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.  […]

This instalment is a Case Study concerning an unresolved elementary geometric problem which has recently come to light. It is another example of neglect of reasoning in maths. The problem was printed on the cover of the July 2020 issue of the Mathematical Gazette. It showed a triangle /\ ABC […]

In this instalment we continue the line of thinking of No. 9 in relation to the current phase of epidemiological mathematical modelling.  One small positive by-product of the current tragic pandemic has been that it has shown mathematical modelling in a surprisingly  favourable light. Before the pandemic there was a […]