Question
Download Solution PDFWhich of the following propositions is logically equvalent to the proposition - "All frogs are amphibians"?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF Key Points
- The proposition "All frogs are amphibians" can also be expressed in the form of "No frogs are non-amphibians" which is logically equivalent to the given proposition.
- This is because if all frogs are amphibians, then it is also true that no frogs can be anything other than amphibians.
- In other words, if something is not an amphibian, then it cannot be a frog.
- Therefore, the statement "No frogs are non-amphibians" is logically equivalent to "All frogs are amphibians".
- The given problem involves the square of opposition, which is a diagram representing the relationships between categorical propositions with the same subject and predicate.
- Specifically, it involves the conversion of the proposition
- "All frogs are amphibians" to its logically equivalent proposition, which is "No frogs are non-amphibians."
- This is an example of the conversion of an A proposition to an E proposition in the square of opposition.
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