validly

The contract was validly signed by both parties.

She validly obtained her driver's license.

The ticket was validly issued for the event.

He validly proved his identity with the required documents.

The warranty is validly applied to all purchases.

The coupon must be validly used before the expiration date.

The decision was validly made by the committee.

The software license was validly renewed for another year.

The signature was validly witnessed by a notary public.

The insurance policy was validly activated upon payment.

But they actually exist, and quite validly at other levels.

We may say: 'Derivative knowledge is what is validly deduced from premisses known intuitively'.

Thus we shall have to amend our definition by saying that knowledge is what is validly deduced from known premisses.

But are we to say that nothing is knowledge except what is validly deduced from true premisses? Obviously we cannot say this. Such a definition is at once too wide and too narrow.