Proof and Disproof in Formal Logic

This book PDF is perfect for those who love Mathematics genre, written by Richard Bornat and published by OUP Oxford which was released on 21 July 2005 with total hardcover pages 264. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Proof and Disproof in Formal Logic books below.

Proof and Disproof in Formal Logic
Author : Richard Bornat
File Size : 40,9 Mb
Publisher : OUP Oxford
Language : English
Release Date : 21 July 2005
ISBN : 9780191586767
Pages : 264 pages
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Proof and Disproof in Formal Logic by Richard Bornat Book PDF Summary

Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic providing an excellent insight into how a simple logic works. Formal logic allows you to check a logical claim without considering what the claim means. This highly abstracted idea is an essential and practical part of computer science. The idea of a formal system—a collection of rules and axioms which define a universe of logical proofs—is what gives us programming languages and modern-day programming. This book concentrates on using logic as a tool: making and using formal proofs and disproofs of particular logical claims. The logic it uses—natural deduction—is very small and very simple; working with it helps you see how large mathematical universes can be built on small foundations. The book is divided into four parts: · Part I "Basics" gives an introduction to formal logic with a short history of logic and explanations of some technical words. · Part II "Formal syntactic proof" show you how to do calculations in a formal system where you are guided by shapes and never need to think about meaning. Your experiments are aided by Jape, which can operate as both inquisitor and oracle. · Part III "Formal semantic disproof" shows you how to construct mathematical counterexamples to show that proof is impossible. Jape can check the counterexamples you build. · Part IV "Program specification and proof" describes how to apply your logical understanding to a real computer science problem, the accurate description and verification of programs. Jape helps, as far as arithmetic allows. Aimed at undergraduates and graduates in computer science, logic, mathematics, and philosophy, the text includes reference to and exercises based on the computer software package Jape, an interactive teaching and research tool designed and hosted by the author that is freely available on the web.

Proof and Disproof in Formal Logic

Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic providing an excellent insight into how a simple logic works. Formal logic allows you to check a logical claim without considering what the claim means. This highly abstracted idea is an essential and practical part

Get Book
Proof and Disproof in Formal Logic

"Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic that provides an excellent insight into how a simple logic works. The text concentrates on practical skills: making proofs and disproofs of particular logical claims. The logic it employs - Natural Deduction - is very

Get Book
Proof and Disproof in Formal Logic

Proof and Disproof in Formal Logic is a lively and entertaining introduction to formal logic providing an excellent insight into how a simple logic works. This book concentrates on using logic as a tool: making and using formal proofs and disproofs of particular logical claims. The logic it uses -

Get Book
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