Logic as Universal Science PDF Download

Author: A. Korhonen
Publisher: Springer
ISBN: 1137304855
Category : Philosophy
Languages : en
Pages : 469

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Book Description
Logic as Universal Science offers a detailed reconstruction of the underlying philosophy in The Principles of Mathematics showing how Russell sought to deliver a death blow to the dominant Kantian view that formal logic is a concise and dry science and unable to enlarge our understanding.

Author: A. Korhonen
Publisher: Palgrave Macmillan
ISBN: 9780230577008
Category : Philosophy
Languages : en
Pages : 0

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Book Description
Logic as Universal Science offers a detailed reconstruction of the underlying philosophy in The Principles of Mathematics showing how Russell sought to deliver a death blow to the dominant Kantian view that formal logic is a concise and dry science and unable to enlarge our understanding.

Author: Karl Popper
Publisher: Routledge
ISBN: 1134470029
Category : Philosophy
Languages : en
Pages : 545

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Book Description
Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

Author: Janusz Czelakowski
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 476

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Book Description
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.

Author: Jens Lemanski
Publisher: Springer Nature
ISBN: 3030330907
Category : Mathematics
Languages : en
Pages : 318

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Book Description
The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.

Author: Boris Isaakovich Plotkin
Publisher: Boom Koninklijke Uitgevers
ISBN: 9780792326656
Category : Computers
Languages : en
Pages : 462

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Book Description
Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.

Author: Paolo Rossi
Publisher: University of Chicago Press
ISBN: 0226728269
Category : Philosophy
Languages : en
Pages : 361

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Book Description
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.

Author: Joseph Mazur
Publisher: Penguin
ISBN: 0452287839
Category : Mathematics
Languages : en
Pages : 353

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Book Description
Like Douglas Hofstadter’s Gödel, Escher, Bach, and David Berlinski’s A Tour of the Calculus, Euclid in the Rainforest combines the literary with the mathematical to explore logic—the one indispensable tool in man’s quest to understand the world. Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

Author: Stanley Rosen
Publisher: University of Chicago Press
ISBN: 022606591X
Category : Philosophy
Languages : en
Pages : 518

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Book Description
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.

Author: Richard Routley
Publisher: Springer
ISBN: 3319919741
Category : Philosophy
Languages : en
Pages : 232

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Book Description
Ultralogic as Universal? is a seminal text in non-classcial logic. Richard Routley (Sylvan) presents a hugely ambitious program: to use an 'ultramodal' logic as a universal key, which opens, if rightly operated, all locks. It provides a canon for reasoning in every situation, including illogical, inconsistent and paradoxical ones, realized or not, possible or not. A universal logic, Routley argues, enables us to go where no other logic—especially not classical logic—can. Routley provides an expansive and singular vision of how a universal logic might one day solve major problems in set theory, arithmetic, linguistics, physics, and more. It circulated in typescript in the late 1970s before appearing as the Appendix to Exploring Meinong's Jungle and Beyond. With engaging, forceful prose, unsparing criticism of entrenched institutions, and many tantalizing proof sketches (is the Axiom of Choice a theorem of naive set theory?), Ultralogic? has had a major influence on the development of paraconsistent and relevant logic. This new edition makes this work available for a modern audience, newly typeset and corrected, along with extensive notes, and new commentary essays.