Philosophical logic is the application of formal logical techniques to problems that concern philosophers. It should be contrasted with mathematical logic, which might be characterized as the application of formal logical techniques to problems that concern mathematicians. However, since the problems that concern philosophers and the problems that concern mathematicians sometimes overlap, philosophical and mathematical logic sometimes overlap as well.
Philosophical logic is often confused with philosophy of logic, the field of philosophy that is concerned with the nature and justification of formal logical systems.
Not all philosophical logic, however, applies formal logical techniques. A good amount of it (including Grayling's and McGinn's books cited below) is written in natural language. One definition, popular in Britain, is that philosophical logic is the attempt to solve general philosophical problems that arise when we use or think about formal logic: problems about existence, necessity, analyticity, a prioricity, propositions, identity, predication, truth. Philosophy of logic, on the other hand, would tackle metaphysical and epistemological problems about entailment, validity, and proof.
More on [ Philosophical logic ]
Logic and Foundations :: Math
Critical Thinking :: Skeptical Inquiry
Mathematics :: Philosophy of Science

Frege's Theorem - Article in the Stanford Encylcopaedia of Philosophy, entitled `Frege's Logic, Theorem, and Foundations for Arithmetic'. Discusses the 1980 discovery of Crispin Wright that Frege's work of the Grundgesetze can be carried out in second-order logic with Hume's principle.
Humboldt State University: Argumentation and Critical Thinking Tutorial - Jay VerLinden's resource offering reviews and tests on important concepts in formal logic.
Logic - An online textbook by Garth Kemerling, explaining the basic elements of elementary logic at an undergraduate level.
Meta Description: [ An explanation of the basic elements of elementary logic. ]
Logic and Mathematics - Essay on the nature of logic and its relationship to the philosophy of mathematics, written by Stephen G. Simpson.
Meta Description: [ Logic and Mathematics ]
Nordic Journal of Philosophical Logic (NJPL) - Edited at Dep. of Philosophy, Univ. of Oslo, published by Scandinavian U.P. in hard copy and on WWW. Full-text Web edition free for personal use.
Meta Description: [ Nordic Journal of Philosophical
Logic. Ed. at Dep. of Philosophy, Univ. of Oslo, published by
Taylor & Francis in hard copy and on WWW. Full-text Web edition free
for personal use. ]
Peirce's Logic - Article in the Stanford Encyclopaedia of Philosophy, by Eric Hammer.
PHILOG - The Danish Network for Philosophical Logic and its Applications.
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Philosophical Logic - Introductory article by E. J. Loewe.
Symbolic Logic - Online resources provided to supplement undergraduate course taught by Peter Suber. Good collection of handouts.
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The Logic Course - An interactive course in formal logic, with tutorials and quizzes on critical thinking, truth-tables, and sentential.
Meta Description: [ The Logic Course - The place for online logic and critical thinking, with text material, exercises, quizzes, tutorials and help. ]
The Troublesome Paradox - Online version of book seeking publication by Per Lundgren. Author attempts to argue that a consequence of Goedel's incompleteness theorem is that we should overturn our current approach to scientific method.
Meta Description: [ Das hier ist wirklich die Seite wo gefickt und gerammelt wird bis der Arzt kommt. Wir sagen: Yes! Go ficken! - Seite 1 ]
Tips on Translating English into First-Order Logic - An introductory guide by Peter Suber.
Why Aristotelian Logic does not Work - An essay at Abelard.org outlining an argument against Aristotelian syllogistic.
Meta Description: [ Analysis of fundamental errors in the Aristotelian paradigm called category logic. The first in a series of documents showing how to reason clearly, and so to function more effectively in society. ]
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