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Indexicality and Demonstratives

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Indexicals and Context-Sensitive ExpressionsOstensive Definition and the Problem of Pointing+1 more→
indexicals demonstratives context

Core Idea

Indexical expressions like 'I,' 'now,' 'here' and demonstratives like 'this' and 'that' have a character—a rule for determining reference based on context—distinct from their content in a specific context. Kaplan's theory distinguishes these dimensions to handle the semantics of directly referential expressions.

Explainer

From your prerequisite study of indexicals and context-sensitivity, you know that expressions like "I," "now," "here," "today," and "this" shift their reference depending on who uses them, when, and where. I utter "I am hungry" — the word "I" refers to me. You utter the same sentence — "I" refers to you. Same word, different reference. This context-dependence is the basic phenomenon. What Kaplan's theory does is give a systematic two-level semantic framework that explains exactly how this works.

The first level is character: the rule or function that, given a context of utterance, determines the content expressed. The character of "I" is something like: *the speaker of the context*. The character of "now" is: *the time of utterance*. The character of "here" is: *the place of utterance*. Characters are stable across all contexts — the character of "I" never changes, which is why you know how to use it correctly. Characters are the linguistic meaning in the fullest sense: what a competent speaker knows when they know what an expression means.

The second level is content: what the expression actually refers to or expresses in a *particular* context. When I say "I" in my utterance, the content is me — Griffin — and that content is constant across possible worlds. This is what makes Kaplan's indexicals directly referential: once the context fixes the reference, the expression contributes just the object itself to the proposition expressed, not a description. The proposition expressed by "I am hungry" (uttered by me) is the singular proposition *<Griffin, hungry>* — true at a possible world if and only if Griffin is hungry there.

Demonstratives like "this" and "that" complicate the picture because they seem to require a directing intention in addition to context. When I say "that statue," I'm not just pointing to a contextually salient object — I'm directing attention to something specific, and different intentions could fix different referents even holding the context fixed. Kaplan distinguished "pure indexicals" (where context alone fixes reference, like "I") from "true demonstratives" (where a directing intention is needed). This distinction matters for explaining cases where demonstratives misfire, succeed despite pointing errors, or pick out objects the speaker didn't intend. Understanding character and content as distinct dimensions is the key to navigating these cases — and to understanding why the same sentence can express different propositions in different mouths.

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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 → A Priori and A Posteriori Knowledge → Rationalism vs. Empiricism → The Problem of Induction → Popper's Falsificationism → Falsifiability as the Criterion of Demarcation → The Falsifiability Criterion and Its Problems → Kuhn's Paradigm Theory → Normal Science and Anomalies → Thomas Kuhn and Paradigm Shifts → Scientific Progress and Convergence to Truth → Scientific Realism → Naturalism About Semantic Facts → Propositions and Semantic Content → Truth Conditions and Meaning → Semantic Underdetermination and Context → Indexicality and Demonstratives

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