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Related Concept Videos

Inductive Reasoning00:59

Inductive Reasoning

Inductive reasoning is a form of logical thinking that uses related observations to arrive at a general conclusion. It is uncertain and operates in degrees to which the conclusions are credible. As such, inductive arguments can be weak or strong, rather than valid or invalid, and conclusions can be used to formulate testable, falsifiable hypotheses.Inductive reasoning is common in descriptive science. A life scientist makes observations and records them. This data can be qualitative or...
Mathematical Induction01:29

Mathematical Induction

Mathematical induction is a structured method of proof used to confirm the truth of statements involving natural numbers. Consider the sum of the first n natural numbers:This formula describes a pattern that appears to hold true as more terms are added. To verify that it is valid for all natural numbers, mathematical induction proceeds in two essential steps. The first is the base case, where the formula is tested for the initial value, typically n = 1. Substituting into both sides confirms the...
Induction01:16

Induction

An emf is induced when the magnetic field in a coil is changed by pushing a bar magnet into or out of the coil. emfs of opposite signs are produced by motion in opposite directions, and the directions of emfs are also reversed by reversing poles. The same results are produced if the coil is moved rather than the magnet—it is the relative motion that is important. The faster the motion, the greater the emf. Additionally, there is no emf when the magnet is stationary relative to the coil.
A...
Deductive Reasoning01:16

Deductive Reasoning

Deductive reasoning, or deduction, is the type of logic used in hypothesis-based science. In deductive reasoning, the pattern of thinking moves in the opposite direction from inductive reasoning. It uses a general principle or law to predict specific results. From these general principles, a scientist can predict specific results that remain valid as long as the general principles are correct.For example, a researcher can make specific predictions from the hypothesis "butterflies are attracted...
Probability Laws01:49

Probability Laws

Overview
Introduction to Test of Independence01:21

Introduction to Test of Independence

In statistics, the term independence means that one can directly obtain the probability of any event involving both variables by multiplying their individual probabilities. Tests of independence are chi-square tests involving the use of a contingency table of observed (data) values.
The test statistic for a test of independence is similar to that of a goodness-of-fit test:

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Exploring the Role of Deontic Reasoning and World Knowledge in Wason´s Selection Task
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Exploring the Role of Deontic Reasoning and World Knowledge in Wason´s Selection Task

Published on: July 22, 2025

Induction as conditional probability judgment.

Sergey V Blok1, Douglas L Medin, Daniel N Osherson

  • 1Department of Psychology, University of Texas, Austin, Texas 78712, USA. blok@psy.utexas.edu

Memory & Cognition
|November 24, 2007
PubMed
Summary
This summary is machine-generated.

This study introduces a new model for category-based induction, focusing on reasoning with nonblank properties. The model accurately predicts how prior beliefs are updated based on new evidence, considering relevance and informativeness.

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Area of Science:

  • Cognitive Science
  • Psychology
  • Artificial Intelligence

Background:

  • Previous category-based induction research focused on 'blank' properties, limiting understanding of real-world reasoning.
  • Reasoning with 'nonblank' properties, which carry prior knowledge, is crucial for cognitive models.

Purpose of the Study:

  • To develop and validate a model for category-based induction using nonblank properties.
  • To explain how prior probabilities are updated based on premise evidence.

Main Methods:

  • Introduced a conditional probability model.
  • The model quantifies belief revision based on premise relevance and informativeness.
  • Tested the model using single- and two-premise conditionals and negative evidence.

Main Results:

  • An algebraic formulation with no free parameters accurately predicted conditional probabilities.
  • The model demonstrated predictive power across different experimental conditions, including negative evidence.

Conclusions:

  • The proposed model effectively captures reasoning with nonblank properties in category-based induction.
  • Belief revision is quantitatively explained by the relevance and informativeness of evidence.