Predicate Logic → Terms and Atomic Formulas → Formulas and Well-Formed Expressions → Structures and Interpretations → Model Interpretation and Satisfaction → Interpretation, Truth, and Satisfaction of Formulas → Logical Consequence and Entailment → Soundness Theorem and Validity of Proof Systems → Deductive Reasoning and Formal Proof Systems → First-Order Resolution → Propositional Resolution → Semantic Tableaux (Propositional) → Semantic Tableaux (First-Order) → Decidable Fragments of First-Order Logic → Gödel's Completeness Theorem for First-Order Logic → Gödel's Incompleteness Theorems → Introduction to Intuitionistic Logic → Introduction to Modal Logic → Temporal Logic → Philosophy of Time → Persistence and Change

Longest path: 100 steps · 529 total prerequisite topics

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