For the first time Russell propounded his mature views on Logical Atomism in a series of lectures, delivered in London, in the year 1918. Later on, the University of Minnesota published them under the title, The Philosophy of Logical Atomism. Russell was an eminent mathematician.
He developed his Philosophy of Logical Atomism as a consequence of his deep and penetrating studies in the philosophy of mathematics. By atom Russell meant that point in analysis where further analysis is not possible. In other words, logical atom is the irreducible element of logical analysis.
Thus, Russell tries to find irreducible elements through logical analysis instead of physical or chemical analyses. Russell writes, “The reason that I call my doctrine logical atomism is because, the atoms that I wish to arrive at as the sort of last residue in analysis are logical atoms and not physical atoms.”