Waxaa loo doortay in uu ka mid noqdo Akadeemiyada Qaranka ee Sayniska in 1879 iyo helay 1880 Rumford Prize ka Academy of Arts iyo Sayniska American for shaqada uu ku saabsan kiimikada thermodynamics. Waxa uu sidoo kale la gudoonsiiyay doctorates sharaf by Jaamacadda Princeton iyo Williams College. In Europe, Gibbs waxaa lagu soo bandhigay sida xubin ka mid ah sharaf London Mathematical Society ee 1892 oo loo doortay Xubin Shisheeye ee Royal Society ee 1897. Waxaa loo doortay sida xubin ka mid ah u dhiganta ee Prussian iyo Faransiis Academies of Science oo helay doctorates sharaf ka jaamacadaha Dublin, Erlangen, iyo Christiania (hadda Oslo).
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