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CCH recommends teaching children formal, or traditional,logic in 7th through 9th grades, after or concurrent to one year of elementary algebra or pre-algebra. Geometry is also a critical subject for teaching logical thinking, and should be taught after algebra sometime in 7th through 9th grades; the Geometry Links page should be of interest also. Please see The Subject of Logic for more information.
“Ariadne’s Thread is concerned with arguments related to politically significant ethical issues like abortion. The arguments are mainly ethical rather than legal or political. The purpose of this site is not to promote any particular answer to any particular question. It is rather to help each of us to critically analyze, to practice a kind of moral reasoning, and to develop reasoned views of our own. This is one place to pick up the thread. Activity on this site consists in following a trail or thread of arguments, answering questions, replying to objections, and thinking about the concepts and the logic of what is said.” Current topics include Abortion, Affirmative Action, and Hate Speech. Good practical practice for both dialectic and rhetoric stage students: use the site to find arguments and practice strengthening or refuting them; analyze others’ logic for flaws, and identify fallacies.
This website contains mathematical “proofs” demonstrating, among other things, that 1 = 2 and that all people in Canada are the same age. Each “proof” consists of several steps, and you must find the flaw in the logic. For every step there is explanation of why the flaw is or is not in that step. This is a great for training our children to spot logical fallacies!
Constructing a Logical Argument
A gentle and very basic overview of logic and argumentation, as well as fallacies, from the ACT Debating Union of New South Wales, Australia.
“Logic is the basis of rationality and a foundation for mathematics, science and technology, particularly for information technologies.” Learn about first-order logic, set theory, combinatory logic, the history of logic, and much more.
Glossary of First Order Logic
“This glossary is limited to basic set theory, basic recursive function theory, two branches of logic (truth-functional propositional logic and first-order predicate logic) and their metatheory.”
Glossary of Logical Terms
From the online Introduction to Logic course offered through the University of Kentucky Extension Department.
Identifying the Argument in an Essay: A Tutorial in Critical Reasoning
This site is from Metropolitan Community College in Omaha, Nebraska. It covers, what is an argument, recognizing argument structure, spotting conclusions and reasons, and concludes with both short practice exercises and an essay-length exercise.
Introduction to Formal Logic: Exercises
From Oxford University; with answers.
Introduction to Logic
This online course is offered through the University of Kentucky Extension Department, and much of the course material is online at their website.
“The treatment of elementary logic here closely follows the structure, content, and nomenclature of Copi and Cohen, Introduction to Logic (10th Ed.) (Upper Saddle River, NJ: Prentice-Hall, 1998). It includes discussion of: Logical Arguments, Language and Logic, Definition and Meaning, Informal Fallacies of Relevance, Presumption, and Ambiguity, Categorical Propositions and Immediate Inferences, Categorical Syllogisms and Their Validity, Evaluating Syllogistic Arguments in Ordinary Language, Modern Logical Symbols expressing Argument Form and Statement Form, Using Rules of Inference and Rules of Replacement to Prove Validity and Invalidity, Quantification Theory, Analogical Argument, Causal Reasoning, Scientific Explanation, and Probability.”
By Colin Allen and Michael Hand of MIT. The entire book is online, and covers truth tables, predicate logic, and more.
The QuizMaster is composed of interactive multiple choice tests, which allow self-testing on topics in formal logic. The user selects a test from a menu of more than fifteen. The tests are generated automatically, allowing the test to be different each time the quizmaster is used. Logic QuizMaster is by Colin Allen and Chris Menzel at the Philosophy Department of Texas A&M University.
By Dr. Michael C. Labossiere, the author of a Macintosh tutorial named Fallacy Tutorial Pro 3.0. Explanations and examples of, it must be, all the fallacies: 42 in all! Easy to understand.
Math Forum Internet Library: Logic
Five pages of anotated links dealing with mostly the logic of mathematics, but also some on formal logic as well. Many logic game and puzzle sites are represented, as well as lesson plan sites for teaching inductive or deductive mathematical logic and inference.
OnLine Logic Book
Study Web: Philosophy: Logic
Study Web’s extensive anotated links concerning the logic branch of philosophy study. The list contains some very good links about the mathematicians and philosophers that have influenced logic as a science, and their works, such as Aristotle, Thomas Aquinas, Hegel, and more.
The Basics of Logic
By Douglas Wilson, orginally appearing in Classis, the newsletter for the Association of Classical and Christian Schools. Douglas Wilson is the author of Introductory Logic.
The Subject of Logic
By Martin Cothran, author of Traditional Logic. This excellent article provides an introduction to the subject and its components. Memoria Press reproduces the article in its entirety at Thinking Logically About Logic.
Trivium Pursuit Online
by Harvey and Laurie Bluedorn.