## Abstract Constructive set theory started with Myhill's seminal 1975 article [8]. This paper will be concerned with axiomatizations of the natural numbers in constructive set theory discerned in [3], clarifying the deductive relationships between these axiomatizations and the strength of various
First steps in constructive game theory
β Scribed by Douglas S. Bridges
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 127 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The minimax theorem of matrix game theory is examined from a constructive point of view. It is then shown that the existence of solutions for matrix games cannot be proved constructively, but that a 2βbyβ2 game with at most one solution has a constructible solution. (Β© 2004 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
## Abstract Bar Induction occupies a central place in Brouwerian mathematics. This note is concerned with the strength of Bar Induction on the basis of Constructive ZermeloβFraenkel Set Theory, CZF. It is shown that CZF augmented by decidable Bar Induction proves the 1βconsistency of CZF. This answ
## Communicated by K. Guerlebeck As is well known, a possible generalization to R 4 of the classical Cauchy-Riemann system leads to the so-called Riesz system. The main goal of this paper is to construct explicitly a complete orthonormal system of polynomial solutions of this system with respect t