CONTENTS
1. Summary..............................................................................................................5
2. Spectral measure theory for Boolean and Heyting algebras................................5
2.1. Introduction.......................................................................................................5
2.2. Spectral measures for Boolean algebras..........................................................5
2.3. Spectral supermeasures for Heyting algebras.................................................11
3. Theory of the integral for Boolean and Heyting algebras...................................14
3.1. Introduction.....................................................................................................14
3.2. Theory of the integral......................................................................................14
4. Some numerical characteristics of random variables on Heyting algebras.........18
4.1. Introduction.....................................................................................................18
4.2. Expectation and variance................................................................................18
4.3. Other fundamental numerical characteristics of random variables..................24
References............................................................................................................28