- A brief account of the history of logic, from the The Oxford Companion to Philosophy (edited by Ted Honderich), OUP 1997, 497-500.
- A biography of Peter Abelard, published in the Dictionary of Literary Biography Vol. 115, edited by Jeremiah Hackett, Detroit: Gale Publishing, 3-15.
- Philosophy in the Latin Christian West, 750-1050, in A Companion to Philosophy in the Middle Ages, edited by Jorge Gracia and Tim Noone, Blackwell 2003, 32-35.
- Ockham wielding his razor!
- Review of The Beatles Anthology, Chronicle Books 2000 (367pp).
- A brief discussion note about Susan James, Passion and Action: The Emotions in Seventeenth-Century Philosophy.
- Review of St. Thomas Aquinas by Ralph McInerny, University of Notre Dame Press 1982 (172pp). From International Philosophical Quarterly23 (1983), 227-229.
- Review of William Heytesbury on Maxima and Minima by John Longeway, D.Reidel 1984 (x+201pp). From The Philosophical Review 96 (1987), 146-149.
- Review of That Most Subtle Question by D. P. Henry, Manchester University Press 1984 (xviii+337pp). From The Philosophical Review 96 (1987), 149-152.
- Review of Introduction to the Problem of Individuation in the Early Middle Ages by Jorge Gracia, Catholic University of America Press 1984 (303pp). From The Philosophical Review 97 (1988), 564-567.
- Review of Introduction to Medieval Logic by Alexander Broadie, OUP 1987 (vi+150pp). From The Philosophical Review 99 (1990), 299-302.
Tuesday, December 1, 2009
"Introduction to Mathematical Philosophy" by Bertrand Russell,1919
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Mathematics can be shown to be a logical development of certain basic ideas ;
mathematics can be reduced to logic.
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The number of a class is the class of all those classes which are similar to it,.
(Classes are similar when their members can be put into a one-to-one relation with each other.)
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A relation is symmetrical when if one thing has the relation to another,
the other has the same relation to it ;
a relation is transitive when if one thing has the relation to a second,
and the second has the same relation to a third,
the first has the relation to the third.
(Other relations are defined.)
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An infinite cardinal number satisfies the equation,n equals n plus l.
(An infinite collection has parts which have as many terms as the infinite collection itself.)
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By distinguishing between types of entities it is possible to avoid paradoxes which have perplexed philosophers for centuries.
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Mathematical truths are a priori and have nothing to do with facts about the world ;
they are logical tautologies.
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