Asked by Shana Whitby on Jul 14, 2024

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For compound propositions (disjunctive and hypothetical) , must their components always be categorical propositions?

A) Yes, because the component propositions are not being asserted.
B) Yes, and to be more precise, they must always be universal.
C) Yes, and to be more precise, they must always be particular.
D) No, because the component propositions can themselves be disjunctive or hypothetical.
E) No, because the component propositions are not being asserted.

Compound Propositions

Statements formed by combining two or more propositions with logical connectives, such as "and," "or," "if...then."

Categorical Propositions

Statements in logic that relate two categories or classes of things in an affirmative or negative manner.

Disjunctive

Pertaining to a logical relation that holds between two statements if at least one of them is true, most commonly represented by the "or" connective.

  • Understand the principles of disjunctive and hypothetical propositions.
  • Analyze compound propositions and their components.
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Verified Answer

CJ
Camryn JewellJul 19, 2024
Final Answer :
D
Explanation :
The components of compound propositions, such as disjunctive or hypothetical propositions, can themselves be of any form, including other compound propositions. This flexibility allows for complex logical structures beyond simple categorical propositions.