This book is an introduction to set theory in which the author develops the subject from first principles and presupposes little more than an elementary grounding in logic. Throughout much attention is paid to the historical and philosophical background which illuminates the subject's development. This book differs from most by providing a particularly elegant and intuitive approach based on Scott's formulation of standard set theory in which sets are built up stage by stage. This approach has the advantage of introducing the axioms of set theory in a natural way and shows how they come to take the form they do. The book covers all the basic tools of set theory: the natural numbers, cardinals, ordinals, and the axiom of choice in some detail. It also provides an account of the representation theory of lattices and how this is closely connected with the various forms of the axiom of choice.
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'This text offers a new and interesting view of the foundations of mathematics, rigorously developed and written in a comprehensible style.' H. Mitsch, Monatshefte fur Mathematik
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Book Description Clarendon Press. PAPERBACK. Book Condition: New. 0198533993 New Condition. Bookseller Inventory # NEW6.1058554
Book Description Clarendon Press, 1990. Paperback. Book Condition: New. Bookseller Inventory # P110198533993
Book Description Clarendon Press, 1991. Paperback. Book Condition: Brand New. 256 pages. 9.25x6.50x0.75 inches. In Stock. Bookseller Inventory # zk0198533993
Book Description Oxford University Press, 1990. Paperback. Book Condition: New. book. Bookseller Inventory # 0198533993
Book Description Oxford University Press, USA, 1990. Paperback. Book Condition: New. Bookseller Inventory # DADAX0198533993