We generalize the notion of a monadic algebra to that of a pseudomonadic algebra. In the same way as monadic algebras serve as algebraic models of epistemic modal system S5, pseudomonadic algebras serve as algebraic models of doxastic modal system KD45. The main results of the paper are: (1) Charact
Logic as algebra
โ Scribed by Paul Halmos, Steven Givant
- Book ID
- 127396965
- Publisher
- Mathematical Association of America
- Year
- 1998
- Tongue
- English
- Weight
- 846 KB
- Series
- The Dolciani mathematical expositions 21
- Category
- Library
- City
- [Washington, D.C.]
- ISBN-13
- 9780883853276
No coin nor oath required. For personal study only.
โฆ Synopsis
Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed to understand the book is some basic acquaintance with algebra.
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