This monograph shows that, through a recourse to the concepts and methods of abstract algebraic logic, the algebraic theory of regular varieties and the concept of analyticity in formal logic can profitably interact.
This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others.
Thought experiments are a means of imaginative reasoning that lie at the heart of philosophy, from the pre-Socratics to the modern era, and they also play central roles in a range of fields, from physics to politics.
The late Mario Mignucci was one of the most authoritative, original, and influential scholars in the area of ancient philosophy, especially ancient logic.
This book provides an English translation of the work Principles of the Probability Calculus published in 1886 by Johannes von Kries, which discusses the range theory of probability.
This is the first book-length presentation and defense of a new theory of human and machine cognition, according to which human persons are superminds.
While probabilistic logics in principle might be applied to solve a range of problems, in practice they are rarely applied - perhaps because they seem disparate, complicated, and computationally intractable.
The aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s.
The current difficulty with using argument diagramming as a teaching tool in courses designed to help students think more critically and criticize arguments more effectively is that the students are not able to carry out these tasks in a confident and definitive way, so that they are sure they have the right answer.
Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.
Action theory is the object of growing attention in a variety of scientific disciplines and this is the first volume to offer a synthetic view of the range of approaches possible in the topic.
This influential book discusses the nature of mathematical discovery, development, methodology and practice, forming Imre Lakatos''s theory of ''proofs and refutations''.
Originally published in 1982, this volume examines the sources of British Hegelian thinking, the lines of its development and intellectual relationships among members of the school.
This book constitutes the proceedings of the 16th International Conference on Tests and Proofs, TAP 2022, which was held as part of Software Technologies: Applications and Foundations, STAF 2022, and took place in Nantes, France in July 2022.
When many people are involved in an activity, it is often difficult, if not impossible, to pinpoint who is morally responsible for what, a phenomenon known as the 'problem of many hands.
This book provides philosophers and logicians with a broad spectrum of views on contemporary research on the problem of deduction, its justification and explanation.
Perfect for students with no background in logic or philosophy, Simple Formal Logic provides a full system of logic adequate to handle everyday and philosophical reasoning.
First published in 1990, this is a reissue of Professor Hilary Putnam's dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction.
This Handbook offers students and more advanced readers a valuable resource for understanding linguistic reference; the relation between an expression (word, phrase, sentence) and what that expression is about.
This brief introduction to making effective arguments helps readers to understand the basics of sound reasoning and to learn how to use it to persuade others.
