"Visual Intelligence: How We Create What We See"
Donald D. Hoffman
1998, W.W. Norton

<>"This book is a highly illustrated and accessible introduction to visual intelligence, informed by the latest breakthroughs in vision research. Perhaps the most surprising insight that has emerged from vision research is this: Vision is not merely a matter of passive perception, it is an intelligent process of active construction. What you see is, invariably, what your visual intelligence constructs. Just as scientists intelligently
construct useful theories based on experimental evidence, so vision intelligently constructs useful visual worlds based on images at the eyes. The main difference is that the constructions of scientists are done consciously, but those of vision are done, for the most part, unconsciously."

"Knowledge Spaces"

Jean-Paul Doignon  and Jean-Claude Falmagne
1999, Springer
ISBN #:  3-540-64501

Knowledge Spaces are combinatoric structures providing the mathematical foundation for various practical systems of knowledge assessment. These structures generalize partially ordered sets and are investigated both from a combinatorial and stochastic viewpoint. The material is of interest to mathematically oriented readers in education, computer science and combinatorics at research and graduate level. 

"Utility of Gains and Losses: Measurment-Theoretical and Experimental Approaches"

R. Duncan Luce

2000, Lawrence Erlbaum Associates, Mahwah, NJ
ISBN # 0-8058-3460-5This monograph brings together a decade of work that for gains alone or losses alone is like the cumulative weighting of a number of other utility theories, but for mixed gains and losses is novel. The key technical device is to study preferences both over certain and uncertain alternatives (gambles) and over their joint receipt (having two or more gambles as a bundle). Axioms describe preferences over gambles and joint receipt separately as well as how they interact. These lead deductively to a value function that is additive over joint receipts and non-linearly related to the utility expression for gambles. Together, they result in new expressions for mixed gains and losses. Relations to the empirical literature are covered and empirical studies suggested.

"Elements of Psychophysical Theory"
 Jean-Claude Falmagne
2002, Oxford Psychology Series VI, paperback
1985 Oxford University Press
IBSN 0-19-503-493-7; 0-19-514-832-0 (pbk)

Presents the basic notions of classical psychophysics from the modern viewpoint offered by measurement theory.
The text contains an introduction to measurement theory and functional equations, with numerous applications to psychophysics. Other chapters cover Fechnerian psychophysics, psychometric functions theory, discrimination models, signal detection theory and homogeneity laws.

"Theories of Meaningfulness"
Louis Narens
2002, Lawrence Erlbaum Associates, Mahwah, NJ

"Lectures in Elementary Probability and Stochastic Processes"
Jean-Claude Falmagne
2003, McGraw-Hill Higher Education
ISBN 0-07-244890-3

Provides a foundation for mathematical statistics and mathematical modelling. The book is appropriate for  one-term courses in elementary probability. Most of it is accessible to students with a limited background in calculus. One introductory chapter is devoted to well-known examples of faulty probabilistic reasoning and proposes startegies for avoiding common mistakes.