The phrase "atomic fact" is correct and usable in written English.
It can be used in contexts related to philosophy, science, or discussions about fundamental truths or basic units of information.
Example: "In his theory, he argued that an atomic fact is the simplest form of reality that cannot be broken down further."
Alternatives: "fundamental truth" or "basic fact".
"The atomic fact," he said.
Better yet, Albania"), and his supposed connection to their logic professor, Ilgauskas (a virile mystagogue given to whole-sentence pronouncements like "The causal nexus" and "The atomic fact").
"What's the baby's name?" Their restless fantasies come to center on "the hooded man," an elderly gentleman in an anorak ("He doesn't have the bearing of a Russian.... Think about Romania, Bulgaria. Better yet, Albania"), and his supposed connection to their logic professor, Ilgauskas (a virile mystagogue given to whole-sentence pronouncements like "The causal nexus" and "The atomic fact").
An atomic proposition is true when it corresponds to a positive atomic fact.
The truth or falsity of an atomic proposition would depend entirely on a corresponding atomic fact.
(For simplicity, we stipulate that an atomic fact has (only) itself as a conjunct and, hence, is "trivially" molecular).
On the linguistic level, the atoms in question are atomic propositions, the simplest statements that it is possible to make about the world; and on the level of what language talks about, the atoms are the simplest atomic facts, those expressible by atomic propositions.
Together these atoms and their properties form the atomic facts which, in turn, combine to form logically complex objects.
According to logical atomism, all truths are ultimately dependent upon a layer of atomic facts, which consist either of a simple particular exhibiting a quality, or multiple simple particulars standing in a relation.
Atomic propositions themselves, however, are composed of strings of names that function, as Russell explained, in the strict logical sense; and atomic facts are composed of simple objects, the things that can thus be named.
A molecular fact f is a conjunction of atomic facts.
