Wittgenstein and the Turning Point in the Philosophy of MathematicsShanker exposes the confusions underlying the currently prevailing interpretations of Wittgenstein. He shows how such approaches and their underlying critical frameworks are incapable of coming to terms with Wittgenstein's arguments in the philosophy of mathematics. This book explains not only Wittgenstein's approach, which was justly heralded as causing a turning point in the philosophy of mathematics, but also the philosophy of mathematics in general. |
Contents
III | 1 |
V | 13 |
VI | 25 |
VII | 39 |
VIII | 48 |
IX | 59 |
X | 75 |
XI | 88 |
XX | 194 |
XXI | 216 |
XXIII | 227 |
XXIV | 242 |
XXV | 255 |
XXVII | 270 |
XXVIII | 284 |
XXIX | 299 |
Other editions - View all
Wittgenstein and the Turning Point in the Philosophy of Mathematics S.G. Shanker Limited preview - 2013 |
Wittgenstein and the Turning Point in the Philosophy of Mathematics S.G. Shanker Limited preview - 2013 |
Wittgenstein and the Turning Point in the Philosophy of Mathematics S. G. Shanker Limited preview - 1987 |
Common terms and phrases
answer Anti-realist apply arbitrary argued arithmetic attack Basil Blackwell Beweissysteme calculus Cantor cardinal number certainly Chapter clarify concept concerned confusion consistency proof construction contradiction conventionalist conventions Critical Assessments distinction Dummett empirical propositions epistemological explained expression fact finite foundations crisis Foundations of Mathematics four-colour problem Frege G.E.M. Anscombe G.H. von Wright Gödel's grammar grasp Hence Hilbert's Ibid infinite series infinity interpretation issue Kripke Kripke's latter Logical Positivists logical syntax Ludwig Wittgenstein mathe mathematical conjecture mathematical knowledge mathematical proof mathematical propositions mathematical truth mathematicians matical propositions meaning method natural numbers Nature of Mathematics necessity number system objection op.cit Oxford Philosophical Remarks philosophy of mathematics platonist possible precisely priori prose question real number recognise reprinted in Shanker result rule-following Satzsystem sceptical Schlick sense simply Skolem's surveyable tautologies theme theorem thesis Tractatus transfinite numbers unintelligible Vienna Circle Waismann Wittgenstein's approach Wittgenstein's argument Wittgenstein's remarks