Church's Thesis After 70 Years: 1 (Ontos Mathematical Logic) - Hardcover

Hardcover

ISBN 10: 3938793090 ISBN 13: 9783938793091

Publisher: ontos verlag, 2006

Synopsis

Church's Thesis (CT) was first published by Alonzo Church in 1935. CT is a proposition that identifies two notions: an intuitive notion of an effectively computable function defined in natural numbers with the notion of a recursive function. Despite the many efforts of prominent scientists, Church's Thesis has never been disproven. There exists a vast literature concerning the thesis. The aim of this book is to provide a one volume summary of the state of research on Church's Thesis. These include the following: different formulations of CT, CT and intuitionism, CT and intensional mathematics, CT and physics, the epistemic status of CT, CT and philosophy of mind, provability of CT and CT and functional programming.

Adam Olszewski, is assistant professor of the philosophy of mathematics and mathematical logic at the Department of Philosophy of Pontifical Academy of Theology, Cracow (Poland). Jan Wolenski is professor of philosophy, Institute of Philosphy, Jagiellonian University, Cracow (Poland). He is one of the most distinguished logicians in Poland. Robert Janusz is assistant professor in the Department of Philosophy of Ignatius College, Cracow (Poland).

About this edition

• Publisher: ontos verlag
• Publication date: 2006
• ISBN 10: 3938793090
• ISBN 13: 9783938793091
• Binding: Hardcover
• Number of pages: 551
• Editor: Olszewski Adam, Wolenski Jan, Janusz Robert