eBook - ePub

Naïve Set Theory

Name: Naïve Set Theory
Author: Fabio Ferrari Ruffino

A Rigorous Approach

Fabio Ferrari Ruffino,

248 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Naïve Set Theory

A Rigorous Approach

Fabio Ferrari Ruffino,

About this book

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.

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Yes, you can access Naïve Set Theory by Fabio Ferrari Ruffino in PDF and/or ePUB format, as well as other popular books in Mathematics & Discrete Mathematics. We have over one million books available in our catalogue for you to explore.