He received a traditional Jewish education under his father,[5] but also acquired extensive knowledge in secular subjects like algebra, engineering, astronomy, philosophy, grammar, logic, and modern languages.
[7] Solomon Chelm's main literary contribution is his Merkevet ha-mishneh (Frankfort-on-the-Oder, 1751), containing novellæ on the four divisions of Maimonides' Yad.
A second edition, revised and published in three parts (Salonica, 1777–78), includes a defense of Maimonides against the strictures of Abraham ben David.
His other rabbinic works include Shulḥan atze shitim (Berlin, 1762), novellæ on the laws of Shabbat; Sha'are Ne'imah (Frankfort-on-the-Oder, 1766), a treatise on accentuation in the Nevi'im, edited by his student[9] Solomon Dubno;[10] Berakhot be-ḥeshbon, a pamphlet on Talmudic arithmetic and geometry; and Tzintzenet ha-man, on aggadah in the Talmud.
[11] His unpublished works include Ḥug ha-aretz, on the geography of Palestine;[6][12] Asarah shulḥanot, novellæ on the four parts of the Shulḥan Arukh; and Lev Shelomoh, a collection of thirty-two responsa.