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Deductive arguments

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Math for Non-Math Majors

Definition

Deductive arguments are logical processes in which a conclusion follows necessarily from the given premises. If the premises are true and the argument is valid, the conclusion must also be true.

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5 Must Know Facts For Your Next Test

  1. Deductions move from general premises to a specific conclusion.
  2. A valid deductive argument ensures that if the premises are true, the conclusion cannot be false.
  3. Soundness in deductive arguments requires both validity and true premises.
  4. Syllogisms are a common form of deductive reasoning involving two premises leading to a conclusion.
  5. In formal logic, deductive arguments are evaluated based on their form rather than content.

Review Questions

  • What distinguishes a valid deductive argument from an invalid one?
  • How does soundness differ from validity in deductive arguments?
  • Can you provide an example of a syllogism?

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