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.

A collection of essays dealing with issues connected with Church's Thesis from both the philosophical and logical perspectives. The Reader will learn about the problems present in the theory of computability, with a particular emphasis being placed on the role of Church's Thesis and the various attempts at its proving it. The contributions also concern the intuitive notion of computable functions, the general issue of proving theses, hypercomputation, pseudorecursiveness and the computational modeling of cognition. Moreover, some of them utilize formal means such as the first order theory of hereditarily finite sets or the procedural theory of concepts. Contributors Stewart Shapiro, Charles McCarty, Selmer Bringsjord, Jan Wolenski, Marie Duzi, Pavel Materna, Yuri Gurevich, Krzysztof Wojtowicz, Adam Olszewski, Bartosz Brozek, Naveen Sundar Govindarajulu, Paula Quinon, Paolo Cotogno, Csaba Henk, Stanislaw Krajewski, Marcin Milkowski, Kim Solin, Benjamin Wells.

This collection of essays - written by philosophers, logicians, and theologians - is devoted to the problem of the utilization of logic in theological discourse. Viewed from the perspective of logic, the issues covered include such topics as the logic of miracles, the problem of God's omniscience, the application of non-classical logics to theology, and the relationships between science and theology.