Solicitor General for Scotland – John Sinclair, jointly with Charles Erskine
Judiciary
Lord President of the Court of Session – Lord North Berwick
Lord Justice General – Lord Ilay
Lord Justice Clerk – Lord Grange
Events
8 January – two women arrested in Edinburgh for wearing men's clothing.
6 August – Royal Infirmary of Edinburgh established as the "Hospital for the Sick Poor" or "Physicians' Hospital" in Edinburgh.
Mackintosh of Borlum publishes An essay on ways and means for inclosing, fallowing, planting, &c. Scotland; and that in sixteen years at farthest, "by a lover of his country", in Edinburgh.
Births
October – Sir William Pulteney, 5th Baronet, born William Johnstone, advocate, landowner and politician (died 1805 in London)
William Buchan, physician (died 1805 in London)
John Moore, physician and writer (died 1802 in London)
Deaths
21 March – John Law, economist (born 1671; died in Venice)
13 September – Colen Campbell, architect (born 1676; died in London)
Gershom Carmichael, philosopher (born c. 1672)
Sìleas na Ceapaich, Gaelic poet (born c. 1660)
The arts
Society of St. Luke, Scotland's first art institute, established in Edinburgh.