Virgil
Posts:
8,833
Registered:
1/6/11


Re: Whatever happened to James Harris? Arturo?
Posted:
Dec 25, 2013 4:56 PM


In article <857bff656d324a77b8ad447efc34f8d6@googlegroups.com>, mueckenh@rz.fhaugsburg.de wrote:
> For more than 100 years the prosperity of many thousands of students depends > on the "logic" of set theorists
At the beginning of that period, a competent mathematician was expected to know a little bit about every speciality of mathematics, and there were no more than one or two mathematical journals in any country.
Since set theory came on the scene, the world of mathematics has grown rapidly and immensely, to the point that, at least in English, every major university and every major field in mathematics has at least one mathematical journal of its own. The world of mathematics is still growing so rapidly that in many areas of specialization it takes a major effort for a mathematician to keep abreast of his or her own field.
In the period just after WWII it was noted that of all the mathematicians who had ever lived roughy 90% ere still alive.
It would seem that the invention of set theory has done nothing at all detrimental to the health of the world of mathematics, but has supported its rapid growth.
So WM can go off and pout about set theory inside his Wolkenmuekenheim, but his views on mathematics are all totally irrelevant outside of that Wolkenmuekenheim. 

