Sentence 1: Such thought-projectors may be part of the science they will give us."

Sentence 2: They will not give us a single part of their science.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: To illustrate the complexities in evaluating how traditional program reforms might affect national saving, let's examine two basic options that would directly improve Social Security's financial imbalance-increasing payroll taxes and reducing benefits.

Sentence 2: Reducing Social Security benefits would improve its financial weaknesses, but it wouldn't be popular with the public.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: Can't say as how I'd like to find out the truth.

Sentence 2: I'd like to find out the truth, but can't say how I'd do it.
Is this second sentence entailed by the first?

Answer:
yes