On 3/15/2013 7:27 PM, fom wrote: > On 3/15/2013 6:28 PM, david petry wrote: >> On Friday, March 15, 2013 6:18:08 AM UTC-7, Jesse F. Hughes wrote: >> >>> I assumed that this relationship between "falsifiability" and >>> mathematics allowed one to distinguish non-mathematical claims from >>> mathematical claims. If not, what role does falsifiability play? In >>> science, it distinguishes scientific hypotheses from non-scientific. >> >> Yes, exactly, I'm suggesting it would be reasonable to have >> falsifiability play the same role in mathematics that it plays > > in science. Why do I need to keep repeating that for you? >> > > For all of us. > > One problem is that you have not expressed > that in a way which is applicable to the > context of performing mathematics -- of > actually making assertions involving > mathematical entities such as numbers > and proving the assertions made. > > That is, in part, what Jesse is asking > of you. And, he is asking that you explain > to the point where he can implement it > on a particular problem on his own.
And, by the way, Jesse is very good at this kind of thing.
He helped me sort out a thing or two when he correctly identified something I was reading into a passage on definitions from Aristotle.
He is asking you how one is to approach mathematical questions if his assumption,
"Because, I always assumed that if any particular statement counts as 'mathematical', then so does its negation."
Or, if your intended correction to mathematical practice resolves that issue some other way, then it must include a theory of negation powerful enough to discriminate between
Your claims concerning to falsifiability pertain to the use of negation and he has identified a possible starting point from which you may explain yourself more clearly.
Of course, he could be asking much more of you. I should not be speaking for him. But, you seem frustrated and I thought some interpretation of context could help. I hope it is not too mangled.