Автор: Jens Erik Fenstad Название: Structures and Algorithms ISBN: 3030102947 ISBN-13(EAN): 9783030102944 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers “see” and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author’s approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing “mathematics” as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what “mathematics” should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2–6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author’s analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book’s closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.
Автор: Ghose, Partha Название: Einstein, Tagore and the Nature of Reality ISBN: 1138685240 ISBN-13(EAN): 9781138685246 Издательство: Taylor&Francis Рейтинг: Цена: 23734.00 р. Наличие на складе: Нет в наличии.
Автор: Smith, Karl (santa Rosa Junior College) Название: Nature of mathematics ISBN: 1133947255 ISBN-13(EAN): 9781133947257 Издательство: Cengage Learning Рейтинг: Цена: 12987.00 р. Наличие на складе: Нет в наличии.
Автор: Ghose, Partha Название: Einstein, Tagore and the Nature of Reality ISBN: 0367737019 ISBN-13(EAN): 9780367737016 Издательство: Taylor&Francis Рейтинг: Цена: 6583.00 р. Наличие на складе: Нет в наличии.
Автор: Fenstad Название: Structures and Algorithms ISBN: 331972973X ISBN-13(EAN): 9783319729732 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 1.Preface.- 2.Introduction.- 3.Mathematics and the nature of knowledge - an introductory essay.- 4.The miraculous left hand - Leonardo and the nature of knowledge.- 5.Relationships between the social and natural sciences.- 6.Changes in the knowledge system and their implications for the formative stage of scholars.- 7.Remarks on the science and technology of language.- 8.How mathematics is rooted in life.- 9.Tarski, truth and natural languages.- 10.Formal semantics, geometry and mind.- 11.Discours, Interaction and Communication.- 12.On what there is - infinitesimals and the nature of numbers.
Автор: Patras, Frederic Название: Essence of numbers ISBN: 3030566994 ISBN-13(EAN): 9783030566999 Издательство: Springer Рейтинг: Цена: 2794.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: - Introduction. - The Lasting Influence of Pythagorism. - The One and the Multiple. - Mathematics and Reality. - The Third Man Argument. - Numbers and Magnitudes. - Generalized Numbers I. - Generalized Numbers II. - Cantor and Set Theory. - Frege's Logicism. - Set Theory in Frege. - Axioms and Formalisms. - The Brain and Cognitive Processes. - Phenomenology of Numbers. - Universal Phenomena, Algebra, Categories.
Автор: Adams, John Название: The Nature and Development of Mathematics ISBN: 1032476885 ISBN-13(EAN): 9781032476889 Издательство: Taylor&Francis Рейтинг: Цена: 6123.00 р. Наличие на складе: Нет в наличии.
Автор: Adams, John Название: The Nature and Development of Mathematics ISBN: 1138124419 ISBN-13(EAN): 9781138124417 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Нет в наличии.
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