Book contents
- Frontmatter
- Contents
- Preface
- Summary and plan of the book
- Introduction
- 1 Logic on the Underground
- 2 The psychology of logic
- 3 The fox and the crow
- 4 Search
- 5 Negation as failure
- 6 How to become a British Citizen
- 7 The louse and the Mars explorer
- 8 Maintenance goals as the driving force of life
- 9 The meaning of life
- 10 Abduction
- 11 The Prisoner’s Dilemma
- 12 Motivations matter
- 13 The changing world
- 14 Logic and objects
- 15 Biconditionals
- 16 Computational Logic and the selection task
- 17 Meta-logic
- Conclusions of the book
- A1 The syntax of logical form
- A2 Truth
- A3 Forward and backward reasoning
- A4 Minimal models and negation
- A5 The resolution rule
- A6 The logic of abductive logic programming
- References
- Index
A2 - Truth
Published online by Cambridge University Press: 07 September 2011
- Frontmatter
- Contents
- Preface
- Summary and plan of the book
- Introduction
- 1 Logic on the Underground
- 2 The psychology of logic
- 3 The fox and the crow
- 4 Search
- 5 Negation as failure
- 6 How to become a British Citizen
- 7 The louse and the Mars explorer
- 8 Maintenance goals as the driving force of life
- 9 The meaning of life
- 10 Abduction
- 11 The Prisoner’s Dilemma
- 12 Motivations matter
- 13 The changing world
- 14 Logic and objects
- 15 Biconditionals
- 16 Computational Logic and the selection task
- 17 Meta-logic
- Conclusions of the book
- A1 The syntax of logical form
- A2 Truth
- A3 Forward and backward reasoning
- A4 Minimal models and negation
- A5 The resolution rule
- A6 The logic of abductive logic programming
- References
- Index
Summary
This additional chapter explores the semantics of classical logic and conditional logic. In classical logic, the semantics of a set of sentences S is determined by the set of all the interpretations (or semantic structures), called models, that make all the sentences in S true. The main concern of classical logic is with the notion of a sentence C being a logical consequence of S, which holds when C is true in all models of S.
Semantic structures in classical logic are arbitrary sets of individuals and relationships, which constitute the denotations of the symbols of the language in which sentences are expressed. In this chapter, I argue the case for restricting the specification of semantic structures to sets of atomic sentences, called Herbrand interpretations.
- Type
- Chapter
- Information
- Computational Logic and Human ThinkingHow to Be Artificially Intelligent, pp. 247 - 256Publisher: Cambridge University PressPrint publication year: 2011