The mind-dependence of mathematical objects, Brouwer argued, requires that some classical assumptions concerning logic must be set aside when reasoning about mathematics. Brouwer’s philosophy of mathematics, in which mathematical objects-integers, sets, vectors-are treated as constructions carried out in the minds of mathematicians, rather than as Platonic objects with independent existence. The school of intuitionistic logic really springs from L. Nelson introduced this notion in the 1940s as a criticism of how proponents of intuitionistic logic view the distinction between truth and falsity. I believe that the notion of constructible falsity-first described by the mathematician and logician David Nelson-is one of the most intriguing notions in philosophical logic. Author Q&A In your opinion, which is the most fascinating entry in your Dictionary and why? He is the co-author of A Dictionary of Logic alongside Graham Priest. His work has appeared in Notre Dame Journal of Formal Logic, Studia Logica, Journal of Philosophical Logic, Journal of Logic and Computation, and Logica Universalis. His primary interest is philosophical logic, with focuses on many-valued model theory, paraconsistent logic, and the logical work of William Parry. Thomas Macaulay Ferguson is a doctoral candidate in philosophy at the CUNY Graduate Center. Logical symbols from The Oxford Dictionary of Philosophy ‘ Kantianism’ and ‘ Russell's paradox’ from The Oxford Companion to Philosophy ‘ David Hume’ from the Encyclopedia of Aesthetics Quotations about philosophy and logic and reason from Oxford Essential Quotations See all the Philosophy books available on Oxford Reference > Sample resourcesĭiscover philosophy on Oxford Reference with the below sample content:Ī timeline of philosophy: from Confucius, teaching a practical philosophy, to Karl Popper publishing The Open Society and its Enemies Sample resources | Featured author | Featured blogs | More from OUP | How to subscribe Written by trusted experts for researchers at every level, entries are complemented by illustrative line drawings wherever useful. Our coverage comprises authoritative, highly accessible information that covers the very latest terminology, concepts, theories, techniques, people, and organizations relating to philosophy-particularly major areas of thought such as epistemology, logic, ethics, aesthetics, and metaphysics, amongst many others subjects. Oxford Reference provides over 17,000 concise definitions and in-depth, specialist encyclopedic entries on all aspects of philosophy. Philosophy encompasses the study of many fundamental aspects of our lives and the world that surrounds us, including the nature of reality, of knowledge, of morality, and of the relationship between the mind and the body.
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