Sentence 1: Critics scoff at high-tech guru Esther Dyson's claims that the Internet will expand democracy, build communities, and liberate workers.

Sentence 2: Esther Dyson's claims that the Internet will expand democracy.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: well i haven't had too much of a chance to watch TV lately so probably everything i'm going to say is kind of dated

Sentence 2: I have not watched TV a lot recently.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: Of the leaders, Eamon De Valera was spared, probably because he was an American citizen, and Markievicz, because the British did not want to execute a woman.

Sentence 2: Eamon De Valera was grateful for the fact that he was spared execution.
Is this second sentence entailed by the first?

Answer:
it is not possible to tell