Sentence 1: After all, if spending money you don't really have is the key to prosperity, big government deficits would do the trick just as well.

Sentence 2: It's well known that prosperity comes from going heavily into debt that you can't pay back.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: they'd have him on a pedestal

Sentence 2: They'd put him on a pedestal because they love him.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: d) Is a capable adult, not--as her advocates claim--a naive child, defenseless against the president's wiles.

Sentence 2: She is a 23 year old young lady.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell