david petry wrote: > Is there any reason to be skeptical about modern mathematics? Is it > possible that modern mathematics is culturally biased? Is it possible > that there is an element of fraud in modern mathematics? Has > mathematics become clever argumentation with no concrete content? > > I'm like the reader to consider the possibility that the answer to all > those questions is yes. > > First of all, it would be absurd to say that the modern academic system > based on peer review would preclude fraud and cultural bias. The "Sokal > Affair" seems to have proven that when academic writing becomes > indistinguishable to the non-expert from buzzword salad, then it's > likely that even experts can be fooled. (see > http://en.wikipedia.org/wiki/Sokal_Affair) Even physicists can be > fooled (see http://math.ucr.edu/home/baez/bogdanoff/ ) >
The question of whether an argument goes through in a particular formal system is an objective matter which qualified people will come to agree on. There is no reason to think that any fraud is going on in the process of peer review. If you don't like a particular formal system, you are welcome to raise philosophical objections to it. If you think that a result that has been accepted as provable in a particular formal system is in fact not provable in this formal system, you are welcome to point out the flaw in the argument. Unsubstantiated accusations of fraud are ridiculous.