1. You can read whatever magazine you like.

2. You are able to read whatever magazine you like.

3. You may read whatever magazine you like.

4. You are allowed to read whatever magazine you like.

(Does #1 mean #2 or #3?)

1 and 2 mean exactly the same thing. The words "can" and "are able" mean the same thing.

The word "may," however, means you have permission to do whatever the action is. So 3 and 4 mean the same thing as each other.

To determine whether sentence 1 means sentence 2 or sentence 3, we need to consider the meaning of the words used.

1. "You can read whatever magazine you like."

The word "can" suggests ability or capability. In this context, it implies that there are no restrictions or limitations preventing you from reading any magazine that you prefer.

2. "You are able to read whatever magazine you like."

The phrase "are able to" expresses the same idea as "can." It indicates that there are no obstacles or hindrances preventing you from reading any magazine you choose.

3. "You may read whatever magazine you like."

The word "may" suggests permission or allowance. In this context, it means that you have the authorization or consent to read any magazine you prefer.

Based on these explanations, sentence 1 (#1) can be interpreted as having the same meaning as both sentence 2 (#2) and sentence 3 (#3). All three sentences convey the idea that you have the ability or permission to read any magazine you like.