Logic, Induction and Sets

Logic, Induction and Sets pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Forster, Thomas
出品人:
页数:244
译者:
出版时间:2003-7
价格:$ 54.24
装帧:
isbn号码:9780521533614
丛书系列:London Mathematical Society Student Texts
图书标签:
  • 数学
  • induction
  • Spy
  • Math
  • Logic
  • Induction
  • Sets
  • Mathematics
  • Reasoning
  • Proof
  • SetTheory
  • Discrete
  • Math
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具体描述

This is an introduction to logic and the axiomatization of set theory from a unique standpoint. Philosophical considerations, which are often ignored or treated casually, are here given careful consideration, and furthermore the author places the notion of inductively defined sets (recursive datatypes) at the centre of his exposition resulting in a treatment of well established topics that is fresh and insightful. The presentation is engaging, but always great care is taken to illustrate difficult points. Understanding is also aided by the inclusion of many exercises. Little previous knowledge of logic is required of the reader, and only a background of standard undergraduate mathematics is assumed.

作者简介

目录信息

1. Definitions and notations
2. Recursive datatypes
3. Partially ordered sets
4. Propositional calculus
5. Predicate calculus
6. Computable functions
7. Ordinals
8. Set theory
9. Answers to selected questions
· · · · · · (收起)

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