Tuesday, September 22, 2015

UNIVERSAL ALGEBRA AND OTHER PHILOSOPHY


(The title of this entry refers to the book Treatise on Universal Algebra (1898), by the English mathematician and philosopher Alfred North Whitehead, who is the subject of this entry.)

This entry honors the English mathematician and philosopher Alfred North Whitehead (1861-1947), teacher and collaborator of the great Bertrand Russell on the epic Principia Mathematica. Although his philosophical stature is universally recognized, he was to me a fairly minor philosopher, so that, but for his historic collaboration with his brilliant Cambridge student Russell, he would hardly have been given a place among the entries of this section, or elsewhere. (Obviously I have no distinctive personal experience of him or of his work in my subjective arsenal, to justify a special mention of him, either.)

A. N. Whitehead is one of those lucky figures in history whose fame is larger than their proper significance. There are several reasons for that, including his co-authorship of the supremely influential Principia Mathematica. To be fair, in the division of labor on this momentous project, the work was predominantly done by Russell, particularly, all of its properly philosophical parts, including the brilliant Introduction. It was a testimony to Russell’s own intellectual generosity to divide the resulting credit equally between the two of them, which under the circumstances he did not have to do. But perhaps the biggest reason for Whitehead’s good fortune was that he was himself a good man. As Britannica puts it, Whitehead’s habit of helpfulness made him universally beloved. In its additional general assessment Britannica adds: Whitehead has not had disciples (which is of course consistent with the fact that he was only a minor philosopher, one incapable of attracting notable intellectual disciples) though his admirers have included leaders in every field of thought. (The causes of such admiration lie in his character, rather than in his philosophical power, as we noted earlier...) …His educational and philosophical books have been translated into many languages. His metaphysics has been keenly studied, in the United States most of all. (From 1924 to the end of his life he resided mostly in the United States, teaching at Harvard, and retiring there.) What is now called Whitehead’s “process theology” is, easily, the most influential part of his system… Though his courtesy was perfect, there was nothing soft about him... Never contentious, he was astute, charitable, and quietly stubborn. He had a realistic, well-poised mind, and a fine irony, free of malice. Whitehead combined singular gifts of intuition, intellectual power, and goodness with firmness and wisdom.

In a very peculiar overreach (as it seems to me), Britannica makes the following comment, set in italics, on the start of Whitehead’s career in America:

In the early 1920s Whitehead was clearly the most distinguished philosopher of science writing in English. When a friend of Harvard University the historical scholar Henry Osborn Taylor pledged the money for his salary (rather humiliating to my Russian taste, I confess), Harvard, early in 1924, offered Whitehead a five-year appointment as professor of philosophy. He was sixty-three years old… The idea of teaching philosophy appealed to him, and his wife wholeheartedly concurred in the move. (Not a minor detail… But wait, now comes the clincher!) Harvard soon found out that it had acquired more than a philosopher of science; it had acquired a metaphysician comparable in stature to Leibniz and Hegel. (!!!)

In order to merit such a stupendous distinction, any philosopher must have something to show for it. Frankly, I am at a loss here, and for this reason, I shall return to the very first introductory paragraph of the Britannica article on Whitehead. The same entry author who compared him to Leibniz and Hegel introduces him thus: “English mathematician and philosopher, who collaborated with Bertrand Russell on Principia Mathematica (1910-1913) (we have touched upon this collaboration already, but at any rate, a Leibniz or a Hegel ought not to be primarily introduced through an association or a collaboration!), and from the mid-1920’s taught at Harvard University (Harvard has had many teachers throughout its history, and this distinction by itself is not sufficient for a Leibniz or a Hegel!) and developed a comprehensive metaphysical theory.” Now, this already is something to explore, and so let us do it. The following differently-colored segment is unapologetically appropriated from reference sources. ---

The genesis of Whitehead’s process philosophy may be attributed to his having witnessed the overthrow of Newtonian physics as a result of Einstein’s work; his metaphysical views emerged in his 1920 The Concept of Nature, and expanded in his 1925 Science and the Modern World, also an important study in the history of ideas, and the role of science and mathematics in the rise of Western civilization. Indebted as he was to Bergson’s philosophy of change, Whitehead was also a Platonist who “saw the definite character of events as due to the ingression of timeless entities.” (Encyclopaedia Britannica)… In 1927, Whitehead was asked to give the Gifford Lectures at the University of Edinburgh. These were published in 1929 as Process and Reality, the book that founded process philosophy, a major contribution to Western metaphysics.

Process and Reality is famous for its defense of theism, although Whitehead’s God differs essentially from the revealed God of Abrahamic religion. Whitehead’s Philosophy of Organism originated process theology. Some Christians and Jews find process theology a fruitful way of understanding God and the universe. Just as the entire universe is in constant flow and change, God as the source of the universe is viewed as growing and changing. His rejection of the mind-body dualism is similar to elements in traditions such as Buddhism.

The main tenets of Whitehead’s metaphysic are summarized in his last and most readable work Adventures of Ideas (1933).

In Britannica’s general assessment, Adventures of Ideas offers penetrating, balanced reflections on the parts played by brute forces and by general ideas about humanity, God, and the universe, in shaping the course of Western civilization. Whitehead emphasized the impulse of life toward newness, and the absolute need for societies stable enough to nourish adventure which is fruitful, rather than anarchic. In this book, Whitehead summarized his metaphysics, and used it to elucidate the nature of beauty, truth, art, adventure, and peace. By “peace he meant a religious attitude that is “primarily a trust in the efficacy of beauty.

Aside from him being a good man and admittedly minor collaborator with Russell on Principia Mathematica, I have not been able to get a better feel for Whitehead’s philosophy. The concept of the aesthetical determining the ethical, which I have gleaned from it, is not an original concept by any stretch of imagination. (Although I can perfectly imagine to myself a hideous Quasimodo troll with a heart of gold and a scoundrel Prince Charming.) But any manifestation of goodness ought to be rewarded by at least a grateful honorable mention, and in this sense, Whitehead well deserves to be recommended to the readers of my blog.

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