Logic: A Modern Guide

Milton Keynes: Think Logically Books (2016)
Authors
Colin Beckley
Oxford Brookes University
Abstract
This book is written for those who wish to learn some basic principles of formal logic but more importantly learn some easy methods to unpick arguments and assess their value for truth and validity. The first section explains the ideas behind traditional logic which was formed well over two thousand years ago by the ancient Greeks. Terms such as ‘categorical syllogism’, ‘premise’, ‘deduction’ and ‘validity’ may appear at first sight to be inscrutable but will easily be understood with examples bringing the subjects to life. Traditionally, Venn diagrams have been employed to test arguments. These are very useful but their application is limited and they are not open to quantification. The mid-section of this book introduces a methodology that makes the analysis of arguments accessible with the use of a new form of diagram, modified from those of the mathematician Leonhard Euler. These new diagrammatic methods will be employed to demonstrate an addition to the basic form of syllogism. This includes a refined definition of the terms ‘most’ and ‘some’ within propositions. This may seem a little obscure at the moment but one will readily apprehend these new methods and principles of a more modern logic.
Keywords Logic  Euler  Categorical Syllogisms  Modern diagrams  Validity  Exercises  Introductory
Categories (categorize this paper)
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Socratic Logic.Peter Kreeft - 2005 - St. Augustine's Press.
How Diagrams Can Support Syllogistic Reasoning: An Experimental Study.Yuri Sato & Koji Mineshima - 2015 - Journal of Logic, Language and Information 24 (4):409-455.
Euler's Visual Logic.Eric Hammer & Sun-Joo Shin - 1998 - History and Philosophy of Logic 19 (1):1-29.
Equivalence of Syllogisms.Fred Richman - 2004 - Notre Dame Journal of Formal Logic 45 (4):215-233.
Stoic Syllogistic.Susanne Bobzien - 1996 - Oxford Studies in Ancient Philosophy 14:133-92.
Stoic Logic.Susanne Bobzien - 2003 - In Brad Inwood (ed.), The Cambridge Companion to Stoic Philosophy. Cambridge University Press.
Lewis Carroll's Visual Logic.Francine Abeles - 2007 - History and Philosophy of Logic 28 (1):1-17.
A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.

Analytics

Added to PP index
2017-08-21

Total downloads
156 ( #38,617 of 2,293,841 )

Recent downloads (6 months)
100 ( #3,084 of 2,293,841 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature