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This book includes some of the most original and influential contributions to logic and the philosophy of logic during the past twenty years. It contains thirty-five essays, many of which started new trends in logic. For example, some of the essays in Part One gave birth to what is now known as free logic, and some of the essays in Part Two were among the earliest contributions to what is now known as truth-value semantics. The essays in Part Three are contributions to and improvements of already extant logics, such as intuitionistic logic, natural deduction, and the logic of sequents. Introductions to the parts of the book cover the history of the contributions and their importance. The essays have been thoroughly revised since their publication in learned journals.
This book includes some of the most original and influential contributions to logic and the philosophy of logic during the past twenty years. It contains thirty-five essays, many of which started new trends in logic. For example, some of the essays in Part One gave birth to what is now known as free logic, and some of the essays in Part Two were among the earliest contributions to what is now known as truth-value semantics. The essays in Part Three are contributions to and improvements of already extant logics, such as intuitionistic logic, natural deduction, and the logic of sequents. Introductions to the parts of the book cover the history of the contributions and their importance. The essays have been thoroughly revised since their publication in learned journals.
Does God exist? This is probably the most debated question in the history of mankind. Scholars, scientists, and philosophers have spent their lifetimes trying to prove or disprove the existence of God, only to have their theories crucified by other scholars, scientists, and philosophers. Where the debate breaks down is in the ambiguities and colloquialisms of language. But, by using a universal, unambiguous language—namely, mathematics—can this question finally be answered definitively? That’s what Dr. Stephen Unwin attempts to do in this riveting, accessible, and witty book, The Probability of God. At its core, this groundbreaking book reveals how a math equation developed more than 200 years ago by noted European philosopher Thomas Bayes can be used to calculate the probability that God exists. The equation itself is much more complicated than a simple coin toss (heads, He’s up there running the show; tails, He’s not). Yet Dr. Unwin writes with a clarity that makes his mathematical proof easy for even the nonmathematician to understand and a verve that makes his book a delight to read. Leading you carefully through each step in his argument, he demonstrates in the end that God does indeed exist. Whether you’re a devout believer and agree with Dr. Unwin’s proof or are unsure about all things divine, you will find this provocative book enlightening and engaging.
This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.
It is tempting to think that, if a person's beliefs are coherent, they are also likely to be true. Indeed, this truth-conduciveness claim is the cornerstone of the popular coherence theory of knowledge and justification. Hitherto much confusion has been caused by the inability of coherence theorists to define their central concept. Nor have they succeeded in specifying in unambiguous terms what the notion of truth-conduciveness involves. This book is the most extensive and detailedstudy of coherence and probable truth to date.Erik Olsson argues that the value of coherence has been generally overestimated; it is severely problematic to maintain that coherence has a role to play in the process whereby beliefs are acquired or justified. He proposes that the opposite of coherence, i.e. incoherence, can still be the driving force in the process whereby beliefs are retracted, so that the role of coherence in our enquiries is negative rather than positive. Another innovative feature of Olsson's book is its unified,interdisciplinary approach to the issues at hand. The arguments are equally valid for coherence among any items of information, regardless of their sources (beliefs, memories, testimonies, and so on). Writing in accessible, non-technical language, Olsson takes the reader through much of the history of thesubject, from early theorists like A. C. Ewing and C. I. Lewis to contemporary figures like Laurence BonJour and C. A. J. Coady. Against Coherence will make stimulating reading for epistemologists and anyone with a serious interest in truth.
F. P. Ramsey was a remarkably creative and subtle philosopher who made significant contributions to logic, philosophy of mathematics, philosophy of language and decision theory.
This collection of philosophical essays looks at various technical problems in the use of probability theory for guidance in practical decisions. This text is intended for those who already have a basic grounding in philosophy, logic and probabilty theory.
Probability theory
This volume presents 38 classic texts in formal epistemology, and strengthens the ties between research into this area of philosophy and its neighbouring intellectual disciplines. The editors provide introductions to five subsections: Bayesian Epistemology, Belief Change, Decision Theory, Interactive Epistemology and Epistemic Logic. 'Formal epistemology' is a term coined in the late 1990s for a new constellation of interests in philosophy, the origins of which are found in earlier works of epistemologists, philosophers of science and logicians. It addresses a growing agenda of problems concerning knowledge, belief, certainty, rationality, deliberation, decision, strategy, action and agent interaction – and it does so using methods from logic, probability, computability, decision and game theory. The volume also includes a thorough index and suggestions for further reading, and thus offers a complete teaching and research package for students as well as research scholars of formal epistemology, philosophy, logic, computer science, theoretical economics and cognitive psychology.
In Probability and Evidence, one of Britain's foremost twentieth-century philosophers addresses central questions in the theory of knowledge and the philosophy of science. This book contains A.J. Ayer's John Dewey Lectures delivered at Columbia University, together with two additional essays, "Has Harrod Answered Hume?" and "The Problem of Conditionals."