Numbers Sets And Axioms
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Numbers, Sets and Axioms
Author: A. G. Hamilton
language: en
Publisher: Cambridge University Press
Release Date: 1982
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.
Axiomatic Set Theory
Author: Patrick Suppes
language: en
Publisher: Courier Corporation
Release Date: 1972-01-01
Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Principia Mathematica
Author: Alfred North Whitehead
language: en
Publisher: Cambridge University Press
Release Date: 1927
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.