The Logic of the Sciences and the Humanities
Author | : F. S. C. Northrop |
Publisher | : |
Total Pages | : 402 |
Release | : 1953 |
Genre | : |
ISBN | : |
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Author | : F. S. C. Northrop |
Publisher | : |
Total Pages | : 402 |
Release | : 1953 |
Genre | : |
ISBN | : |
Author | : David I. Spivak |
Publisher | : MIT Press |
Total Pages | : 495 |
Release | : 2014-10-17 |
Genre | : Mathematics |
ISBN | : 0262320533 |
An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs—categories in disguise. After explaining the “big three” concepts of category theory—categories, functors, and natural transformations—the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.
Author | : David Cahan |
Publisher | : University of Chicago Press |
Total Pages | : 480 |
Release | : 2003-09-15 |
Genre | : History |
ISBN | : 9780226089270 |
During the 19th century, much of the modern scientific enterprise took shape: scientific disciplines were formed, institutions and communities were founded and unprecedented applications to and interactions with other aspects of society and culture occurred. taught us about this exciting time and identify issues that remain unexamined or require reconsideration. They treat scientific disciplines - biology, physics, chemistry, the earth sciences, mathematics and the social sciences - in their specific intellectual and sociocultural contexts as well as the broader topics of science and medicine; science and religion; scientific institutions and communities; and science, technology and industry. From Natural Philosophy to the Sciences should be valuable for historians of science, but also of great interest to scholars of all aspects of 19th-century life and culture.
Author | : Herbert Alexander Simon |
Publisher | : MIT Press (MA) |
Total Pages | : 156 |
Release | : 1969 |
Genre | : Science |
ISBN | : |
The Sciences of the Artificialreveals the design of an intellectual structure aimed at accommodating those empirical phenomena that are "artificial" rather than "natural." The goal is to show how empirical sciences of artificial systems are possible, even in the face of the contingent and teleological character of the phenomena, their attributes of choice and purpose. Developing in some detail two specific examples—human psychology and engineering design—Professor Simon describes the shape of these sciences as they are emerging from developments of the past 25 years. "Artificial" is used here in a very specific sense: to denote systems that have a given form and behavior only because they adapt (or are adapted), in reference to goals or purposes, to their environment. Thus, both man-made artifacts and man himself, in terms of his behavior, are artificial. Simon characterizes an artificial system as an interface between two environments—inner and outer. These environments lie in the province of "natural science," but the interface, linking them, is the realm of "artificial science." When an artificial system adapts successfully, its behavior shows mostly the shape of the outer environment and reveals little of the structure or mechanisms of the inner. The inner environment becomes significant for behavior only when a system reaches the limits of its rationality and adaptability, and contingency degenerates into necessity.
Author | : Phyllis McKay Illari |
Publisher | : Oxford University Press |
Total Pages | : 953 |
Release | : 2011-03-17 |
Genre | : Mathematics |
ISBN | : 0199574138 |
Why do ideas of how mechanisms relate to causality and probability differ so much across the sciences? Can progress in understanding the tools of causal inference in some sciences lead to progress in others? This book tackles these questions and others concerning the use of causality in the sciences.
Author | : Marina Frasca-Spada |
Publisher | : Cambridge University Press |
Total Pages | : 460 |
Release | : 2000-11-02 |
Genre | : History |
ISBN | : 9780521659390 |
This book, published in 2000, examines the intersection between science and books from early medieval times to the nineteenth century.
Author | : Jean-Henri Fabre |
Publisher | : |
Total Pages | : 426 |
Release | : 1917 |
Genre | : Natural history |
ISBN | : |
A book about metals, plants, animals, and planets.
Author | : Geoffrey C. Bowker |
Publisher | : MIT Press |
Total Pages | : 275 |
Release | : 2008-02-15 |
Genre | : Science |
ISBN | : 0262524899 |
How the way we hold knowledge about the past—in books, in file folders, in databases—affects the kind of stories we tell about the past. The way we record knowledge, and the web of technical, formal, and social practices that surrounds it, inevitably affects the knowledge that we record. The ways we hold knowledge about the past—in handwritten manuscripts, in printed books, in file folders, in databases—shape the kind of stories we tell about that past. In this lively and erudite look at the relation of our information infrastructures to our information, Geoffrey Bowker examines how, over the past two hundred years, information technology has converged with the nature and production of scientific knowledge. His story weaves a path between the social and political work of creating an explicit, indexical memory for science—the making of infrastructures—and the variety of ways we continually reconfigure, lose, and regain the past. At a time when memory is so cheap and its recording is so protean, Bowker reminds us of the centrality of what and how we choose to forget. In Memory Practices in the Sciences he looks at three "memory epochs" of the nineteenth, twentieth, and twenty-first centuries and their particular reconstructions and reconfigurations of scientific knowledge. The nineteenth century's central science, geology, mapped both the social and the natural world into a single time package (despite apparent discontinuities), as, in a different way, did mid-twentieth-century cybernetics. Both, Bowker argues, packaged time in ways indexed by their information technologies to permit traffic between the social and natural worlds. Today's sciences of biodiversity, meanwhile, "database the world" in a way that excludes certain spaces, entities, and times. We use the tools of the present to look at the past, says Bowker; we project onto nature our modes of organizing our own affairs.
Author | : Robert S. Cohen |
Publisher | : Springer Science & Business Media |
Total Pages | : 475 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400962339 |
To the scientists and philosophers of our time, Hegel has been either a ne glected or a provocative thinker, a source of irrelevant dark metaphysics or of complex but insightful analysis. His influence upon the work of natural scientists has seemed minimal, in the main; and his stimulus to the nascent sciences of society and to psychology has seemed to be as often an obstacle as an encouragement. Nevertheless his philosophical analysis of knowledge and the knowing process, of concepts and their evolutionary formation, of rationality in its forms and histories, of the stages of empirical awareness and human practice, all set within his endless inquiries into cultural formations from the entire sweep of human experience, must, we believe, be confronted by anyone who wants to understand the scientific consciousness. Indeed, we may wish to situate the changing theories of nature, and of humankind in nature, within a philosophical account of men and women as social practi tioners and as sensing, thinking, feeling centers of privacy; and then we will see the work of Hegel as a major effort to mediate between the purest of epistemological investigations and the most practical of the political and the religious. This book, long delayed to our deep regret, derives from a Symposium on Hegel and the Sciences which was sponsored jointly by the Hegel Society of America and the Boston University Center for Philosophy and History of Science a decade ago.
Author | : Fernando Vidal |
Publisher | : University of Chicago Press |
Total Pages | : 429 |
Release | : 2011-12-01 |
Genre | : Science |
ISBN | : 0226855880 |
Fernando Vidal’s trailblazing text on the origins of psychology traces the development of the discipline from its appearance in the late sixteenth century to its redefinition at the end of the seventeenth and its emergence as an institutionalized field in the eighteenth. Originally published in 2011, The Sciences of the Soul continues to be of wide importance in the history and philosophy of psychology, the history of the human sciences more generally, and in the social and intellectual history of eighteenth-century Europe.