Church's Thesis After 70 Years

1. Auflage 2006
ISBN: 978-3-11-032494-5
Verlag: De Gruyter

Buch, Englisch, Deutsch, Band 1, 551 Seiten, HC runder Rücken kaschiert, Format (B × H): 153 mm x 216 mm, Gewicht: 818 g

Reihe: ISSN

Church's Thesis (CT) was first published by Alonzo Church in 1935. CT is a proposition that identifies two notions: an intuitive notion of a effectively computable function defined in natural numbers with the notion of a recursive function. Despite of the many efforts of prominent scientists, Church's Thesis has never been falsified. There exists a vast literature concerning the thesis. The aim of the book is to provide 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.

Autoren/Hrsg.

Olszewski, Adam

Janusz, Robert

Wolenski, Jan

Fachgebiete

• Geisteswissenschaften Philosophie Philosophische Logik, Argumentationstheorie
• Geisteswissenschaften Philosophie Geschichte der Westlichen Philosophie Westliche Philosophie: 20./21. Jahrhundert
• Mathematik | Informatik Mathematik Mathematik Allgemein Philosophie der Mathematik
• Geisteswissenschaften Philosophie Philosophie der Mathematik, Philosophie der Physik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik