<p>This book, written by one of philosophy's preeminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. Hintikka's new logic is highly original and will prove appealing to logicians, philosophers of mathematics, and mathematicians concerned with the foundations of the discipline.</p>

Principles of Mathematics Revisited

Politics & Social Sciences

HINTIKKA

Philosophy

Cambridge University Press

Investigating Wittgenstein

<p>A revolutioinary interpretation of the work of Ludwig Wittgenstein, this book presents an analysis of his early work in the "Tractatus" and its gradual transformation in the later philosophy of the "Investigations". The authors propose a radical interpretation of the "Tractatus" and argue that the objects of the "Tractatus" are but Russellian objects of acquaintance in disguise. Thus in the "Tractatus" Wittgenstein regarded phenomenological language as logically correct. However, in 1929, according to the authors, he abandoned the phenomenological conception of language in favour of a physicalist one and it is within this new framework that the "Philosophical Investigations" can be most fruitfully understood.</p>

Blackwell*publishers

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Books by HINTIKKA

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Principles of Mathematics Revisited

Investigating Wittgenstein