The Logic of Reliable Inquiry
Kevin T. Kelly
New York: Oxford, 1996.
Contents
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Reliable Inquiry
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Background Assumptions
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Methods and Data Streams
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Data Protocols
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Truth and Global Underdetermination
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The Philosophy of Global Underdetermination
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The Philosophy of Local Underdetermination
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Scientific Realism, Probability, and Subjunctives
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The Logic of Reliable Inquiry
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The Demons of Passive Observation
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Introduction
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Decidability with a Deadline
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Decidability, Verifiability, and Refutability with Certainty
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Verification, Refutation, and Decision in the Limit
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Decision with n Mind Changes
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Gradual Verification, Refutation, and Decision
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Optimal Background Assumptions
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Topology and Ideal Hypotheis Assessment
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Introduction
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Basic Topological Concepts
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The Baire Space
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Restricted Topological Spaces
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A Characterization of Bounded Sample Decidability
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Characterization of Certain Assessment
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Characterizations of Limiting Assessment
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Efficient Data Use
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A Characterization of n-Mind-Change Decidability
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A Demon-Oriented Characterization of n-Mind-Change Decidability
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Characterizations of Gradual Assessment
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The Levels of Underdetermination
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Reducibility and the Game of Science
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Introduction
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Ideal Inductive Methods as continuous Operators on the Baire Space
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Assessment as Reduction
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Ideal Transcendental Deductions as Completeness Theorems
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Inductive Demons as Continuous Counterreductions
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Science as a Limiting Game
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The Demons of Computability
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Introduction
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Church Meets Hume
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Programs as Reliable Methods
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The Arithmetical Hierarchy
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Uncomputability and Diagonalization
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The Demons of Uncomputability
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Some Disanalogies
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Computers in Search of the Truth
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Ideal Epistemology and Computability
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Computation as Internalized Inductive Inquiry
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The ARithmetical Hierarchy over the Baire Space
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Universal Relations and Hierarchy Theorems
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Characterization Theorems
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Data-Minimal Computable Methods
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The Empirical Irony of Cognitive Science
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The Computable Assessment of Uncomputable Theories
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Ideal Norms and Computational Disasters
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Computable Inquiry
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So Much Time, Such Little Brains
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Introduction
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Finite State Automata
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Regular Sets
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Scientific Automata
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Scientific Automata and Certainty
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Scientific Automata in the Limit
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Limiting Regular Expressions
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w-Expressions
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The Inductive Power of Indeterminism
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Primitive Recursion
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The Empirical Irony of Cognitive Science Revisited
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The Logic of Ideal Discovery
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Introduction
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Basic Definitions
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Assessment as Discovery
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Conjecturs and Refutations
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A Complete Architecture for Discovery
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Data-Minimal Limiting Discovery
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Discovery with Bounded Mind Changes
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A Characterization of Almost Stable Identification in the Limit
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Unstable Idnetification in the Limit
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Gradual Identification
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Computerized Discovery
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Introduction
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Computable Hypothesis Enumeations
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Characterization
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Function Identification
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Cognitive Science Revisitied
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Prediction
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Introduction
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Ideal Extrapolation
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Computable Extrapolation
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Inquiry Concerning First-Order Theories
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Introduction
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Logical Hypothsis Assessment from Complete, True Data
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Truth and Underdetermination
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Quantifier PRefix Complexity
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An Example
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Data Complexity
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Theories and Axiomatizations
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Theory Discovery
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Discovery and Vocabulary
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Probability and Reliability
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Introduction
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Conditionalization
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Probabilistic Reliability
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Countable Additivity
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Probabilistic Reliability without Countable Additivity
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Probabilistic Mathematics and Nonprobabilistic Science
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Probabilistic Theories
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Conclusion
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Proofs
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Experiment and Causal Inference
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Introduction
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Systems
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Causation and Manipulation
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Variable Causation
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Experimental Methods
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The Course of Experimental Inquiry
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Hypothesis Correctness and Backgrond Knowledge
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Experimental Reliability
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Dreaming and the Principle of Plenitude
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Weakened Assumptions and Global Underdetermination
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Relativism and Reliability
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Introduction
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Relativism, Truth and Interpersonal Agreement
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Relativisitc Reliabilism
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Functional vs. Metaphysical Relativism
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Causal vs. Semantic Relativism
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Acts, Scientists, and Worlds-in-themselves
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Transcendental Backgrond Knowledge
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The Course of Relativistic Inquiry
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Relativistic Hypothesis Assessment
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Relativistic Hypothesis Assessment as Nonrelativistic Discovery
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Relativistic Theory Discovery
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Whiggish Relativism
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Closing Conversation