perm filename OBJECT.ESS[ESS,JMC]1 blob sn#005530 filedate 1971-10-26 generic text, type T, neo UTF8
00100		To what extent is it possible to extend the objectivity
00200	of mathematics to science, engineering and human affairs?
00300	
00400	First: What do we mean by objectivity?  Consider that when someone
00500	makes a mathematical assertion, he is expected to prove it.  The
00600	mathematical literature publishes thousands of pages annually of
00700	new mathematical assertions and their proofs.  Mathematical proof
00800	is an extremely reliable process.  Less than one in a thousand
00900	of published mathematical assertions are later found to be mistaken
01000	or even occasion any controversy.  In popular fields of mathematics
01100	where people check each others work controversy over what has been
01200	proved is almost non-existent.  (There is plenty of controversy 
01300	over what is useful, important, or beautiful in mathematics).
01400	
01500		This objectivity of mathematics has some important useful
01600	consequences.  Namely, anyone who has an idea for improving
01700	mankind's state of mathematical knowledge can write a paper
01800	and submit it to a journal.  The process by which publication