Full Idea
The logical positivists brought geometry into the fold of logicism. The axioms of, say, Euclidean geometry are simply definitions of primitive terms like 'point' and 'line'.
Gist of Idea
Logical positivists incorporated geometry into logicism, saying axioms are just definitions
Source
report of Rudolph Carnap (Empiricism, Semantics and Ontology [1950]) by Stewart Shapiro - Thinking About Mathematics 5.3
Book Reference
Shapiro,Stewart: 'Thinking About Mathematics' [OUP 2000], p.129
A Reaction
If the concept of 'line' is actually created by its definition, then we need to know exactly what (say) 'shortest' means. If we are merely describing a line, then our definition can be 'impredicative', using other accepted concepts.