Jesse Mazer skrev: > > > > Date: Tue, 9 Jun 2009 18:38:23 +0200 > > From: tor...@dsv.su.se > > To: everything-list@googlegroups.com > > Subject: Re: The seven step-Mathematical preliminaries > > > > For you to be able to use the word "all", you must define the "domain" > > of that word. If you do not define the domain, then it will be > > impossible for me and all other humans to understand what you are > > talking about. > > OK, so how do you say I should define this type of "universe"? Unless > you are demanding that I actually give you a list which spells out > every symbol-string that qualifies as a member, can't I simply provide > an abstract *rule* that would allow someone to determine in principle > if a particular symbol-string they are given qualifies? Or do you have > a third alternative besides spelling out every member or giving an > abstract rule?
You have to spell out every member. Because in a *rule* you are (implicitely) using this type of "universe", and you will then get a circular definition. When you say that *every* number have a successor, you are presupposing that you already know what *every* means. -- Torgny Tholerus --~--~---------~--~----~------------~-------~--~----~ 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 everything-list+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---
