gratuitously

aiheettomasti, turhaan, tarpeettomasti freely Freely; in the manner of a gift, without being earned.
(quote-text)|title=s:Walden Walden|chapter=1|passage=We should feed and clothe him gratuitously sometimes, and recruit him with our cordials, before we judge of him.
In a manner not demanded by the circumstances, without reason, justification, cause, or proof.
1881, w:Samuel Tolver Preston|Samuel Tolver Preston, “s:On Action at a Distance (Preston)|On Action at a Distance”, Philosophical Magazine 15:38-39

Secondly, Mr. Browne concludes, apparently rather gratuitously, on page 441 as follows(..)