Circuit theory: Foundation and classical contributions

Reflective Oracles: A Foundation for Classical Game Theory

Classical game theory treats players as special—a description of a game contains a full, explicit enumeration of all players—even though in the real world, “players” are no more fundamentally special than rocks or clouds. It isn’t trivial to find a decision-theoretic foundation for game theory in which an agent’s coplayers are a non-distinguished part of the agent’s environment. Attempts to mod...

Contributions to Foundation Engineering in Geotechnique

Many of the important developments in the field of foundation engineering have been addressed in Géotech-nique papers over the past 60 years. This paper briefly reviews some of these developments and related articles, particularly with respect to shallow and deep foundations. In the early days of Géotechnique, the power to perform sophisticated numerical analyses did not exist. Papers tended to...

On the mathematical foundation of classical thermodynamics

Methodological Shortcomings in Classical Mathematical Economics: A Critical Examination of the Contributions of Cournot, Jevons and Walras

This paper examines critically the contributions of Cournot, Jevons and Walras as the founders of classical mathematical economics from a methodological standpoint. Advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...

Covariant Foundation Theory

A foundation theory of quantum mechanics is proposed in another paper that governs state reduction in general, and particle localization in particular. The theory is based on a set of four rules called the nRules. In the present paper the nRules and the nRule equations are shown to be Lorentz invariant. The details of a non-local, space-like collapse of a relativistic wave function depend on th...