Contents

pp v-vi

Preface

pp vii-x

Part I - Foundations of probability

pp 1-2

1 - Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualitative probability ordering

pp 3-9

2 - Necessary and sufficient qualitative axioms for conditional probability

pp 10-16

3 - On using random relations to generate upper and lower probabilities

pp 17-28

4 - Conditions on upper and lower probabilities to imply probabilities

pp 29-49

5 - Qualitative axioms for random-variable representation of extensive quantities

pp 50-64

Part II - Causality and quantum mechanics

pp 65-66

6 - Stochastic incompleteness of quantum mechanics

pp 67-82

7 - On the determinism of hidden variable theories with strict correlation and conditional statistical independence of observables

pp 83-91

8 - A new proof of the impossibility of hidden variables using the principles of exchangeability and identity of conditional distributions

pp 92-104

9 - When are probabilistic explanations possible?

pp 105-112

10 - Causality and symmetry

pp 113-121

11 - New Bell-type inequalities for N > 4 necessary for existence of a hidden variable

pp 122-127

12 - Existence of hidden variables having only upper probabilities

pp 128-146

Part III - Applications in education

pp 147-148

13 - Mastery learning of elementary mathematics: Theory and data

pp 149-188

Author Index

pp 189-190

Subject Index

pp 191-193