Provability, Computability and Reflection

algebra analysis argument schema assume assumptions atomic axioms Carnap causal cell coherence conditions complete computability predicate concept consider construction corresponding deductive defined definition derived determined diophantine diophantine equations elements empirical equations example exists experience explanation expressed fact finite formal formula function genetics given HEGEL hence hypothesis inductive inference integers interpretation intuitionistic kind knowledge laws Lemma lexical linguistic logic mathematical means Mendelian Mendelian genetics method methodological microtheory natural languages natural numbers notion object observation observation sentences occur particular Philosophy of Science physical possible predicate Prewellordering principle probabilistic probability probability theory problem problem of induction proof proof theory propensity proposition quantum mechanics question reason recursive relative rules satisfies scientific semantic sense sentences sequence social specific properties statements statistical structure theorem theory tion true Turing machine University variables