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Cardinal And Ordinal Numbers

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Cardinal And Ordinal Numbers

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Author : Inda Ravitsky
language : en
Publisher:
Release Date : 1945

Cardinal And Ordinal Numbers written by Inda Ravitsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1945 with categories.

Numbers Sets And Axioms

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Author : A. G. Hamilton
language : en
Publisher: Cambridge University Press
Release Date : 1982

Numbers Sets And Axioms written by A. G. Hamilton and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.