Philosophical and mathematical logic

Part 1 of ebook "Philosophical and mathematical logic" provides readers with contents including: chapter 1 - logic, a first impression; chapter 2 - propositional logic; chapter 3 - sets, finite and infinite; chapter 4 - predicate logic;...

279p hanlinhchi 29-08-2023 4 2   Download

Continued part 1, part 2 of ebook "Philosophical and mathematical logic" provides readers with contents including: chapter 5 - arithmetic Gödel's incompleteness theorems; chapter 6 - modal logic; chapter 7 - philosophy of language; chapter 8 - intuitionism and intuitionistic logic; chapter 9 - applications prolog; relational databases and SQL; social choice theory; chapter 10 - fallacies and unfair discussion methods;...

279p hanlinhchi 29-08-2023 3 3   Download

Rudolf Carnap is a great philosopher of modern Western philosophy of the twentieth century. His thoughts relate to the topics of logics and linguistics in which the conception of semantics occupies an important position. He built a fairly complete semantic system in his classic work, Introduction to Semantics. The study of the logical thoughts of semantics of R. Carnap not only has important theoretical significance for philosophy and logics, but also suggests problems of linguistics and mathematics.

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The following essays have been written and published at various times, and my thanks are due to the previous publishers for the permission to reprint them. The essay on "Mysticism and Logic" appeared in the Hibbert Journal for July, 1914. "The Place of Science in a Liberal Education" appeared in two numbers of The New Statesman, May 24 and 31, 1913. "The Free Man's Worship" and "The Study of Mathematics" were included in a former collection (now out of print), Philosophical Essays, also published by Messrs. Longmans, Green & Co.

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About Russell: Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS (18 May 1872 – 2 February 1970), was a British philosopher, logician, mathematician, historian, religious sceptic, social reformer, socialist and pacifist. Although he spent the majority of his life in England, he was born in Wales, where he also died. Russell led the British "revolt against idealism" in the early 1900s and is considered one of the founders of analytic philosophy along with his protégé Wittgenstein and his elder Frege. He co-authored, with A. N.

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The aim of this book of essays is to advance contemporary work in creating stronger links between the history and philosophy of mathematics. It has become clear through several conferences and publications that the present situation at the beginning of the twenty-first century is congenial to this kind of historico-philosophical enterprise. The editors have brought together an important international group of scholars whose contributions focus on the history and philosophy of modern mathematics, roughly from 1800 to 1970....

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An early definition of mathematics in terms of logic was Benjamin Peirce's "the science that draws necessary conclusions" (1870).[24] In the Principia Mathematica, Bertrand Russell and Alfred North Whitehead advanced the philosophical program known as logicism, and attempted to prove that all mathematical concepts, statements, and principles can be defined and proven entirely in terms of symbolic logic. A logicist definition of mathematics is Russell's "All Mathematics is Symbolic Logic" (1903)

101p ngoctu2393 28-11-2012 99 6   Download

This valuable reference introduces undergraduate and post-graduate students to the main problems and positions of philosophical logic. Elements include crucial figures, positions, terminology, and debates within philosophical logic as well as issues that pertain to related, overlapping disciplines, such as set theory and the philosophy of mathematics. Entries are extensively cross-referenced for identification within the context of wider debates.

329p fangfangfang 11-05-2012 106 28   Download