Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being
Title | Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being PDF eBook |
Author | George Lakoff |
Publisher | |
Total Pages | 520 |
Release | 2000-11-02 |
Genre | Mathematics |
ISBN |
A study of the cognitive science of mathematical ideas.
Reclaiming Cognition
Title | Reclaiming Cognition PDF eBook |
Author | Rafael E. Núñez |
Publisher | Imprint Academic |
Total Pages | 310 |
Release | 1999 |
Genre | Brain |
ISBN | 9780907845065 |
Traditional cognitive science is Cartesian in the sense that it takes as fundamental the distinction between the mental and the physical, the mind and the world. This leads to the claim that cognition is representational and best explained using models derived from AI and computational theory. The authors depart radically from this model.
Embodied Artificial Intelligence
Title | Embodied Artificial Intelligence PDF eBook |
Author | Fumiya Iida |
Publisher | Springer |
Total Pages | 339 |
Release | 2004-07-02 |
Genre | Computers |
ISBN | 3540278338 |
Originating from a Dagstuhl seminar, the collection of papers presented in this book constitutes on the one hand a representative state-of-the-art survey of embodied artificial intelligence, and on the other hand the papers identify the important research trends and directions in the field. Following an introductory overview, the 23 papers are organized into topical sections on - philosophical and conceptual issues - information, dynamics, and morphology - principles of embodiment for real-world applications - developmental approaches - artificial evolution and self-reconfiguration
18 Unconventional Essays on the Nature of Mathematics
Title | 18 Unconventional Essays on the Nature of Mathematics PDF eBook |
Author | Reuben Hersh |
Publisher | Springer Science & Business Media |
Total Pages | 346 |
Release | 2006-01-16 |
Genre | Mathematics |
ISBN | 0387298312 |
Collection of the most interesting recent writings on the philosophy of mathematics written by highly respected researchers from philosophy, mathematics, physics, and chemistry Interdisciplinary book that will be useful in several fields—with a cross-disciplinary subject area, and contributions from researchers of various disciplines
How Humans Learn to Think Mathematically
Title | How Humans Learn to Think Mathematically PDF eBook |
Author | David Tall |
Publisher | Cambridge University Press |
Total Pages | 483 |
Release | 2013-09-02 |
Genre | Education |
ISBN | 1107035708 |
How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
Concepts of Modern Mathematics
Title | Concepts of Modern Mathematics PDF eBook |
Author | Ian Stewart |
Publisher | Courier Corporation |
Total Pages | 368 |
Release | 2012-05-23 |
Genre | Mathematics |
ISBN | 0486134954 |
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
Principles of Mathematics
Title | Principles of Mathematics PDF eBook |
Author | Bertrand Russell |
Publisher | |
Total Pages | 552 |
Release | 2009-08 |
Genre | Mathematics |
ISBN | 0415487412 |
Mathematics.