Автор: F. William Lawvere Название: Conceptual Mathematics ISBN: 052171916X ISBN-13(EAN): 9780521719162 Издательство: Cambridge Academ Рейтинг: Цена: 7762.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Conceptual Mathematics introduces the concept of category to beginning students and practising mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors.
This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
Автор: Soames Scott Название: Rethinking Language, Mind, and Meaning ISBN: 0691160457 ISBN-13(EAN): 9780691160450 Издательство: Wiley Рейтинг: Цена: 5544.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In this book, Scott Soames argues that the revolution in the study of language and mind that has taken place since the late nineteenth century must be rethought. The central insight in the reigning tradition is that propositions are representational. To know the meaning of a sentence or the content of a belief requires knowing which things it represents as being which ways, and therefore knowing what the world must be like if it is to conform to how the sentence or belief represents it. These are truth conditions of the sentence or belief. But meanings and representational contents are not truth conditions, and there is more to propositions than representational content. In addition to imposing conditions the world must satisfy if it is to be true, a proposition may also impose conditions on minds that entertain it. The study of mind and language cannot advance further without a conception of propositions that allows them to have contents of both of these sorts. Soames provides it.
He does so by arguing that propositions are repeatable, purely representational cognitive acts or operations that represent the world as being a certain way, while requiring minds that perform them to satisfy certain cognitive conditions. Because they have these two types of content one facing the world and one facing the mind pairs of propositions can be representationally identical but cognitively distinct. Using this breakthrough, Soames offers new solutions to several of the most perplexing problems in the philosophy of language and mind."
Автор: Pincock Christopher Название: Mathematics and Scientific Representation ISBN: 0190201398 ISBN-13(EAN): 9780190201395 Издательство: Oxford Academ Рейтинг: Цена: 4830.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. Pincock tackles this perennial question by asking how mathematics contributes to the success of our best scientific representations.
Описание: This book introduces ten problem-solving strategies by first presenting the strategy and then applying it to problems in elementary mathematics.
Автор: Tahiri, Hassan Название: Mathematics and the mind ISBN: 3319252364 ISBN-13(EAN): 9783319252360 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Chapter 1 The Reinvention of Knowledge.- Chapter 2 Ibn Sīnā and the Reinvention of Epistemology.- Chapter 3 Refutation of the Greek Conception of Number.- Chapter 4 Ibn Sīnā's Basic Theory of Knowledge: Existence, Intentionality, Memory.- Chapter 5 The Logico-Epistemic Construction of Numbers.- Chapter 6 Concluding Remarks.
Автор: Stewart Ian Название: Foundations of Mathematics ISBN: 0198706448 ISBN-13(EAN): 9780198706441 Издательство: Oxford Academ Рейтинг: Цена: 10930.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The transition from school to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. This book bridges the divide.
Автор: Stewart Ian Название: Foundations of Mathematics ISBN: 019870643X ISBN-13(EAN): 9780198706434 Издательство: Oxford Education Рейтинг: Цена: 4750.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The transition from school to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. This book bridges the divide.
Автор: L. Haaparanta Название: Mind, Meaning and Mathematics ISBN: 0792327039 ISBN-13(EAN): 9780792327035 Издательство: Springer Рейтинг: Цена: 24450.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: At the turn of the century, Gottlob Frege and Edmund Husserl both participated in the discussion concerning the foundations of logic and mathematics. It shows that Husserl`s thought is coming to occupy a central role in the philosophy of logic and mathematics, as well as in the philosophy of mind and cognitive science.
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