This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.

This paper details research which investigated a probable causal connection between taking an introductory logic course and significant improvement in logical skills. The authors first detail the setting (a two-year, open-access unit of the University of Cincinnati), the student body (the authors note that many students enter the college with several notable types of academic disadvantage), and the content of an introductory logic course. Following this, they summarize and defend their research protocol and the results of their study. Findings include (...) a statistically significant increase in students’ logical skills after enrollment in a one-quarter introductory logic course. After a statistical analysis of their findings, the authors discuss several possible applications, extensions, and improvements of their research protocol, concluding that the generalizability of their study is limited due to the myriad variables that attend teaching. (shrink)

Peer Instruction is a simple and effective technique you can use to make lectures more interactive, more engaging, and more effective learning experiences. Although well known in science and mathematics, the technique appears to be little known in the humanities. In this paper, we explain how Peer Instruction can be applied in philosophy lectures. We report the results from our own experience of using Peer Instruction in undergraduate courses in philosophy, formal logic, and critical thinking. We have consistently found it (...) to be a highly effective method of improving the lecture experience for both students and the lecturer. (shrink)

In medieval writers an important distinction was drawn between two applications of the term ‘logica’: there was logica utens, the practice of thinking logically about this or that subject-matter, and there was logica docens, the construction of logical theory. Of course the English word ‘logic’ and its derivative ‘logical’ have a corresponding twofold meaning, and we ignore the distinction at the risk of serious confusion. ‘Logical thought’ may mean thinking that is being commended as orderly, consistent, and consequent, whatever its (...) subject-matter; or it may mean the thinking of logicians about logic, which alas has not always exhibited these virtues. Similarly for ‘teaching logic’: there is trying to get people, by precept and example, to be orderly, consistent, and consequent in their thinking, and there is the endeavour to train logicians for the next generation. In any respectable philosophy department there will be someone teaching logic in the first sense; in my own university there are very many first-year undergraduates who do a course called Reason and Argument with this aim. But we hold that the teacher of such logica utens must himself have a sufficient skill in logica docens if he is to do his job properly; and we undertake the further task of training people in logical theory so that some of them, who have sufficient native ability and motivation, may take up the torch from their teachers. (shrink)

Every university student has his or her nemesis. Biology and social science students anticipate with great apprehension their required statistics course, while many philosophy students live in fear of formal logic. Math anxiety is the common thread uniting all of them. This article argues that since formal logic is an algebra requiring similar kinds of symbol-manipulation skills needed to succeed in a basic mathematics course, then if logic students have math anxiety, this can impede their progress. Further, it argues that (...) math anxiety is primarily caused by and exacerbated by poor instruction. Formal logic instructors who employ effective instructional techniques for reducing it can help their students overcome math anxiety to foster learning. Methods of instruction leading to anxiety reduction and evidence supporting their efficacy are discussed, including co-operative learning, the mastery goal approach, and self-paced learning. None of these methods holds back more advanced students. (shrink)

In medieval writers an important distinction was drawn between two applications of the term ‘logica’: there was logica utens, the practice of thinking logically about this or that subject-matter, and there was logica docens, the construction of logical theory. Of course the English word ‘logic’ and its derivative ‘logical’ have a corresponding twofold meaning, and we ignore the distinction at the risk of serious confusion. ‘Logical thought’ may mean thinking that is being commended as orderly, consistent, and consequent, whatever its (...) subject-matter; or it may mean the thinking of logicians about logic, which alas has not always exhibited these virtues. Similarly for ‘teaching logic’: there is trying to get people, by precept and example, to be orderly, consistent, and consequent in their thinking, and there is the endeavour to train logicians for the next generation. In any respectable philosophy department there will be someone teaching logic in the first sense; in my own university there are very many first-year undergraduates who do a course called Reason and Argument with this aim. But we hold that the teacher of such logica utens must himself have a sufficient skill in logica docens if he is to do his job properly; and we undertake the further task of training people in logical theory so that some of them, who have sufficient native ability and motivation, may take up the torch from their teachers. (shrink)

This article advances the view that propositional logic can and should be taught within general education logic courses in ways that emphasizes its practical usefulness, much beyond what commonly occurs in logic textbooks. Discussion and examples of this relevance include database searching, understanding structured documents, and integrating concepts of proof construction with argument analysis. The underlying rationale for this approach is shown to have import for questions concerning the design of logic courses, textbooks, and the general education curriculum, particularly the (...) sequencing of formal and informal logic courses. (shrink)