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.
Similar Questions
Match List I with List II
Identify the propositions and match the followings.
LIST I
A. Exceptive proposition
B. Categorical Proposition
C. General Proposition
D. Compound propositon
LIST II
I. Ten is greater than five.
II. If the war is declared then petrol prices will go up.
III. The wicked alone are happy.
IV. All mathematicians are skilled logicians.
Choose the correct answer from the options given below:Which of the following statements is logically equivalent to the statement - "All women are honest human beings"
Which of the following statement is logically equivalent to "No birds are mammals"?
Which of the following statements is contrapositive to the following statement - "Some dogs are not aggressive animals"?
Which of the following statements are logically equivalent ?
A. Some fishes are not amphibians.
B. Some fishes are amphibians.
C. Some fishes are non-amphibians.
D. Some non-amphibians are not non-fishes.
Choose the correct answer from the options given below:
Which of the following refers to an attribute of every categorical proposition which is determined by whether the proposition affirms or denies class inclusion?
Which of the following is converse of 'Some S is P'?
In the statement “No dogs are reptiles”, which terms are distributed?
'All Judges are fairminded' is an example of __________ proposition.
The proposition 'Some trees are green' is equivalent to which of the following propositions?
(a) Many trees are green.
(b) Some green things are trees.
(c) Some green things are not non-trees.
(d) Trees are usually green.
Select the correct answer from the options given below:
Important Questions from Structure of Categorical Propositions
- Which of the following statements are logically equivalent?
A. All poems are artworks.
B. No non-poems are non-artworks.
C. Some poems are artworks.
D. All non-artworks are non-poems.
Choose the correct answer from the options given below: - In a categorical proposition, the subject and predicate are connected by :
- If the statement "Some animals are not birds" is given as false, which of the following statements can be inferred to be true?
A. All animals are birds.
B. No birds are animals.
C. No animals are birds.
D. Some animals are birds.
Choose the correct answer from the options given below: Match List - I with List - II :
List - I
(Figures of Categorical Syllogism)List - II
(Structure)A. First I. M-P, S-M $\rightarrow$ S-P B. Second II. P-M, S-M $\rightarrow$ S-P C. Third III. M-P, M-S $\rightarrow$ S-P D. Fourth IV. P-M, M-S $\rightarrow$ S-P
Choose the correct answer from the options given below :Match List I with List II
Identify the propositions and match the followings.
LIST I
A. Exceptive proposition
B. Categorical Proposition
C. General Proposition
D. Compound propositon
LIST II
I. Ten is greater than five.
II. If the war is declared then petrol prices will go up.
III. The wicked alone are happy.
IV. All mathematicians are skilled logicians.
Choose the correct answer from the options given below:
