Tuesday 17 March 2009

Naming Infinity - maths and spirituality

There is a book that's still hot off the press, called:

Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity

The authors, Graham and Kantor, tell the story of the rise of the famous Russian school of mathematics, and it's intimate relationship with an Orthodox movement (later deemed heretical) called 'name worshipping'.
One of the main interesting features about this work is the way in which it illustrates, by way of historical description, how mathematics and religious spirituality can still, thousands of years after Pythagoras, inform each other in a practically efficient and fruitful way.

Russell said that mathematics is the chief source of the belief in exact and eternal truth. Of course he had a priori, due to his other beliefs, discarded another important source of such belief: religion, or more generally, spirituality. What is the unerlying reason why these two areas of human endeavor keep popping up hand in hand throughout human history? Howcome they are so seemingly different, yet clearly intimately connected? One answer is to explain everything in terms of human brain function and biological evolution. However, these kinds of explanations fall short of explaining the unchangeing characters (Russell used the word 'eternal') of these subjects. This, and other drawbacks of the "all in the mind" theory, is something I will return to in this blog.
Another explanation is given by a model which includes non-empirical and unchangeing objects which constitute the 'forms' of the physical, inherently dynamical and changeing, entities we observe empirically.

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