Full Idea
Given all true atomic propositions, together with the fact that they are all, every other true proposition can theoretically be deduced by logical methods.
Gist of Idea
Given all true atomic propositions, in theory every other truth can thereby be deduced
Source
Bertrand Russell (Intro to 2nd ed of Principia Mathematica [1925], p.xv)
Book Reference
Wittgenstein,Ludwig: 'Tractatus Logico-Philosophicus (Pears)', ed/tr. Pears,D. /McGuinness,B. [RKP 1961], p.15
A Reaction
This is evidently his strongest statement of the ideal underlying logical atomism. The atoms were initially sense-date, but then became atomic propositions saying an object has a property.