The logical connective "IF-THEN" is also known as:a.Conjunctionb.Disjunctionc.Negationd.Implication
Question
The logical connective "IF-THEN" is also known as:
a. Conjunction
b. Disjunction
c. Negation
d. Implication
Solution
The logical connective "IF-THEN" represents a conditional statement that connects two propositions in a way that expresses a dependency between them.
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Understanding Logical Connectives: Logical connectives are used in propositional logic to form compound statements from simpler ones. The main types include conjunction (AND), disjunction (OR), negation (NOT), and implication (IF-THEN).
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Definition of Implication: The "IF-THEN" statement is specifically known as an implication. In logical terms, if we denote two propositions as and , the statement "IF THEN " is represented as . This means that if is true, then must also be true.
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Examining the Options:
- a. Conjunction: Represents the logical AND, which is true only if both propositions are true.
- b. Disjunction: Represents the logical OR, which is true if at least one of the propositions is true.
- c. Negation: Represents the logical NOT, which negates the truth value of a proposition.
- d. Implication: Represents the logical IF-THEN, which is true unless a true proposition leads to a false one.
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Conclusion: By analyzing the definitions, it is clear that the "IF-THEN" logical connective is best represented by "Implication."
Final Answer
The logical connective "IF-THEN" is also known as d. Implication.
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