The Foundations of Mathematics and Other Logical Essays, 5. köidePsychology Press, 2000 - 292 pages This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations. |
Contents
THE FOUNDATIONS OF MATHEMATICS 1925 | 26 |
MATHEMATICAL LOGIC 1926 | 62 |
ON A PROBLEM OF FORMAL LOGIC 1928 | 82 |
UNIVERSALS 1925 | 112 |
Unpublished Papers | 150 |
FURTHER CONSIDERATIONS 1928 | 199 |
Chance | 206 |
LAST PAPERS 1929 | 212 |
Probability and Partial Belief | 237 |
APPENDIX CRITICAL NOTICE OF L WITTGENSTEINS | 270 |
EPILOGUE | 287 |
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Common terms and phrases
adjective alternative analysis arguments assert atomic fact atomic functions atomic propositions atomic sentences Axiom of Infinity Axiom of Reducibility C₁ Cæsar causal law chance classes consider consistency contain contradiction corresponding deduced defined definition degree of belief difficulty distinction elementary function elementary propositions equivalent existential proposition explain express agreement false feeling finite number follows formal logic formula functions of functions functions of individuals give given identity induction infinite instance involved Keynes logical constants logical sum mathematics meaning merely names not-p objects occur partial belief philosophy possible predicative functions primary system Principia Mathematica probability propositional function question real numbers reason regard relation Russell Russell's secondary system seems sense sentence simply Socrates sort sub-class suppose tautology theorem theory things tions true truth truth-function truth-possibilities universe values variable hypothetical Wittgenstein y₁