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Hypothesis

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Math for Non-Math Majors

Definition

A hypothesis is a proposed explanation for a phenomenon or a starting point for further investigation. It is often used in logical reasoning and compound statements to form conditional statements.

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5 Must Know Facts For Your Next Test

  1. A hypothesis is usually formed as an 'if-then' statement.
  2. It serves as the antecedent in a conditional statement.
  3. In logic, it must be testable and falsifiable.
  4. The truth value of a hypothesis can influence the truth value of the compound statement it is part of.
  5. Understanding hypotheses is crucial for constructing valid arguments and proofs.

Review Questions

  • What role does a hypothesis play in a conditional statement?
  • Why must a hypothesis be testable and falsifiable in logical reasoning?
  • How does the truth value of a hypothesis affect the overall compound statement?
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