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Paradoxes Informal Logic Contradiction and Inconsistency Conditionals and Entailment Identity Vagueness Problem of Induction Logic and Ontology Logic and Knowledge Semantics of Logic Truth Definitions

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Science: Math: Logic and Foundations Science: Science in Society: Skeptical Inquiry: Critical Thinking Society: Philosophy: Philosophy of Science: Mathematics

Sites:

Frege's Theorem  - http://plato.stanford.edu/entries/frege-logic/index.html  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.  Logic and Mathematics  - http://www.math.psu.edu/simpson/papers/philmath/  Essay on the nature of logic and its relationship to the philosophy of mathematics, written by Stephen G. Simpson.  Why Aristotelian Logic does not Work  - http://www.abelard.org/category/category.htm  An essay at Abelard.org outlining an argument against Aristotelian syllogistic. The argument focusses upon the relationship between Aristotle's categories and his conception of being, attacking them from an idealist position drawing upon Brouwerian intuitionism and some Zen philosophy.  The Troublesome Paradox  - http://www.yesgoyes.com/  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.  Logic  - http://www.philosophypages.com/lg/  An online textbook by Garth Kemerling, explaining the basic elements of elementary logic at an undergraduate level.  Peirce's Logic  - http://plato.stanford.edu/entries/peirce-logic/  Article in the Stanford Encyclopaedia of Philosophy, by Eric Hammer.  Philosophical Logic  - http://www.dur.ac.uk/~dfl0www/modules/logic/PHILLOG.HTM  Introductory article by E. J. Loewe.  Nordic Journal of Philosophical Logic (NJPL)  - http://www.hf.uio.no/filosofi/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.  Symbolic Logic  - http://www.earlham.edu/~peters/courses/log/loghome.htm  Online resources provided to supplement undergraduate course taught by Peter Suber. Good collection of handouts.  PHILOG  - http://www.philog.ruc.dk/  The Danish Network for Philosophical Logic and its Applications.  Tips on Translating English into First-Order Logic  - http://www.earlham.edu/~peters/courses/log/transtip.htm  An introductory guide by Peter Suber.  The Logic Course  - http://www.thelogiccourse.com/  An interactive course in formal logic, with tutorials and quizzes on critical thinking, truth-tables, and sentential.  Humboldt State University: Argumentation and Critical Thinking Tutorial  - http://www.humboldt.edu/~act/HTML/  Jay VerLinden's resource offering reviews and tests on important concepts in formal logic.