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  All Sites - 43 items found, showing 1 to 43

  1. Appetizers and Lessons for Math and Reason - Alan Selby
    Logic Appetizers to test or or improve reading, writing and thinking skills, with definitions, concepts and proofs in many subjects (Chains of Reason; One or Two-Way Implications; Islands & Divisions of Knowledge; Deception); Advice (How to Study ...more>>

  2. Archimedes - Chris Rorres, Drexel University
    A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes ...more>>

  3. Archives Henri Poincaré - Pierre-Edouard Bour and Manuel Rebuschi
    La laboratoire de Philosophie et d'Histoire des Sciences (LPHS) réunit des scientifiques intéressés à l'histoire et à l'épistémologie de leur disciplines et des philosophes et historiens prêts à ...more>>

  4. Arché: Philosophical Research Centre for Logic, Language, Metaphysics, and Epistemology - Crispin Wright, Director; University of St. Andrews, U.K.
    Arché is a new research centre within the School of Philosophical and Anthropological Studies, St Andrews. Its goal is the promotion and publication of research of the highest quality in metaphysics, formal and philosophical logic, philosophy of ...more>>

  5. The Bertrand Russell Editorial Project - McMaster University
    These archives, at McMaster University, house the complete papers of Bertrand Russell (1872-1970), British Philosopher, logician, essayist and renowned peace advocate. His Collected Papers include logical and philosophical works, Toward the "Principles ...more>>

  6. Canadian Society for the History and Philosophy of Mathematics (CSHPM) - Glen Van Brummelen, Secretary-Treasurer
    Promotes research and teaching in the history and philosophy of mathematics. A History and Pedagogy of Mathematics Newsletter is free to members; back issues of the HPM Newsletter are available in WordPerfect format. The CSHPM Bulletin, with announcements, ...more>>

  7. Category Theory - Jean-Pierre Marquis
    An entry in the Stanford Encyclopedia of Philosophy covers category theory's definitions, history, and philosophical significance. Also includes a bibliography. ...more>>

  8. Constructivism and Mathematical Concepts - Pathways to School Improvement
    A discussion of constructivism as it relates to teaching mathematics. A list of reflective questions for teachers and references is included. ...more>>

  9. A Constructivist View of Science Education - University of Massachusetts Physics Education Research Group (UMPERG)
    Four premises of constructivism: knowledge is constructed, not transmitted; prior knowledge impacts the learning process; initial understanding is local, not global; and building useful knowledge structures requires effortful and purposeful activity; ...more>>

  10. A Crash Course in the Mathematics of Infinite Sets - Peter Suber; Philosophy Department, Earlham College
    An introductory guide for philosophers, explaining the use of infinitary set theory. ...more>>

  11. Cybernetics and Systems Theory - F. Heylighen; Principia Cybernetica Web
    General background material on the field of Cybernetics and Systems Science (also: (General) Systems Theory or Systems Research), an academic domain that touches virtually all traditional disciplines, from mathematics, technology, and biology to philosophy ...more>>

  12. Dave's Mathematics, Education, Philosophy and Chreods Server - Dave Wilson
    Searchable math and mathematics education resources: an archive of preservice teachers' essays, the Teaching and Learning Enquiry Group, Chreods, a journal covering math education, and other writings. ...more>>

  13. Ethics in Science - Dept. of Chemistry, Virginia Polytechnic Institute
    A bibliography of publications that pertain to ethics and misconduct in science; Internet-based resources related to ethics and misconduct in science, including hyperlinks to online professional codes of conduct; Selected Essays on Ethics in Science (the ...more>>

  14. Famous Paradoxes - Isaac Reed
    Zeno's Paradox and Cantor's Infinities. ...more>>

  15. Gödel's Incompleteness Theorem - William Denton
    Excerpts/quotes explaining Gödel's Incompleteness Theorem: any logical system contains a true statement that cannot be proven using that system's rules. ...more>>

  16. Gödel's Theorem and Information - Gregory J. Chaitin
    Gödel's theorem may be demonstrated using arguments having an information-theoretic flavor arguing that if a theorem contains more information than a given set of axioms, then it is impossible for the theorem to be derived from the axioms. In contrast ...more>>

  17. Gödel's Theorem - Microsoft Encarta Online
    Gödel's Theorem, also known as the Incompleteness Theorem, two theorems proposed by Austrian-born American logician Kurt Gödel. These theorems state that some parts of mathematics are based on ideas that cannot be proven within the system of ...more>>

  18. Institute for Logic, Language and Computation (ILLC) - University of Amsterdam, The Netherlands
    An institute founded to further the scientific study of the structure, modification, and transmission of information. Currently, the groups participating in ILLC are based at the Faculty of Mathematics, Computer Science, Physics, and Astronomy, the Faculty ...more>>

  19. Islands & Divisions of Knowledge (Pattern Based Reason) - Alan Selby
    Not seeing the difference between one and two-way implications is a common source of confusion in reading, writing and mathematics. One-way implication rules can sometimes be put together to get further implication rules. One and two-way implications ...more>>

  20. James Franklin
    Research activities, books, articles, opinions, and more from the author of What Science Knows and The Science of Conjecture: Evidence and Probability Before Pascal. Franklin researches and teaches about the philosophy of mathematics in the School of ...more>>

  21. John Allen Paulos
    John Allen Paulos is a mathematician and author of the books Mathematics and Humor, I Think, Therefore I Laugh, Innumeracy - Mathematical Illiteracy and Its Consequences, Beyond Numeracy - Ruminations of a Numbers Man, A Mathematician Reads the Newspaper,and ...more>>

  22. John Dewey: Democracy and Education - Institute for Learning Technologies (ILTweb)
    Text of the 1916 book about the philosophy and practice of education. 26 chapters on the Web. ...more>>

  23. Laws of Form - Richard Shoup
    Inspired by the book Laws of Form by George Spencer-Brown, in which the author built a "calculus of distinctions." Read an interpretation of his laws of calling and crossing as a logical arithmetic; see a simple analysis of Spencer-Brown's Counter; learn ...more>>

  24. Laws of Thought - Keith Devlin (Devlin's Angle)
    "What Zeno of Citium actually did was found the Stoic school of logic. Though modern mathematical logic is popularly credited as having its beginnings in the syllogistic logic of Aristotle, most of the fundamental notions of contemporary propositional ...more>>

  25. Math by Proof: What is it, and why should we? - Roger Jones
    Formalised mathematics is distinguished from informal mathematics by three features: machine processable languages with precisely defined semantics in which mathematical propositions are expressed; machine checkable reliable criteria for demonstrating ...more>>

  26. Mathematical Connections - Whittle, Luoma; Dept. of Learning Support, Augusta State University
    "Exploring the Interplay Between Mathematics and the Humanities." A forum for exploring the interplay between mathematics and the humanities, including, but not limited to, the relationship between mathematics and the arts, anthropology, history, literature, ...more>>

  27. Mathematicians and Philosophers: Chalk and Cheese? - Keith Devlin (Devlin's Angle)
    ...mathematicians and philosophers go about their business in very different ways, and on the whole they don't mix. Mathematicians who arguably would benefit from reading works in philosophy rarely do so - books by Daniel Dennett and John Searle excepted ...more>>

  28. MSMS World of Logic - Claudia Carter; Mississippi School for Mathematics and Science (MSMS)
    MSMS Logic and Game Theory is a study of logic, symbolic notation, truth tables, simple game theory, and problem-solving strategies. Links to significant figures in the world of logic: Lewis Carroll, George Boole, Giuseppe Peano, Von Neuman, Willard Van ...more>>

  29. Museum of the History of Science - Oxford University, U.K.
    The Museum houses a collection of historic scientific instruments in the Old Ashmolean on Broad Street, Oxford, covering almost all aspects of the history of science, from antiquity to the early twentieth century. Particular strengths include the collections ...more>>

  30. The n-Category Café - John Baez, David Corfield, and Urs Schreiber
    A blog devoted to "that heady interface between physics, mathematics and philosophy." Read posts, many with MathML, that date back to August, 2006. ...more>>

  31. Observer Mechanics: a Formal Theory of Perception - Bennett, Hoffman, Prakash
    Full book online in pdf format. An inquiry into the subject of perception, the book suggests an approach to the study of perception that attempts to be both rigorous and general. The authors also attempt to introduce a new formalism, including mathematical ...more>>

  32. Of What Does Mathematical Knowledge Consist? - Annie and John Selden; Mathematical Association of America
    Answers to epistemological questions such as "Does mathematical knowledge consist of competencies, or in seeing connections between mathematical concepts and results, or between various representations of a single concept?" Sections include Kinds of Mathematical ...more>>

  33. On Constructivism - Susan Hanley
    "The constructivist approach opens new avenues for learning as well as challenges for the teacher trying to implement it." Hanley outlines problems in traditional teaching methods, describes constructivism as a possible solution, and reviews research ...more>>

  34. Principia Mathematica - A.D.Irvine; Stanford Encyclopedia of Philosophy
    The philosophy encyclopedia's entry on Principia Mathematica, the landmark work on mathematical logic and the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell. Next to Aristotle's Organon, it is the most influential book ...more>>

  35. Radical Constructivism - Alex Riegler, Ed.
    People, organizations, and online papers that deal with radical, epistemological, psychological and educational constructivism and second order cybernetics. Includes general introductions, online books and papers, links, conferences, and a URL submission ...more>>

  36. Sacred Science: Essays on Mathematics, Physics and Spiritual Philosophy - Thomas J. McFarlane
    Essays in philosophy and religion intended to reveal the harmony in mathematical, physical and spiritual knowledge: Quantum Mechanics and Reality; Symmetry in Science and Religion; Science: Physical and Spiritual; Kant and Mathematical Knowledge; The ...more>>

  37. Spinozistic Calculus - Joseph B. Yesselman
    Spinoza's Insights expressed in a Calculus format. ...more>>

  38. Strategy and Conflict: An Introductory Sketch of Game Theory - Roger A. McCain
    Game theory is an interdisciplinary approach to studying human behavior that touches on computer science, social sciences, and behavioral sciences. Designed as a supplement to existing texts as a means of making the basic ideas a bit more accessible, ...more>>

  39. Teaching Logic and Reasoning in an Illogical World - DIMACS Symposium
    A July 1996 symposium: Participants, schedule, list of papers, and the papers themselves in html, ascii, or postscript. Sample papers: S. Maurer: Teaching reasoning, broadly and narrowly; C. Nelan: Student's attitude toward the relationship between language ...more>>

  40. What is Mathematics: Goedel's Theorem and Around - Karlis Podnieks
    An extended translation of Podnieks' book, published in 1992 in Russian. Contents include: Platonism, intuition and the nature of mathematics; Axiomatic set theory; First order arithmetic; Hilbert's Tenth problem; Incompleteness theorems; Around Goedel's ...more>>

  41. What is Mathematics? - Math Forum, Ask Dr. Math Common Question
    A selection of answers to questions about what mathematics is, such as "Is math a science, an art, or some other anomaly?" and "Is there a difference between arithmetic and mathematics, and what is it?" and "Is math a science or an art?" ...more>>

  42. Wireless Philosophy
    Free videos on the practice of philosophy — teaching viewers how to develop critical thinking skills and do philosophy, rather than simply learn what philosophers have thought. See, in particular, Wi Phi's categories of videos on the philosophy ...more>>

  43. Wordplay - John Langdon
    On the application of ambigrams (words as art) in various fields of study. Most ambigrams are based on one form of symmetry or another; most of Langdon's ambigrams exemplify rotational symmetry. ...more>>


 
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