Bruno Marchal wrote: > > Le 16-août-06, à 15:28, 1Z a écrit : > > >> >>Bruno Marchal wrote: >> >> >>>Note also I have not yet seen physical theory which does not assume >>>numbers. >> >>Physical theories assume the validity of mathematical statements. >>That doesn't mean the existence of numbers. Everyone agrees that >>numbers can't be empirically detected, so if they don't exist that >>changes >>nothing about the theory. > > > > Of course I was again using "existence" in the mathematical sense. Here > I was just saying that you cannot axiomatize any physical theory (rich > enough to explain if only the appearance of observations) without > accepting the independence of truth like "it exists a number such that > ...".
But the only reason for axiomatizing a physical theory is to see if it has some hidden inconsistency. If the axiomatized theory has some inconsistency, but the theory works (agrees with known data, comports with other theories) this will just be taken as a sign that the axiomatization is wrong and needs to be changed. Of course it is extremely unlikely that it is arithmetic that will be changed simply because it would mean revising so many theories (including common sense ones); but it is not ruled out in principle. Brent Meeker Logic is just a polite way of helping people (including oneself) to realise they have prejudices. -- Bruno Marchal --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to email@example.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list -~----------~----~----~----~------~----~------~--~---