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Related Concept Videos

Deductive Reasoning01:16

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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 as compared to inductive reasoning, which means that it uses a general principle or law to predict specific results. From those general principles, a scientist can deduce and predict the specific results that would be valid as long as the general principles are valid.
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Inductive Reasoning00:59

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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.
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Reasoning01:30

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Reasoning is the action of thinking about something in a logical, sensible way. It is integral to problem-solving, decision-making, and critical thinking. Reasoning can be inductive or deductive. Reasoning involves transforming information into conclusions, which is essential for problem-solving, decision-making, and critical thinking.
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In order to make good decisions, we use our knowledge and our reasoning. Often, this knowledge and reasoning is sound and solid. However, sometimes, we are swayed by biases or by others manipulating a situation. For example, let’s say you and three friends wanted to rent a house and had a combined target budget of $1,600. The realtor shows you only very run-down houses for $1,600 and then shows you a very nice house for $2,000. Might you ask each person to pay more in rent to get the...
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Mathematical Induction01:29

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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...
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Inductive Effects on Chemical Shift: Overview01:27

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The protons in unsubstituted alkanes are strongly shielded with chemical shifts below 1.8 ppm. Methine, methylene, and methyl protons appear at approximately 1.7, 1.2 and 0.7 ppm, while the proton signal from methane appears at 0.23 ppm. An electronegative substituent, such as chlorine, withdraws the electron density from the protons, increasing their chemical shift. Progressive substitution of the hydrogens in methane by chlorine shifts the proton signals increasingly downfield, to 3.05 ppm in...
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Deductive updating is not Bayesian.

Henry Markovits1, Janie Brisson1, Pier-Luc de Chantal1

  • 1Université du Québec à Montréal.

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Deductive reasoning is distinct from probabilistic inference. This study shows that statistical information impacts logical validity judgments differently than probabilistic likelihood assessments, refuting Bayesian explanations for deductive updating.

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Area of Science:

  • Cognitive Psychology
  • Logic and Reasoning

Background:

  • A central debate in inferential reasoning contrasts counterexample-based theories (e.g., mental model theory) with probabilistic theories.
  • Understanding how people update conclusions with new statistical information is key to resolving this debate.

Purpose of the Study:

  • To investigate whether deductive reasoning can be explained by probabilistic inferences.
  • To examine conclusion updating after the addition of statistical information.

Main Methods:

  • Participants judged deductive validity and probabilistic likelihood of conclusions based on conditional rules ('If P then Q').
  • Statistical information (1,000 observations) was presented, varying the probability of the antecedent (P) given the consequent (Q).
  • A second study tested a different inference form ('If P then Q. P is false.') to replicate findings.

Main Results:

  • In a low-probability scenario (P rarely true when Q is true), both probabilistic ratings and logical validity judgments decreased.
  • In a high-probability scenario (P often true when Q is true), probabilistic ratings remained high, but logical validity judgments significantly decreased.
  • Confidence ratings aligned with the distinct patterns observed for probabilistic versus deductive inferences.

Conclusions:

  • Deductive updating of conclusions is not explicable by probabilistic (Bayesian) updating mechanisms.
  • The findings support the distinction between deductive and probabilistic reasoning processes.