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Book ChapterDOI

The Development of Conditional Reasoning: An Iffy Proposition

TLDR
This chapter attempts to make some sense of the competing claims concerning conditional-reasoning competence, and concludes that the appropriate assessment of formal operational competency with conditionals appears to concern performances in judging universally quantified conditionals.
Abstract
Publisher Summary This chapter attempts to make some sense of the competing claims concerning conditional-reasoning competence. The competence model is based on the natural deduction approach to standard logic; modus ponens and the schema for conditional proof provide inference rules for simple conditionals and, together with the recognition of the constraints imposed by universal quantification, they provide a model for reasoning with universally quantified conditionals. Piaget's account of conditional reasoning is inadequate on logical grounds, that is, it confuses simple and quantified conditionals, but it is possible to make fairly clear empirical predictions when quantifiers are assumed. Ennis and Brainerd have argued that Piaget's account of formal operational thought is wrong because children have some ability to evaluate conditional syllogisms correctly. However, Piaget argued that successful performances on many conditional reasoning tasks can be obtained without a formal operational appreciation of the conditional. Given that the class-inclusion logic structure of concrete operational thought should be sufficient for reasoning with simple conditionals; this does not appear to be a warranted dismissal of the theoretical expectations. Rather, the appropriate assessment of formal operational competency with conditionals appears to concern performances in judging universally quantified conditionals.

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Journal ArticleDOI

Conditionals: A Theory of Meaning, Pragmatics, and Inference

TL;DR: In a celebrated trial, Harr as discussed by the authors elicited the following information from an expert witness about the source of a chemical pollutant trichloroethylene (TCE): If the TCE in the wells had been drawn from out of the river, then there would be TCE on the riverbed. But there was no TCE at all.
Journal ArticleDOI

A Theory of If: A Lexical Entry, Reasoning Program, and Pragmatic Principles

TL;DR: The theory of conditional proof as discussed by the authors is based on a set of pragmatic principles that govern how an if sentence is likely to be interpreted in context, and it is defined by a lexical entry that defines the information about if in semantic memory.
Reference EntryDOI

The Second Decade: What Develops (and How)

TL;DR: In this article, the authors examine aspects of cognitive development that may be unique to the second decade of life, a time when the nature and directions of development become less universal and more variable.
Journal ArticleDOI

Why models rather than rules give a better account of propositional reasoning: A reply to Bonatti and to O'Brien, Braine, and Yang

TL;DR: The authors show that O'Brien et al.'s experiments do not refute the model theory and that Bonatti's claims are ill founded, and that formal rule theories of prepositional reasoning have three major weaknesses in comparison with model theory: (a) they have no decision procedure; (b) they lack predictive power, providing no account of several robust phenomena; and (c) as a class of theories, they are difficult to refute experimentally.
Journal ArticleDOI

The effect of premise order in conditional reasoning: a test of the mental model theory.

TL;DR: It is predicted that conditions in which reasoners are forced to represent the not-q case should improve correct performance on modus tollens and that the presentation of the minor premise (not-q) as the initial premise should produce facilitation.
References
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Journal Article

The magical number seven, plus or minus two: some limits on our capacity for processing information

TL;DR: The theory of information as discussed by the authors provides a yardstick for calibrating our stimulus materials and for measuring the performance of our subjects and provides a quantitative way of getting at some of these questions.
Book

The magical number seven plus or minus two: some limits on our capacity for processing information

TL;DR: The theory provides us with a yardstick for calibrating the authors' stimulus materials and for measuring the performance of their subjects, and the concepts and measures provided by the theory provide a quantitative way of getting at some of these questions.
Book ChapterDOI

Logic and conversation

H. P. Grice
- 12 Dec 1975 - 
Journal ArticleDOI

Reasoning about a rule

TL;DR: It is argued that the subjects did not give evidence of having acquired the characteristics of Piaget's “formal operational thought,” and it is suggested that the difficulty is due to a mental set for expecting a relation of truth, correspondence, or match to hold between sentences and states of affairs.

The cognitive basis for linguistic structures

TL;DR: The authors explored the ways in which specific properties of language structure and speech behavior reflect certain general cognitive laws, and found that actual speech behavior is some regular function of the abstract linguistic structure originally isolated in linguistic investigations.