Asked by Frealon Thomas on Jul 09, 2024

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Which of the following is the best description of contingent statement in the Logic of Statements? "A grammatically correct expression ___________________.

A) used to assert that if an antecedent statement is true, then a consequent statement is true
B) that turns out to be false under every possible assignment of truth values to its component simple statements
C) that turns out to be true under at least one possible assignment of truth values to its component simple statements and false under another possible assignment of truth values to its component simple statements
D) that turns out to be true under every possible assignment of truth values to its component simple statements

Contingent Statement

In the Logic of Statements means a grammatically correct expression that turns out to be true under at least one possible assignment of truth values to its component simple statements and false under another possible assignment of truth values to its component simple statements.

Truth Values

The attribution of truth or falsity to propositions or statements, which in classical logic are typically denoted as true or false.

  • Identify the differences between tautologies, contradictions (referred to as inconsistent statements), and statements that are contingent.
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Verified Answer

JS
Julia SimoesJul 11, 2024
Final Answer :
C
Explanation :
A contingent statement is a statement that is neither always true nor always false, but depends on the truth values of its components. Option C states that a contingent statement can be true under one assignment of truth values and false under another, which is the best description of a contingent statement. Option A describes a conditional statement, option B describes a contradiction, and option D describes a tautology. None of these options accurately describe a contingent statement.