Question
Download Solution PDFIf the proposition "Some fishes are not egg-laying animals" is given as true, then which of the following propositions could be immediately inferred to be false?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is All fishes are egg-laying animals..
Key Points If the proposition "Some fishes are not egg-laying animals" is given as true, then the proposition "All fishes are egg-laying animals" could be immediately inferred to be false.
- The given proposition "Some fishes are not egg-laying animals" indicates that there exists at least one fish that does not lay eggs. This means that there is a subset of fishes that are not included in the category of egg-laying animals.
- If the proposition "All fishes are egg-laying animals" were true, it would mean that every single fish belongs to the category of egg-laying animals.
- However, since we have established that at least one fish does not lay eggs (as per the given proposition), the statement "All fishes are egg-laying animals" cannot be true.
Therefore, the proposition "All fishes are egg-laying animals" can be immediately inferred to be false based on the given information
Last updated on Jun 6, 2025
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