Sentence 1: By all means enjoy them, just stop once in a while to explain to your kids that the Care Bears and Flipper aren't the real thing.

Sentence 2: Your kids will be ok even if you don't explain reality to them.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: It was on this hill that Jesus gave his famous Sermon on the Mount (Matthew 5:2-12) and also chose his disciples.

Sentence 2: On this hill, there is more information about the Sermon of Mounts and Jesus' disciples.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: they're on weekdays at eleven o'clock everyday Monday through Friday

Sentence 2: They're on exclusively on Saturday and Sunday.
Is this second sentence entailed by the first?

Answer:
no