Definition
Symbolic Representation is the use of discrete symbols (characters, tokens, or variables) to stand for objects, concepts, or logical relationships. It is the cornerstone of formal logic, mathematics, and classical “Good Old Fashioned” AI (GOFAI).
Why It Matters
Symbolic representation allows for the compression of complex reality into manipulatable tokens; it is the basis of all programming languages and formal logic, enabling computers to derive new information through the algorithmic manipulation of syntax.
Core Concepts
- Syntax vs. Semantics: Syntax refers to the rules for combining symbols (grammar), while semantics refers to the meaning assigned to those combinations.
- Formal Systems: A set of axioms and rules of inference that allow for the manipulation of symbols to derive new truths (e.g., Euclidean geometry).
- Physical Symbol System Hypothesis: The theory that a physical symbol system has the necessary and sufficient means for general intelligent action.
- Knowledge Representation (KR): The field of AI dedicated to representing information about the world in a form that a computer system can utilize to solve complex tasks.