The converse of "All cats are mammals" is
No mammals are cats
To find the converse of the statement "All cats are mammals," we need to understand what a converse statement is.
The converse of a statement is formed by swapping the subject and predicate of the original statement while retaining the logical form. The original statement "All cats are mammals" is of the form "All P are Q." The converse of this statement will be "All Q are P," which translates to "All mammals are cats."
Let us evaluate the given options to find the correct converse:
- Some mammals are not cats: This statement is of the form "Some Q are not P" and is neither a direct converse nor indirectly forms the converse.
- No mammals are cats: This statement is a negation and does not represent the converse properly.
- Some mammals are cats: This is of the form "Some Q are P." While it reflects part of the original statement, it is not a strict converse.
- All mammals are cats: This is of the form "All Q are P," which directly represents the converse of the original statement "All cats are mammals."
Thus, the correct answer for the converse of the statement "All cats are mammals" is "All mammals are cats." However, this option is missing in the given options, suggesting either an error in options or question comprehension. Nonetheless, a logical approach confirms this as the correct converse statement.
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List - I
(Figures of Categorical Syllogism)List - II
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