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For nearly four centuries, when logic was the heart of what we now call the 'undergraduate curriculum', Peter of Spain's Summaries of Logic (c. 1230) was the basis for teaching that subject. Because Peter's students were teenagers, he wrote simply and organized his book carefully. Since no book about logic was read by more people until the twentieth century, the Summaries has extensively and profoundly influenced the distinctly Western way of speaking formally and writing formal prose by constructing well-formed sentences, making valid arguments, and refuting and defending arguments in debate. Some books, like the Authorized Version of the English Bible and the collected plays of Shakespeare, have been more influential in the Anglophone world than Peter's Summaries-but not many. This new English translation, based on an update of the Latin text of Lambertus De Rijk, comes with an extensive introduction that deals with authorship, dating, and the place of the Summaries in the development of logic, before providing a chapter-by-chapter analysis of Peter's book, followed by an analysis of his system from the point of view of modern logic. The Latin text is presented on facing pages with the English translation, accompanied by notes, and the book includes a full bibliography.
Terence Parsons presents a new study of the development and logical complexity of medieval logic. Basic principles of logic were used by Aristotle to prove conversion principles and reduce syllogisms. Medieval logicians expanded Aristotle's notation in several ways, such as quantifying predicate terms, as in 'No donkey is every animal', and allowing singular terms to appear in predicate position, as in 'Not every donkey is Brownie'; with the enlarged notation come additional logical principles. The resulting system of logic is able to deal with relational expressions, as in De Morgan's puzzles about heads of horses. A crucial issue is a mechanism for dealing with anaphoric pronouns, as in 'Every woman loves her mother'. Parsons illuminates the ways in which medieval logic is as rich as contemporary first-order symbolic logic, though its full potential was not envisaged at the time. Along the way, he provides a detailed exposition and examination of the theory of modes of common personal supposition, and the useful principles of logic included with it. An appendix discusses the artificial signs introduced in the fifteenth century to alter quantifier scope.
Terence Parsons presents a lively and original study of philosophical questions about identity, such as: Is a person identical with that person's body? Puzzles of this kind have not been solved; Parsons argues, controversially, that this is because there is genuine indeterminacy of identity in the world, rather than in the language used to formulate the questions.
An introductory text in linguistic semantics, uniquely balancing empirical coverage and formalism with development of intuition and methodology. This introductory textbook in linguistic semantics for undergraduates features a unique balance between empirical coverage and formalism on the one hand and development of intuition and methodology on the other. It will equip students to form intuitions about a set of data, explain how well an analysis of the data accords with their intuitions, and extend the analysis or seek an alternative. No prior knowledge of linguistics is required. After mastering the material, students will be able to tackle some of the most difficult questions in the field even if they have never taken a linguistics course before. After introducing such concepts as truth conditions and compositionality, the book presents a basic symbolic logic with negation, conjunction, and generalized quantifiers, to serve as the basis for translation throughout the book. It then develops a detailed compositional semantics, covering quantification (scope and binding), adverbial modification, relative clauses, event semantics, tense and aspect, as well as pragmatic phenomena, notably deictic pronouns and narrative progression. A Course in Semantics offers a large and diverse set of exercises, interspersed throughout the text; those labeled "Important practice and looking ahead" prepare students for material to come; those labeled "Thinking about " invite students to think beyond the content of the book.
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