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Thinking about Logic is an accessible and thought-provoking collection of classic articles in the philosophy of logic. An ideal companion to any formal logic course or textbook, this volume illuminates how logic relates to perennial philosophical issues about knowledge, meaning, rationality, and reality. The editors have selected each essay for its brevity, clarity, and impact and have included insightful introductions and discussion questions. The puzzles raised will help readers acquire a more thorough understanding of fundamental logic concepts and a firmer command of the connections between formal logic and other areas of philosophical study: epistemology, philosophy of language, philosophy of science, and metaphysics.
Studies in Logical Theory by John Dewey: Studies in Logical Theory presents a collection of essays by John Dewey, one of the most influential American philosophers and educators of the 20th century. Dewey explores various aspects of logical theory, providing readers with insights into the nature of thought, inquiry, and knowledge. Key Aspects of the Book “Studies in Logical Theory”: Pragmatic Approach: Dewey's essays reflect his pragmatic philosophy, which emphasizes the practical consequences and applications of ideas. He examines logical theory in relation to everyday experiences, highlighting its relevance to problem-solving, decision-making, and the improvement of human affairs. Experimental Inquiry: Dewey promotes an experimental approach to logical theory, emphasizing the importance of observation, investigation, and empirical evidence. He explores the role of experimentation in refining logical concepts and theories, challenging traditional notions of fixed and static truths. Educational Implications: Dewey's exploration of logical theory extends to its implications for education. He discusses the importance of cultivating critical thinking skills, fostering inquiry-based learning, and creating learning environments that promote active engagement and reflective thought. John Dewey, an influential American philosopher and educator, played a pivotal role in shaping modern educational theories and progressive pedagogy. Born in 1859, Dewey believed in the power of education to foster social progress and democracy. He emphasized the importance of active learning, experiential education, and the integration of knowledge with real-life experiences. Dewey's philosophy, often referred to as pragmatism, advocated for a student-centered approach to education, where learners actively engage with their environment, collaborate with others, and apply their knowledge to solve real-world problems. He believed that education should cultivate critical thinking, creativity, and moral development, preparing individuals to be active participants in democratic societies. Throughout his career, Dewey wrote extensively on educational theory, democracy, ethics, and social philosophy. His influential works, including Democracy and Education and Experience and Education, continue to shape educational practices around the world. Dewey's ideas have had a lasting impact, influencing curriculum design, teacher training, and educational policy. Beyond his contributions to education, Dewey was also a prominent voice in political and social issues. He championed social reform, advocated for women's suffrage, and emphasized the importance of social justice and equality. Dewey's legacy lies in his commitment to humanistic education, his belief in the transformative power of education, and his dedication to creating a more inclusive and democratic society. His ideas continue to inspire educators, philosophers, and policymakers to rethink traditional educational models and embrace a more progressive and student-centered approach.
Professor Koslow advances a new account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics.
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.
This classic undergraduate treatment examines the deductive method in its first part and explores applications of logic and methodology in constructing mathematical theories in its second part. Exercises appear throughout.
Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: • simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms • a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book) • engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers • a suitability for self-study and for preparation for standardized tests, like the LSAT • a reasonable price (a third of the cost of many competitors) • exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: • arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty • provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic • expands the section on informal fallacies • includes a more exhaustive index and a new appendix on suggested further readings • updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.
This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics of proof theory have been included in a self-contained expository of articles, covered in great detail and depth.The chapters are arranged so that the two introductory articles come first; these are then followed by articles from core classical areas of proof theory; the handbook concludes with articles that deal with topics closely related to computer science.
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.