Name the fallacy committed in the argument
All dogs are mammals.
No cats are dogs.
Therefore, no cats are mammals.

Choose the correct answer from the options given below.

The correct answer is Illicit Major.

To understand why this argument commits the fallacy of the Illicit Major, let us analyze the structure of the given syllogism step-by-step.

First, we identify the terms in the argument:
1. Major Term: The predicate of the conclusion, which is "mammals".
2. Minor Term: The subject of the conclusion, which is "cats".
3. Middle Term: The term that appears in both premises but not in the conclusion, which is "dogs".

Next, we write down the premises and the conclusion to check the distribution of terms:
- Major Premise: "All dogs are mammals."
This is an A-proposition (All S is P). In an A-proposition, the subject ("dogs") is distributed, but the predicate ("mammals") is undistributed.
- Minor Premise: "No cats are dogs."
This is an E-proposition (No S is P). In an E-proposition, both the subject ("cats") and the predicate ("dogs") are distributed.
- Conclusion: "Therefore, no cats are mammals."
This is also an E-proposition (No S is P). Thus, both the subject ("cats") and the predicate ("mammals") are distributed in the conclusion.

Now, we apply the rules of a valid categorical syllogism regarding distribution:
According to the rules of syllogistic logic, any term that is distributed in the conclusion must also be distributed in its corresponding premise. If a term is distributed in the conclusion but is undistributed in the premise, a fallacy is committed.

Comparing the distribution of the major term ("mammals"):
- In the major premise ("All dogs are mammals"), the term "mammals" is undistributed.
- In the conclusion ("no cats are mammals"), the term "mammals" is distributed.

Since the major term ("mammals") is distributed in the conclusion but not in the major premise, the argument commits the formal fallacy of the Illicit Process of the Major Term, commonly referred to as the Illicit Major.