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True or false? Postulates are statements that are accepted without question or justification.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Question

True or false?

Postulates are statements that are accepted without question or justification.

A. True
B. False

SUBMIT
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Solution

Analysis of the Statement

The statement claims that postulates are statements that are accepted without question or justification. To determine whether this is true or false, we need to consider the definition of postulates in mathematics and logic.

  1. Definition of Postulates:

    • In mathematics, postulates (or axioms) are fundamental principles that are assumed to be true without proof. They serve as the foundation for further reasoning and arguments within a particular mathematical framework.
  2. Acceptance and Justification:

    • Postulates are indeed accepted as true without requiring justification. They are the starting points for logical reasoning and cannot be proven within the system that they define.
  3. Context in Various Fields:

    • In geometry, for example, Euclid's postulates define the basic properties of points, lines, and planes, which are accepted without proof to build theorems and further concepts.

Conclusion

Given that postulates are defined as statements accepted without question or justification, the statement presented in the question is correct.

Final Answer

A. True

This problem has been solved

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