Hey, guess what I just found out? Onelook now has Cambridge Advanced Learner's Dictionary as a choice; I tried it, and it will actually let you see the word in the Visual Thesaurus. (I don't subscribe, so all my other efforts have failed since it stopped being free.)

I wasn't impressed, though, that the Cambridge didn't give the origin for valid, so I went to AHD, which offered:
ADJECTIVE:

1. Well grounded; just: a valid objection.
2. Producing the desired results; efficacious: valid methods.
3. Having legal force; effective or binding: a valid title.

4. Logic
a. Containing premises from which the conclusion may logically be derived: a valid argument.
b. Correctly inferred or deduced from a premise: a valid conclusion.

5. Archaic Of sound health; robust.

--------------------------------------------------------------------------------
ETYMOLOGY:
French valide, from Old French, from Latin validus, strong, from valre, to be strong; see wal- in Indo-European roots