mfrrchris1984

THOUGHT: The World has recently descended into a fragile state.  ‘The World’ here means the human world, the procedures, institutions, methods, customs, civilities etc. which allow seven billion of us to “get along together”, after a fashion, on this planet...


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13/06/2020

Maths for Renewing Reason – 1

The purpose of this website is to put a body of new thinking and analysis into the public domain. It is an emphasis which can bring reasoning back into mathematics, and not just as a minor item, but as the central core of the discipline. There was, during the 20th […]
01/12/2023

Maths for Renewing Reason – 43

There is a common tendency for computerists to over-estimate the applicability of mathematical modelling to mysterious entities like the universe and the human brain* We know that tally-bundling must have been the natural precursor to arithmetic, and that it (tally bundling) may have been in use for many millennia before […]
02/11/2023

Maths for Renewing Reason – 42

Some Reflections on the Four Colour Conjecture Part 2 The four colour conjecture is a fascinating mathematical problem —because it is extremely easy to understand what it says. So it has a huge watcher-base. Also it is infuriatingly difficult to prove, which is puzzling (if it is a fact, which […]
02/10/2023

Maths for Renewing Reason – 41

Some Reflections on the Four Colour Conjecture Part 1 The four colour conjecture has been allegedly resolved by Appel and Haken and others using “computer proofs” which, however, leave a sense of slight doubt in the mind of cautious critics. After the original computer proof was published in 1976 its […]
01/09/2023

Maths for Renewing Reason – 40

The way to a massive, much needed, renewal of morale in teaching maths can be via a new approach —‘Narrative Maths’ based on the methods of Mathematics Applicable, an idea-before-its-time (a ten-year project) which the present author led from 1969 to 1978 at Reading University. Narrative Maths is a radical […]