Le 17-août-06, à 16:41, 1Z a écrit :
> Arithemtical Platonism is the belief that mathematical > structures *exist* independently of you, > not just that they are true independently of you. What is the difference between ""the proposition "it exists a prime number" is true independently of me", and the proposition "it exists a prime number (independently of me)"? I can see a nuance, and that is why I prefer to use the expression " Arithmetical Realism (AR)" (and then I always define what I mean by that) instead of "platonism" (which I prefer to reserve when Plato is actually mentionned, like with the Theatetical definition of knowledge). Of course some people use some other term, and I just try not to bore people with terminological remark. You can take AR negatively as the statement : "arithmetical truth" is not a human construction or convention. It is not even a lobian machine invention, because I need numbers to define what is a digital machine. Perhaps you should focus on the reasoning to see how the expression are used, instead on focusing on terminological issues, if I may suggest. Bruno http://iridia.ulb.ac.be/~marchal/ --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.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 -~----------~----~----~----~------~----~------~--~---
