
Re: Mathematics and the Roots of Postmodern Thought
Posted:
Apr 1, 2013 11:52 AM


On Apr 1, 6:34 pm, Frederick Williams <freddywilli...@btinternet.com> wrote: > Dan wrote: > > While we can use thought experiments to reason about the physical > > world, my point is that mathematics is 'the domain of thought' , and > > as such , the only kind of experiment you can have in mathematics is a > > 'thought experiment' . Falsifiability in mathematics is a category > > error . > > What about Lakatos's Proofs and Refutations? > >  > When a true genius appears in the world, you may know him by > this sign, that the dunces are all in confederacy against him. > Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
Nice point .Even as we may use, and encourage such games in developing mathematics , the final result is true, ergo free from falsifiability, ergo , correct. Physical theories, as we know them , have no 'endgame' where they become "true" , nonfalsifiable . "No amount of experimentation can ever prove me right; a single experiment can prove me wrong."  Albert Einstein

