Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as:· mathematical preliminaries· propositional logic· quantified logic (first monadic, then polyadic)· English and standard ‘symbolic translations’· tableau procedures.Alongside comprehensive coverage of the standard topics, this thoroughly re...

Among the various conceptions of truth is one according to which 'is true' is a transparent, entirely see-through device introduced for only practical (expressive) reasons. This device, when introduced into the language, brings about truth-theoretic paradoxes (particularly, the notorious Liar and Curry paradoxes). The options for dealing with the paradoxes while preserving the full transparency of 'true' are limited. In Spandrels of Truth, Beall concisely presents and defends a mo...

Truth: The Basics is a concise and engaging introduction to philosophical theories about the nature of truth. The two authors – leading philosophers in this field – build the book around a single question: what, if anything, is common to all truths, which makes them true? The book explores five important answers (‘theories’) to the given question: correspondence, semantic, verifiability, transparency, and plurality. For each given theory, the following questions are addressed:...

Apparent contradiction is common in traditional monotheism, and perhaps especially so in standard Christian theology given central doctrines such as the incarnation and trinity. This Element aims to chart out a very elementary but abstract framework through which such contradictions may be approached. This Element does not attempt to address the many options for thinking about contradictions in the face of logical entailment; it charts only a few salient abstract options.

In this ground-breaking study, Jc Beall shows that the fundamental "problem" of Christology is simple to see from the role that Christ occupies: the Christ figure is to have the divine and essentially limitless properties of the one and only God but Christ is equally to have the human, essentially limit-imposing properties involved in human nature, limits essentially involved in being human. The role that Christ occupies thereby appears to demand a contradiction: all of the limitlessness o...

Building on his paradigm-shifting work on the incarnation in The Contradictory Christ (OUP, 2021), Jc Beall extends a robust contradictory theology with an account of the trinity. Throughout the history of the Christian church, heretics, apophatics, mystics, atheists, and many others have long proclaimed that the doctrine of the trinity - one of the central doctrines of the Christian faith - is contradictory. In this work, Beall agrees; however, as Beall convincingly argues, one n...

Renowned for his metaphysics, Spinoza made significant contributions to understanding the human mind, the emotions, moral philosophy, and political philosophy.Beginning with an overview of Spinoza's life, Michael Della Rocca carefully unpacks and explains Spinoza's philosophy: his metaphysics of substance and argument at the center of his whole system that God is the sole independent substance; his account of the human mind and its relation to the body; his theory that human beings ...

Paradoxes are arguments that lead from apparently true premises, via apparently uncontroversial reasoning, to a false or even contradictory conclusion. Paradoxes threaten our basic understanding of central concepts such as space, time, motion, infinity, truth, knowledge, and belief.In this volume Roy T Cook provides a sophisticated, yet accessible and entertaining, introduction to the study of paradoxes, one that includes a detailed examination of a wide variety of paradoxes. The b...

God Over All: Divine Aseity and the Challenge of Platonism is a defense of God's aseity and unique status as the Creator of all things apart from Himself in the face of the challenge posed by mathematical Platonism. After providing the biblical, theological, and philosophical basis for the traditional doctrine of divine aseity, William Lane Craig explains the challenge presented to that doctrine by the Indispensability Argument for Platonism, which postulates the existence of uncr...

'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' – The GuardianIn 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The impo...

In a culture in which science is believed to hold the answers to every question, spiritual realities like the soul are often ignored or ridiculed. We are told that neuroscience holds the key to explaining every aspect of human behavior. Yet Christian philosopher J. P. Moreland argues that Scripture, sound philosophical reasoning, and everyday experience all point to the reality of an immaterial soul. Countering the arguments of both naturalists and Christian scholars who embrace a material...

Exam board: OCRLevel: A-levelSubject: Religious StudiesFirst teaching: September 2016First exams: Summer 2017Target success in OCR A Level Religious Studies with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide you can rely on to review, s...