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This volume deals with the relation between faith and reason, and brings the latest developments of modern logic into the scene. Faith and rationality are two perennial key concepts in the history of ideas. Philosophers and theologians have struggled to bring into harmony these otherwise conflicting concepts. Despite the diversity of approaches about what rationality effectively means, logic remains the cannon of objective and rational thought. The chapters in this volume analyze several issues pertaining to the philosophy of religion and philosophical theology from the perspective of their relation to logic and the benefit they can derive from the use of modern logic tools. The book is divided into five parts: (I) Introduction, (II) Analytic Philosophy of Religion, (III) Logical Philosophy of Religion, (IV) Computational Philosophy and Religion and (V) Logic, Language and Religion. This text appeals to students and researchers in the field.
This book explores a number of concepts of God in Vaiṣṇavism, which is commonly referred to as one of the great Hindu monotheistic traditions. By addressing the question of what attributes God possesses according to particular Vaiṣṇava textual sources and traditions, the book locates these concepts within a global philosophical framework. The book is divided into two parts. The first part, God in Vaiṣṇava Texts, deals with concepts of God found in some of the more prominent canonical Vaiṣṇava texts: the Bhagavad-Gītā, the Bhagavata-Purāṇa, the Jayākhya-Saṃhitā as representative of the Pāñcarātras, and the Mahābhārata. The second part, God in Vaiṣṇava Traditi...
This volume is the first attempt to investigate explicitly how the multiplicity of religions and forms of spirituality interconnect with the pluralism of languages, including scientific codes, formal languages, and artistic expressions. In a journey “beyond Babel”, the volume explores how religious and linguistic pluralisms enter into polyphonic relations, how they co-evolve and grow together, and why they clash. This text provides the setting for a dialogue on a rich variety of religious languages and traditions, including Hinduism, Judaism, Islam, Jainism, and Christianity. The chapters explore how these traditions can venture into new interreligious paths, how sacred meanings translat...
This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical...
Nyāya Sūtra offers a new English translation of the text ascribed to Akṣapāda, an Indian philosopher who lived around the beginning of the Common Era. The translation is accompanied by the original Sanskrit text and an original commentary. The commentary explains every sūtra separately and identifies the sources of the Nyāya Sūtra. It analyses the way older ideas on epistemology, logic, and soteriology were presented as a new coherent system of thought. The book puts forward the main goal of the Nyāya Sūtra: to define what it considered the basic tenets of a soteriology and how the goal of this soteriology could be reached by rationally applying epistemological and logical methods ...
In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to Göttingen as his main collaborator in foundational studies in the years to come. The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations. Chapter 8 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Although it is common to see Kant's philosophy as at its core a reaction to (and partial rejection of) the dogmatism and rationalism of Leibniz, Wolff, and their followers, it is surprising how little detailed and critical study there has been of the relation between Leibniz and Kant. How did Kant understand Leibniz's philosophy? Did he correctly understand Leibniz's philosophy? Since only a portion of Leibniz's philosophical writings were published prior to Kant's critical period, is there a "true Leibniz" that Kant did not know? Are all of Kant's criticisms of Leibniz in particular and Leibnizian rationalism in general justified? Or does Leibniz have an answer to Kant's philosophy? Moreove...
Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.