Category Archives: Euclid

The Tradition of Western Philosophy

September 10, 2013 – 1:41 pm

Note added October 16, 2018: Here I compare two projects of re-examining the philosophical tradition named in my title. The projects are those of

  • R. G. Collingwood in An Essay on Philosophical Method (Oxford, 1933);

  • Stringfellow Barr and Scott Buchanan at St John’s College in Annapolis, Maryland, beginning in 1937.

I review

  • how I ended up as a student at St John’s;

  • how Collingwood has been read (or not read) by myself and others, notably Simon Blackburn;

  • how Collingwood’s Essay is based on the hypothesis of the “overlap of classes.”

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By David Pierce | Also posted in absolute presuppositions, Collingwood, Descartes, dialectic, Education, History, Logic, Mathematics, overlap of classes, Philosophy, Philosophy of History, Pirsig, Plato, Principles of Art, Science, T. S. Eliot | Tagged , , , , , , , , , , , , , , , | Comments (11)

Psychology

August 28, 2013 – 9:40 am

Preface (January 17–18, 2019). This essay is built around two extended quotations from Collingwood:

  1. From the posthumous Idea of History (1946) with the core idea, “people do not know what they are doing until they have done it.”
  2. From An Essay on Philosophical Method (1933), about how logic is neither a purely descriptive nor a purely normative science.

The quotations pertain to the title subject of psychology for the following reasons.

  1. Psychological experiments show that we may not know what we are doing until we have done it.
  2. Psychology is a descriptive science.

Psychological experiments can tell us about what we do, only when we presuppose the general applicability of their findings. This is true for any descriptive science. Philosophy demands more. A philosophical science like logic is categorical, in the sense of the second listed quotation, because it is what Collingwood will later call criteriological. I go on to discuss criteriological sciences as such in “A New Kind of Science,” but not here.

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By David Pierce | Also posted in Categorical Thinking, Collingwood, Criteriological Science, Galileo, Logic, Ontological Proof, Philosophy, Principles of Art, Psychology, Science | Tagged , , , , , , | Comments (11)

Learning mathematics

May 14, 2013 – 11:23 am

This is mostly reminiscences about high school. I also give some opinions about how mathematics ought to be learned. The post originally formed one piece with my last article, “Limits.”

I learned calculus, and the epsilon-delta definition of limit, in Washington D.C., in my last two years at St Albans School, in a course taught by a peculiar fellow named Donald J. Brown. The first of these two years was officially called Precalculus Honors, but some time in that year, we started in on calculus proper.

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By David Pierce | Also posted in Archimedes, Calculus, Education, G. H. Hardy, Logic, Mathematics, Philosophy of Mathematics, Strunk and White | Tagged , , , , , , , , , , , | Comments (5)