Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for (...) predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy. (shrink)

The Mohist Canons are a set of brief statements on a variety of philosophical and other topics by anonymous members of the Mohist school , an influential philosophical, social, and religious movement of China's Warring States period (479-221 B.C.). [1] Written and compiled most likely between the late 4th and mid 3rd century B.C., the Canons are often referred to as the “later Mohist” or “Neo-Mohist” canons, since they seem chronologically later than the bulk of the Mohist writings, most of (...) which are probably from the mid-5th to the late 4th century. The.. (shrink)

Historical Essays. HISTORY OF A FALLACY The logical fallacy that I am going to discuss here is one that it is quite easy to see by common sense in simple ...

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and (...) their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area. (shrink)

This article is a study of the Later Mohists' 'Lesser Selection (Xiaoqu)', which, more than any other early Chinese text, seems to engage in the study of logic. I focus on a procedure that the Mohists called mou . Arguments by mou are grounded in linguistic parallelism, implying perhaps that the Mohists were on the way to a formal analysis of argumentation. However, their main aim was to head off arguments by mou that targeted their own doctrines, and if their (...) argument succeeds then it entails that linguistic parallelism can never ground a cogent argument. In a way, this committed them to the view that formal logic cannot work, but the fact that they did not pursue this line of investigation was by no means inevitable. One consequence of this study is that the Later Mohists conducted their logical work by studying the behaviour of terms and verb phrases, and did not identify the sentence as a significant linguistic unit. This tends to confirm Chad Hansen's generalisation that early Chinese philosophers did not posit sentences or other sentence-like entities such as propositions, beliefs, or laws. Focusing on subsentential expressions did not stop the Mohists from addressing genuinely logical issues, but it may help explain the fact that they never developed a conception of logical structure. This study includes the complete Chinese text of the 'Lesser Selection' and a translation in English. (shrink)

A. C. Graham thinks that the parallelism in the Neo‐Moist Canons is about the deduction of sentences. On the contrary, Chad Hansen thinks that they are not plausibly treated as inference of deductive forms since the later Moists are at pains to show that they can “go wrong.” In this article, I shall try to provide a logical analysis and a constructive rather than defeatist interpretation of parallelism in the text. I argue that the Moists tend to express their ideas (...) in the “material mode of speech” to build up their semantic and pragmatic sensibility in philosophical thinking. (shrink)