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Pseudo Problems in Philosophy
The rejection of metaphysics using the analytic/synthetic dichotomy and the verification principle.
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The Foundations of Mathematics
Logicism with added extracts of Formalism.
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Physicalism and the Unity of Science
Different branches of science are fundamentally parts of a single unified science of physical things (i.e. are reducible to physics).
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The Logical Syntax of Language
A purely analytic theory of the structure of linguistic expressions.
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Liberalisation of Empiricism
The abandonment of foundationalism and of the principle of verifiability.
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Semantics
Carnap broadens his metalingual theory to encompass semantics, with particular concern for the semantic definition of logical truth and the distinction between logical and factual truth.
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Language Planning
The principle of tolerance leads to linguistic pluralism and to the need for planning how a number of languages can be fitted together yielding a system fulfilling given desiderata.
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Probability and Inductive Logic
In order to support his analytic inductive logic Carnap developed a notion of logical or inductive probability.
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The Theoretical Language
Carnap considered the correct formal treatment scientific language using the concepts of theoretical physics and the relation of this language to observation language.
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Values and Practical Decisions
Notwithstanding his positivist view that value statements lack cognitive content Carnap thought values important.
He sought the improvement of the human condition, and advocated socialism and world goverment as ways of eliminating war and poverty.
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