A Very Mathematical Dilemma

The Boole Lecture A Very Mathematical Dilemma

Mathematics is facing a dilemma at its heart: the nature of mathematical proof. We have known since Church and Turing independently showed that mathematical provability was undecidable that there are theorems whose shortest proofs are enormous. Within the last half-century we have discovered practical examples of such theorems: the classification of all finite simple groups, the Four Colour The...

Commentary: A very Fabian dilemma.

as 'a good man fallen among Fabians', a view well illustrated by the well-known but now seldom read preface to The Doctor's Dilemma. It reveals both the best and foretastes of the worst of that eclectic philosophy, now being applied by a Prime Minister for whom Fabianism provides his only reputable historical reference. The Fabians rejected systems analysis, believing that progress depended chi...

Tumefactive Fibroinflammatory Lesion: A Diagnostic Dilemma

Tumefactive fibroinflammatory lesions (TFLs) are rare idiopathic benign fibrosclerosing lesions that clinically simulate a malignancy. TFLs are seen more frequently in males between 10 and 74 years of age. The usual site of involvement is the head and neck region, but rarely the extremities may be involved. Coexisting fibrosclerotic processes have been reported including retroperitoneal fibrosi...

ÒÉthe very gameÉÓ A Tutorial on Mathematical Modeling

Looking Forward – Looking Backward A Very Simple Mathematical Model for Very Complex Social Systems