We are still in a Covid-19 pandemic, which is a health crisis of very serious proportions. We are also still stuck in Ulam’s Dilemma, a mathematic credibility crisis of very serious proportions.  There is not much we can do to ameliorate the Covid Crisis, but there is a great deal […]

The nine questions of the 13th part of this blog are, of course, unanswerable. The notion that something described as a ‘transfinite set’ can exist is quite clearly a chimera. Cantor’s Diagonal Argument and its generalised corollary indicate that these totalities necessarily have the potential to grow unpredictably, and therefore […]

The time has come to blow away some cobwebs from the increasingly dusty body of supposedly established mathematical truth. There are a few fully accepted false results, which are there, embarrassingly, because in recent times mathematics has too often been handled in a slightly uncritical way. Consolidation has been neglected […]

This is the twelth essay offered in the cause of this series: increasing the use of reasoning in maths, and also increasing the perceived relevance of thinking in maths to social progress. The original idea was to assist in raising our faith in reasoning to the level of 20-20 vision.  […]