## 12 Jul 2017

### Priest (7.1) An Introduction to Non-Classical Logic, ‘Introduction [to 7 Many-valued Logics]’, summary

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[The following is summary of Priest’s text, which is already written with maximum efficiency. Bracketed commentary and boldface are my own, unless otherwise noted. I do not have specialized training in this field, so please trust the original text over my summarization. I apologize for my typos and other distracting mistakes, because I have not finished proofreading.]

Summary of

Graham Priest

An Introduction to Non-Classical Logic: From If to Is

Part I. Propositional Logic

7. Many-valued Logics

7.1. Introduction

Brief summary:

Many-valued logics have more than two truth values. We will examine the semantics of propositional many-valued logics in this chapter along with other philosophical and logical issues related to many-valuedness.

Summary

7.1.1

[Many-valued logics have more than two truth values.]

This chapter is about propositional many-valued logics, which are “logics in which there are more than two truth values” (120).

7.1.2

[In this chapter we focus on the semantics of many-valued logics.]

In this chapter we look mostly at the semantics of many-valued logics and not at proof procedures. We study tableaux in the next chapter (120).

7.1.3

[We also will examine other related philosophical and logical issues related to many-valuedness.]

In this chapter we also examine “some of the philosophical issues that have motivated many-valued logics, how many-valuedness affects the issue of the conditional, and a few other noteworthy issues” (120).

Priest, Graham. 2008 [2001]. An Introduction to Non-Classical Logic: From If to Is, 2nd edn. Cambridge: Cambridge University.

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