Book contents
- Frontmatter
- Contents
- Preface
- Continuous Functionals of Dependent and Transfinite Types
- Degree-Theoretic Aspects of Computably Enumerable Reals
- Simplicity and Independence for Pseudo-Algebraically Closed Fields
- Clockwork or Turing U/universe? - Remarks on Causal Determinism and Computability
- A Techniques Oriented Survey of Bounded Queries
- Relative Categoricity in Abelian Groups
- Computability and Complexity Revisited
- Effective Model Theory: The Number of Models and Their Complexity
- A Survey on Canonical Bases in Simple Theories
- True Approximations and Models of Arithmetic
- On the Topological Stability Conjecture
- A Mahlo-Universe of Effective Domains with Totality
- Logic and Decision Making
- The Sheaf of Locally Definable Scalars over a Ring
- Human Styles of Quantificational Reasoning
- Recursion Theoretic Memories 1954–1978
- Fields Definable in Simple Groups
- A Combinatory Algebra for Sequential Functionals of Finite Type
- Model Theory of Analytic and Smooth Functions
Logic and Decision Making
Published online by Cambridge University Press: 17 May 2010
- Frontmatter
- Contents
- Preface
- Continuous Functionals of Dependent and Transfinite Types
- Degree-Theoretic Aspects of Computably Enumerable Reals
- Simplicity and Independence for Pseudo-Algebraically Closed Fields
- Clockwork or Turing U/universe? - Remarks on Causal Determinism and Computability
- A Techniques Oriented Survey of Bounded Queries
- Relative Categoricity in Abelian Groups
- Computability and Complexity Revisited
- Effective Model Theory: The Number of Models and Their Complexity
- A Survey on Canonical Bases in Simple Theories
- True Approximations and Models of Arithmetic
- On the Topological Stability Conjecture
- A Mahlo-Universe of Effective Domains with Totality
- Logic and Decision Making
- The Sheaf of Locally Definable Scalars over a Ring
- Human Styles of Quantificational Reasoning
- Recursion Theoretic Memories 1954–1978
- Fields Definable in Simple Groups
- A Combinatory Algebra for Sequential Functionals of Finite Type
- Model Theory of Analytic and Smooth Functions
Summary
Abstract
There are largely separate psychological literatures on logical reasoning and on decision making. This division has limited psychological theories in both areas, and particularly held up the study of ordinary deductive reasoning. People do not ordinarily reason from a restricted set of arbitrary assumptions taken, in effect, to be certainly true. Much more often, they try to perform inferences from all their relevant beliefs, holding few of these with absolute confidence, or they perform inferences from statements made to them, and treat few of these as absolutely reliable. They recognise that their premises have some degree of probability or uncertainty, and they consequently have more or less confidence in them. This affects their confidence in, and probability judgements about, their conclusions. People also face the problem of getting evidence to assess how probable or uncertain their premises are, and this calls for further probability judgements, as well as utility judgements and decision making. Much better understanding of people's deductive reasoning in realistic contexts will be achieved by integrating research on it with research on decision making and probability and utility judgments.
Introduction
There has been extensive psychological research on people's ability at deductive reasoning (Evans, Newstead, Byrne, 1993), but this field has been largely separate from psychological research on human probability judgements and decision making (Baron, 1994). There have been some attempts recently to integrate these fields (Evans and Over, 1996a), but the division between them has limited psychological theories in both, and has been especially harmful to the study of ordinary logical reasoning.
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- Models and Computability , pp. 313 - 338Publisher: Cambridge University PressPrint publication year: 1999
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