The Foundations of Mathematics and Other Logical Essays

adjective alternative analysis arguments assert atomic fact atomic functions atomic propositions Axiom of Infinity Axiom of Reducibility C. D. Broad C. K. Ogden C₁ Cæsar causal law chance classes consider consistency contain contradiction corresponding deduced defined definition degree of belief difficulty distinction elementary function elementary propositions equivalent explain express agreement false feeling finite number formal logic formula functions of functions functions of individuals G. E. Moore given I. A. Richards identity induction infinite instance involved Keynes logical sum mathematics meaning merely names not-p objects occur partial belief philosophy possible predicative functions primary system Principia Mathematica probability propositional function Psychology real numbers reason regard relation Russell Russell's secondary system sense sentence simply Socrates sort suppose tautology theorem theory things tions true truth truth-function truth-possibilities universe values variable hypothetical Wittgenstein y₁