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Plato's Symposium - Frisbee Sheffield - Bog - Oxford University Press - Plusbog.dk

Set Theory with a Universal Set - T. E. Forster - Bog - Oxford University Press - Plusbog.dk

Monogatari Series Box Set, Final Season - Nisioisin - Bog - Vertical, Inc. - Plusbog.dk

Hesitant Fuzzy Set - Bahram Farhadinia - Bog - Springer Verlag, Singapore - Plusbog.dk

A Logical Foundation for Potentialist Set Theory - Sharon Berry - Bog - Cambridge University Press - Plusbog.dk

Classic Set Theory - D. C. Goldrei - Bog - Taylor & Francis Ltd - Plusbog.dk

Intuitive Axiomatic Set Theory - Jose L Garcia - Bog - Taylor & Francis Ltd - Plusbog.dk

Intuitive Axiomatic Set Theory - Jose L Garcia - Bog - Taylor & Francis Ltd - Plusbog.dk

Set theory can be rigorously and profitably studied through an intuitive approach, thus independently of formal logic. Nearly every branch of Mathematics depends upon set theory, and thus, knowledge of set theory is of interest to every mathematician. This book is addressed to all mathematicians and tries to convince them that this intuitive approach to axiomatic set theory is not only possible but also valuable. The book has two parts. The first one presents, from the sole intuition of "collection" and "object", the axiomatic ZFC-theory. Then, we present the basics of the theory: the axioms, well-orderings, ordinals and cardinals are the main subjects of this part. In all, one could say that we give some standard interpretation of set theory, but this standard interpretation results in a multiplicity of universes. The second part of the book deals with the independence proofs of the continuum hypothesis (CH) and the axiom of choice (AC), and forcing is introduced as a necessary tool, and again the theory is developed intuitively, without the use of formal logic. The independence results belong to the metatheory, as they refer to things that cannot be proved, but the greater part of the arguments leading to the independence results, including forcing, are purely set-theoretic. The book is self-contained and accessible to beginners in set theory. There are no prerequisites other than some knowledge of elementary mathematics. Full detailed proofs are given for all the results.

DKK 825.00
1

Pink A Band Set - - Bog - HarperCollins Publishers - Plusbog.dk

Total Incal Boxed Set - Alejandro Jodorowsky - Bog - Humanoids, Inc - Plusbog.dk

Naive Set Theory - Fabio Ferrari Ruffino - Bog - Taylor & Francis Ltd - Plusbog.dk

Naive Set Theory - Fabio Ferrari Ruffino - Bog - Taylor & Francis Ltd - Plusbog.dk

Naïve Set Theory: A Rigorous Approach aims to provide a complete and unitary presentation of naive set theory as the foundation of the whole mathematics. Suitable for undergraduate students, this book focuses on the main foundational issues, trying to clarify explicitly what is (necessarily) assumed as intuitively known and what is rigorously founded on more elementary concepts. It analyses in detail the nature of natural numbers, both as metatheoretical objects and through their set-theoretical model. The author also pays particular attention to some topics that are not usually covered by the literature on naive set theory, like the universal properties of Cartesian product and disjoint union, that lead to a precise formulation of their basic features (associativity, commutativity, and distributivity). The exposition is organized coherently from the initial meta-theoretical notions to the construction of the universe of well-founded sets. Features : - Replete with exercises, partially spread within the text and partially listed at the end of each chapter with a solutions manual available on www.Routledge.com/9781032933047. - Covers foundational topics that are not usually discussed in the literature on naive set theory, such as universal properties of Cartesian product and disjoint union, through which one can properly state associativity, commutativity, and distributivity of these operations.

DKK 967.00
1