This introduction to logic, which aims to reflect recent advances in the field, focuses on natural language, analyzing the structure of arguments conducted in English. The text includes problems with which students can test their skills.
How both logical and emotional reasoning can help us live better in our post-truth world In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to readers drowning in the illogic of contemporary life. Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic -- for example, emotion -- is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.
Although Hegel considered Science of Logic essential to his philosophy, it has received scant commentary compared with the other three books he published in his lifetime. Here philosopher Stanley Rosen rescues the Science of Logic from obscurity, arguing that its neglect is responsible for contemporary philosophy’s fracture into many different and opposed schools of thought. Through deep and careful analysis, Rosen sheds new light on the precise problems that animate Hegel’s overlooked book and their tremendous significance to philosophical conceptions of logic and reason. Rosen’s overarching question is how, if at all, rationalism can overcome the split between monism and dualism. Monism—which claims a singular essence for all things—ultimately leads to nihilism, while dualism, which claims multiple, irreducible essences, leads to what Rosen calls “the endless chatter of the history of philosophy.” The Science of Logic, he argues, is the fundamental text to offer a new conception of rationalism that might overcome this philosophical split. Leading readers through Hegel’s book from beginning to end, Rosen’s argument culminates in a masterful chapter on the Idea in Hegel. By fully appreciating the Science of Logic and situating it properly within Hegel’s oeuvre, Rosen in turn provides new tools for wrangling with the conceptual puzzles that have brought so many other philosophers to disaster.
Early in the 1240s the University of Paris hired a recent graduate from Oxford, Roger Bacon by name, to teach the arts and introduce Aristotle to its curriculum. Along with eight sets of questions on Aristotle's natural works and the Metaphysics he claims to have authored another eight books before he returned to Oxford around 1247. Within the prodigious output of this period we find a treatise on logic titled Summulae dialectices, and it is this that is here annotated and presented in translation. The book is unique in several respects. First, there is the breadth of its sources. Not only do we find explicit reference to the usual authors such as Aristotle, Plato, Boethius, Porphyry, Cicero, and Priscian, we also find unexpected reference to Augustine, Bernardus Silvestris, Donatus, Terence, and Themistius, along with mention of the Muslim philosophers Algazel and Ibn Rushd. Second, it is clear that Bacon is drawing on or reacting to an extraordinarily wide variety of medieval sources: Garland the Computist, Hugh of St. Victor, Master Hugo, Hugutius of Pisa, Isidore of Seville, Nicholas of Damas, Nicholas of Paris, Richard of Cornwall, Robert Kilwardby, Robert of Lincoln, and Robert the Englishman. Third, it unexpectedly presents a full-blown treatment of Aristotle's theory of demonstration. And finally, Bacon reveals a highly unorthodox view of the signification of common terms. Bacon, here, takes his students and us deeper into medieval sources and controversy than any of his rivals do.
Hegel is regarded as the pinnacle of German idealism and his work has undergone an enormous revival since 1975. In this book, David Gray Carlson presents a systematic interpretation of Hegel's 'The Science of Logic', a work largely overlooked, through a system of accessible diagrams, identifying and explicating each of Hegel's logical derivations.
This translation of The Science of Logic (also known as 'Greater Logic') includes the revised Book I (1832), Book II (1813) and Book III (1816). Recent research has given us a detailed picture of the process that led Hegel to his final conception of the System and of the place of the Logic within it. We now understand how and why Hegel distanced himself from Schelling, how radical this break with his early mentor was, and to what extent it entailed a return (but with a difference) to Fichte and Kant. In the introduction to the volume, George Di Giovanni presents in synoptic form the results of recent scholarship on the subject, and, while recognizing the fault lines in Hegel's System that allow opposite interpretations, argues that the Logic marks the end of classical metaphysics. The translation is accompanied by a full apparatus of historical and explanatory notes.
Hegel frequently claimed that the heart of his entire system was a book widely regarded as among the most difficult in the history of philosophy, The Science of Logic. This is the book that presents his metaphysics, an enterprise that he insists can only be properly understood as a “logic,” or a “science of pure thinking.” Since he also wrote that the proper object of any such logic is pure thinking itself, it has always been unclear in just what sense such a science could be a “metaphysics.” Robert B. Pippin offers here a bold, original interpretation of Hegel’s claim that only now, after Kant’s critical breakthrough in philosophy, can we understand how logic can be a metaphysics. Pippin addresses Hegel’s deep, constant reliance on Aristotle’s conception of metaphysics, the difference between Hegel’s project and modern rationalist metaphysics, and the links between the “logic as metaphysics” claim and modern developments in the philosophy of logic. Pippin goes on to explore many other facets of Hegel’s thought, including the significance for a philosophical logic of the self-conscious character of thought, the dynamism of reason in Kant and Hegel, life as a logical category, and what Hegel might mean by the unity of the idea of the true and the idea of the good in the “Absolute Idea.” The culmination of Pippin’s work on Hegel and German idealism, this is a book that no Hegel scholar or historian of philosophy will want to miss.
The mnemonic arts and the idea of a universal language that would capture the essence of all things were originally associated with cryptology, mysticism, and other occult practices. And it is commonly held that these enigmatic efforts were abandoned with the development of formal logic in the seventeenth century and the beginning of the modern era. In his distinguished book, Logic and the Art of Memory Italian philosopher and historian Paolo Rossi argues that this view is belied by an examination of the history of the idea of a universal language. Based on comprehensive analyses of original texts, Rossi traces the development of this idea from late medieval thinkers such as Ramon Lull through Bruno, Bacon, Descartes, and finally Leibniz in the seventeenth century. The search for a symbolic mode of communication that would be intelligible to everyone was not a mere vestige of magical thinking and occult sciences, but a fundamental component of Renaissance and Enlightenment thought. Seen from this perspective, modern science and combinatorial logic represent not a break from the past but rather its full maturity. Available for the first time in English, this book (originally titled Clavis Universalis) remains one of the most important contributions to the history of ideas ever written. In addition to his eagerly anticipated translation, Steven Clucas offers a substantial introduction that places this book in the context of other recent works on this fascinating subject. A rich history and valuable sourcebook, Logic and the Art of Memory documents an essential chapter in the development of human reason.
This book offers new critical perspectives on the relationship between the notions of speculation, logic and reality in Hegel's thought as basis for his philosophical account of nature, history, spirit and human experience. The systematic functions of logic and pure thought are explored in their concrete forms and processual progression from subjective spirit to philosophy of right, society, the notion of habit, the idea of work, art, religion and science. Engaging the relation between the Logic and its realisations, this book shows the internal tension that inhabits Hegel's philosophy at the intersection of logical (conceptual) speculation and concrete (interpretative) analysis. The investigation of this tension allows for a hermeneutical approach that demystifies the common view of Hegel's idealism as a form of abstract thought, while allowing for a new assessment of the importance of speculation for a concrete understanding of the world.
This text provides a truly comprehensive guide to one of the most important and challenging works of modern philosophy. The systematic complexity of Hegel's radical project in the Science of Logic prevents many from understanding and appreciating its value. By independently and critically working through Hegel's argument, this book offers an enlightening aid for study and anchors the Science of Logic at a central position in the philosophical canon.