Logical positivism - page 3
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Another great influence on logical positivism was exerted by the development of
formal logic. Carnap attended three courses on logic under the direction of G. Frege,
the father of modern logic. Frege asserted that all arithmetic statements are analytic
a priori, and thus he denied the existence of synthetic a priori statements
in arithmetic (however Frege regarded geometry as synthetic a priori).
Logical positivism had extensive contacts with the group of Polish logicians
(mainly Jan Lukasiewicz, Kazimierz Ajdukiewicz and Alfred Tarski), who developed
several branches of contemporary logic, like the algebra of logic, many-valued
propositional calculus and the theory of semantics in a formal language.
The influence of contemporary logic on logical positivism is also evident in the
name itself: Logical positivism.
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