Tag: Axiomatic

Free Download Economic Theory of Fuzzy Equilibria: An Axiomatic Analysis By Prof. Antoine Billot (auth.)
1995 | 180 Pages | ISBN: 3642799515 | PDF | 9 MB
Fuzzy set theory, which started not much more than 20 years ago as a generalization of classical set theory, has in the meantime evolved into an area which scientifically, as well as from the point of view of applications, is recognized as a very valuable contribution to the existing knowledge. This book provides a remarkable contribution to Fuzzy Economics and presents the state of the art in fuzzy theory of value, namely the aggregated model of microeconomics with fuzzy behaviours. It presents an analysis of classical problems with new tools which lead to interesting results.

Free Download The Tarskian Turn: Deflationism and Axiomatic Truth By Leon Horsten
2011 | 178 Pages | ISBN: 0262015862 | PDF | 6 MB
In The Tarskian Turn, Leon Horsten investigates the relationship between formal theories of truth and contemporary philosophical approaches to truth. The work of mathematician and logician Alfred Tarski (1901–1983) marks the transition from substantial to deflationary views about truth. Deflationism–which holds that the notion of truth is light and insubstantial–can be and has been made more precise in multiple ways. Crucial in making the deflationary intuition precise is its relation to formal or logical aspects of the notion of truth. Allowing that semantical theories of truth may have heuristic value, in The Tarskian Turn Horsten focuses on axiomatic theories of truth developed since Tarski and their connection to deflationism. Arguing that the insubstantiality of truth has been misunderstood in the literature, Horsten proposes and defends a new kind of deflationism, inferential deflationism, according to which truth is a concept without a nature or essence. He argues that this way of viewing the concept of truth, inspired by a formalization of Kripke’s theory of truth, flows naturally from the best formal theories of truth that are currently available. Alternating between logical and philosophical chapters, the book steadily progresses toward stronger theories of truth. Technicality cannot be altogether avoided in the subject under discussion, but Horsten attempts to strike a balance between the need for logical precision on the one hand and the need to make his argument accessible to philosophers.

Free Download G. Takeuti, W.M. Zaring, "Introduction to Axiomatic Set Theory"
English | 1982 | pages: 255 | ISBN: 1461381703, 0387906835 | PDF | 15,1 mb
In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel’s work on the con sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen’s work on the independence of the AC and the GCH. Notes taken in 1963 by the second author were taught by him in 1966, revised extensively, and are presented here as an introduction to axiomatic set theory. Texts in set theory frequently develop the subject rapidly moving from key result to key result and suppressing many details. Advocates of the fast development claim at least two advantages. First, key results are high lighted, and second, the student who wishes to master the subject is com pelled to develop the detail on his own. However, an instructor using a "fast development" text must devote much class time to assisting his students in their efforts to bridge gaps in the text.

Free Download Proceedings of the 15th International Conference on Axiomatic Design 2023
English | 2024 | ISBN: 3031499190 | 313 Pages | PDF (True) | 35 MB
This book of carefully selected research papers captures the essence of systems engineering. It offers readers a comprehensive exploration in the most recent applications and advancements of Axiomatic Design, a powerful method that elevates the level of product design and manufacturing. Although Axiomatic Design originated at the Massachusetts Institute of Technology (MIT) in Boston, it has been further developed by an active community of users and academics from all over the world. For the 15th time, the International Conference on Axiomatic Design convened global experts to discuss the core of the methodology. Their shared objective was to advance systems engineering, catering to the increasing complexity of modern product design.

Free Download Proceedings of the 15th International Conference on Axiomatic Design 2023
English | 2024 | ISBN: 3031499190 | 313 Pages | PDF (True) | 35 MB
This book of carefully selected research papers captures the essence of systems engineering. It offers readers a comprehensive exploration in the most recent applications and advancements of Axiomatic Design, a powerful method that elevates the level of product design and manufacturing. Although Axiomatic Design originated at the Massachusetts Institute of Technology (MIT) in Boston, it has been further developed by an active community of users and academics from all over the world. For the 15th time, the International Conference on Axiomatic Design convened global experts to discuss the core of the methodology. Their shared objective was to advance systems engineering, catering to the increasing complexity of modern product design.

Free Download An Axiomatic Basis for Quantum Mechanics: Volume 1 Derivation of Hilbert Space Structure by Günther Ludwig
English | PDF | 1985 | 254 Pages | ISBN : 3642700314 | 33 MB
This book is the first volume of a two-volume work, which is an improved version of a preprint [47] published in German. We seek to deduce the funda mental concepts of quantum mechanics solely from a description of macroscopic devices. The microscopic systems such as electrons, atoms, etc. must be detected on the basis of the macroscopic behavior of the devices. This detection resembles the detection of the dinosaurs on the basis offossils. In this first volume we develop a general description of macroscopic systems by trajectories in state spaces. This general description is a basis for the special de scription of devices consisting of two parts, where the first part is acting on the second. The microsystems are discovered as systems transmitting the action. Axioms which describe general empirical structures of the interactions between the two parts of each device, give rise to a derivation of the Hilbert space structure of quantum mechanics. Possibly, these axioms (and consequently the Hilbert space structure) may fail to describe other realms than the structure of atoms and mole cules, for instance the "elementary particles". This book supplements ref. [2]. Both together not only give an extensive foundation of quantum mechanics but also a solution in principle of the measuring problem.