An exploration of the scientific limits of knowledge that challenges our deep-seated beliefs about our universe, our rationality, and ourselves.
Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.
Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.
Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Автор: Hans Hahn; B.F. McGuinness Название: Empiricism, Logic and Mathematics ISBN: 9027710651 ISBN-13(EAN): 9789027710659 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north- east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university.
Автор: Hans Hahn; B.F. McGuinness Название: Empiricism, Logic and Mathematics ISBN: 902771066X ISBN-13(EAN): 9789027710666 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north- east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university.
Автор: Rafal Urbaniak Название: Le?niewski`s Systems of Logic and Foundations of Mathematics ISBN: 3319344161 ISBN-13(EAN): 9783319344164 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offering an expansive critical commentary, this meticulous assessment of the ground-breaking work of the philosopher Stanislaw Lesniewski focuses exclusively on primary texts and explores the full range of work by a master logician of the Lvov-Warsaw school.
Автор: Rafal Urbaniak Название: Le?niewski`s Systems of Logic and Foundations of Mathematics ISBN: 3319004816 ISBN-13(EAN): 9783319004815 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offering an expansive critical commentary, this meticulous assessment of the ground-breaking work of the philosopher Stanislaw Lesniewski focuses exclusively on primary texts and explores the full range of work by a master logician of the Lvov-Warsaw school.
Автор: Stephen Pollard Название: Essays on the Foundations of Mathematics by Moritz Pasch ISBN: 9400733143 ISBN-13(EAN): 9789400733145 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Moritz Pasch is justly celebrated as a key figure in the history of axiomatic geometry. Less well known are his contributions to other areas of foundational research. This volume features English translations of 14 papers he published between 1917-1926.
Автор: Tieszen Название: Phenomenology, Logic, and the Philosophy of Mathematics ISBN: 0521119987 ISBN-13(EAN): 9780521119986 Издательство: Cambridge Academ Рейтинг: Цена: 7445.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Автор: Weyl, Hermann Название: Philosophy of mathematics and natural science ISBN: 0691141207 ISBN-13(EAN): 9780691141206 Издательство: Wiley Рейтинг: Цена: 8712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Examines how advances in philosophy were led by scientific discoveries - the more humankind understood about the physical world, the more curious we became. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, this book helps readers understand science through the lens of philosophy.
Автор: Andrea Cantini; Ettore Casari; Pierluigi Minari Название: Logic and Foundations of Mathematics ISBN: 0792356594 ISBN-13(EAN): 9780792356592 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Contains papers which represent a combination of technical results in pure and applied logic. This volume also includes papers devoted to conceptual analysis rooted in research. It is suitable to logical specialists and scholars interested in critical reflections on the foundations of logic, mathematics and computer science.
Автор: Stefania Centrone Название: Logic and Philosophy of Mathematics in the Early Husserl ISBN: 9048132452 ISBN-13(EAN): 9789048132454 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text focuses on the first ten years of Edmund Husserl`s work, from the publication of his Philosophy of Arithmetic to that of Logical Investigations. It aims to locate this work in the fields of logic, philosophy of logic and philosophy of mathematics.
Описание: During the 1950`s, a vigorous new research program in logic was under- taken, and the initial published work -characteristic of most Soviet pub- lications in the logic and methodology of the sciences - was a collection of essays, Logical Investigations (Moscow, 1959).
Описание: During the 1950`s, a vigorous new research program in logic was under- taken, and the initial published work -characteristic of most Soviet pub- lications in the logic and methodology of the sciences - was a collection of essays, Logical Investigations (Moscow, 1959).
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