What is the relationship established in the syllogism known as modus ponens?
Understand the Problem
The question is asking about the logical structure of modus ponens, specifically how it establishes relationships between propositions A and B. We need to identify the correct statement among the given options that describes modus ponens.
Answer
If 'If P, then Q' and P are true, then Q is true.
The relationship established in modus ponens is that if 'If P, then Q' is true, and P is true, then Q must also be true.
Answer for screen readers
The relationship established in modus ponens is that if 'If P, then Q' is true, and P is true, then Q must also be true.
More Information
Modus ponens, also known as the law of detachment, is a fundamental form of reasoning in logic that helps deduce conclusions from conditional statements.
Tips
A common mistake is confusing modus ponens with modus tollens, which instead deals with negating the consequent.
Sources
- What Is Modus Ponens? | Definition & Examples - QuillBot - quillbot.com
- Modus Ponens as Substitute for Syllogism - philosophy.stackexchange.com
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