Reasoning


Book Description

Anthony Simon Laden explores the kind of reasoning we engage in when we live together: when we are responsive to others and neither commanding nor deferring to them. He argues for a new, social picture of the activity of reasoning, in which reasoning is a species of conversation—social, ongoing, and governed by a set of characteristic norms.




Principles of Knowledge Representation and Reasoning


Book Description

Stringently reviewed papers presented at the October 1992 meeting held in Cambridge, Mass., address such topics as nonmonotonic logic; taxonomic logic; specialized algorithms for temporal, spatial, and numerical reasoning; and knowledge representation issues in planning, diagnosis, and natural langu




Superminds


Book Description

This is the first book-length presentation and defense of a new theory of human and machine cognition, according to which human persons are superminds. Superminds are capable of processing information not only at and below the level of Turing machines (standard computers), but above that level (the "Turing Limit"), as information processing devices that have not yet been (and perhaps can never be) built, but have been mathematically specified; these devices are known as super-Turing machines or hypercomputers. Superminds, as explained herein, also have properties no machine, whether above or below the Turing Limit, can have. The present book is the third and pivotal volume in Bringsjord's supermind quartet; the first two books were What Robots Can and Can't Be (Kluwer) and AI and Literary Creativity (Lawrence Erlbaum). The final chapter of this book offers eight prescriptions for the concrete practice of AI and cognitive science in light of the fact that we are superminds.




Handbook of Intuition Research as Practice


Book Description

How can intuition research inform practice? As the use of intuition in business has become more widely accepted, companies struggle to understand how to use this additional resource efficiently, while corporate trainers and university educators lack tools to develop it as a skill. This truly international Handbook provides relevant answers in a concise, digestible format using real-life examples and new research.




On Reasoning and Argument


Book Description

This book brings together in one place David Hitchcock’s most significant published articles on reasoning and argument. In seven new chapters he updates his thinking in the light of subsequent scholarship. Collectively, the papers articulate a distinctive position in the philosophy of argumentation. Among other things, the author:• develops an account of “material consequence” that permits evaluation of inferences without problematic postulation of unstated premises.• updates his recursive definition of argument that accommodates chaining and embedding of arguments and allows any type of illocutionary act to be a conclusion. • advances a general theory of relevance.• provides comprehensive frameworks for evaluating inferences in reasoning by analogy, means-end reasoning, and appeals to considerations or criteria.• argues that none of the forms of arguing ad hominem is a fallacy.• describes proven methods of teaching critical thinking effectively.




Proceedings of the Ninth International Congress on Mathematical Education


Book Description

Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of educational improvements and in research on the nature of teaching and learning.




Philosophy of Mathematics


Book Description

The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.




Normative Reasons


Book Description

The first accessible, detailed overview of the debates about normative reasons, developing a new theory based on why-questions.




Reasoning Web


Book Description

This book contains a collection of thoroughly revised tutorial papers based on lectures given by leading researchers at the 4th International Summer School on the Reasoning Web, held in Venice, Italy, in September 2008. The objective of the book is to provide a coherent introduction to semantic web methods and research issues with a particular focus on reasoning. The seven tutorial papers presented provide competent coverage of methods and major application areas such as social networks, semantic multimedia indexing and retrieval, bioinformatics, and semantic web services. They highlight which techniques are already being successfully applied for purposes such as improving the performance of information retrieval algorithms, enabling the interoperation of heterogeneous agents, modelling users profiles and social relations, and standardizing and improving the accuracy of very large and dynamic scientific databases.




From Kant to Hilbert Volume 1


Book Description

Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.