Question

1. It is neither hot nor warm.

(In this sentence, what does 'nor' mean?
Does 'nor' mean 'and - not'?)

2. I don't like pears.
- Me neither.
- The same to me.
- I don't like pears, either.
- I don't like them, either.

(Are the answers all grammatical?)

Answer 1

1. Yes, "nor" means "and not." With "neither," this is an example of a correlative conjunction.
http://grammar.ccc.commnet.edu/grammar/conjunctions.htm#correlative_conjunctions

2. The first is often used casually (but is grammatically incorrect). The 3rd and 4th choices are the best.