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Medieval Modal Logic & Science uses modal reasoning in a new way to fortify the relationships between science, ethics, and politics. Robert C. Trundle accomplishes this by analyzing the role of modal logic in the work of St. Augustine and St. Thomas Aquinas, then applying these themes to contemporary issues. He incorporates Augustine's ideas involving thought and consciousness, and Aquinas's reasoning to a First Cause. The author also deals with Augustine's ties to Aristotelian modalities of thought regarding science and logic, reassessing the commonly held belief in Augustine's Platonism to not be a mistake as much as a simplistic view of his philosophy. Trundle links contemporary issues in epistemology, morality, theology, and logic, making several useful connections between ancient and medieval studies in modal logic and modern concerns. These applications of modal theory illuminate many puzzles in the works of Heidegger, Wittgenstein, Whitehead, and Kuhn.
A serious introductory treatment geared toward non-logicians, this survey traces the development of mathematical logic from ancient to modern times and discusses the work of Planck, Einstein, Bohr, Pauli, Heisenberg, Dirac, and others. 1972 edition.
Introduces readers to the history of necessity and possibility, two modal concepts which play a key role in philosophy.
Is medieval logic formal? And if yes, in what sense? There are striking affinities between medieval and contemporary theories of language. Authors from the two periods share formal ambitions and maintain complex, and at time uneasy, relations with natural language. However, modern scholars became careful not to overlook the specificities of theories developed more than five hundred years apart, in particular with respect to their 'formal' character. In 1972, Alfonso Maieru noted that the efforts of medieval logicians to identify logical structures in language formal enough to become objects of scientific consideration. He also stressed that the language investigated is a historical one, Latin, so that one can legitimately wonder to which extent ... one is allowed to speak of 'formal logic' in the middle ages. In other words, medieval logic is characterized by a tension between 'formalist ambitions' and constraints proper to natural language. Today, our knowledge of the field has considerably expanded, calling for a new assessment of the question.
In this book, the medieval development of Aristotle's theory of the modal syllogistic is studied for the first time. The book shows how this previously ignored part of medieval logic may give new insights into several areas of medieval philosophy.
This volume explores key aspects of the transmission of learning and the transformation of thought from the late Middle Ages to the early modern period. The topics dealt with include metaphysics as a science, the rise of probabilistic modality, freedom of the human will, as well as the role and validity of logical reasoning in speculative theology. The volume will be of interest to scholars who work on medieval and early modern philosophy, theology, and intellectual history.
Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. Coverage includes inventions, discoveries, concepts, places and fields of study, regions, and significant contributors to various fields of science. There are also entries on South-Central and East Asian science. This reference work provides an examination of medieval scientific tradition as well as an appreciation for the relationship between medieval science and the traditions it supplanted and those that replaced it. For a full list of entries, contributors, and more, visit the Routledge Encyclopedias of the Middle Ages website.
This book reveals a remarkable oddity about the mainstream philosophy of science. While rejecting a noxious relativism, it is unable to ascribe "truth" to scientific theories that also are divorced conceptually from ethics and politics. There is much at stake since these dilemmas have led to a politicized truth whereby "truth" in these areas is often decided ideologically. But the ideology and splintered areas collide head-on with our awareness of ourselves and the world. By relating a world of which we are phenomenologically conscious to a common-sense reasoning, a novel case is made for objective scientific truth, a true causal principle, and the principle's implication of a First Cause. This Cause, as a Creator of Nature, begets moral norms intrinsic to scientific descriptions of our psycho-biological nature since our nature was created as it ought to be; affording a naturalistic ethics that can be as true as the science that informs it. Medicine and its allied sciences are used to illustrate this moral import in terms of a revitalized support of the traditional family -- a perennial norm expressed by the dictum "As the family goes, so goes the state." Thus a state's support of the family exemplifies how normative political claims can be as true as a scientific ethics that informs them. The logical link of ethics to science and politics marks the reasoning implicit in a natural theology common to the major monotheistic religions. And so despite the faults of all organizations, this book suggests one reason why those religions flourished over the ages. Outlasting the Roman Empire and modern ideologies that boasted vainly of reigning to the end of history, the religions address a personal spirituality and fulfill human nature. They render coherent an experienced world where truth coincides in science, ethics, politics, and religion. REVIEW "This book is one of those exceptional works which is both challenging in its philosophical sophistication and edifying in its moral argumentation." The Review of Metaphysics, Sept, 2008, by Tom Michaud Read complete review at link below: The Review of Metaphysics, Vol. 62, #245 (Sep), 2008
A history of philosophy from 1100-1600 concentrating on the Aristotelian tradition in the Latin Christian West. "will long remain the major guide to later medieval philosophy and related topics. Most of the essays are exciting and challenging, some of them truly brilliant." --Speculum
Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity—and is today widely regarded as incoherent. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle’s philosophy. Aristotle’s modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics—specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle’s modal propositions, one that verifies the ancient philosopher’s claims of the validity and invalidity of modal inferences. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.