Thank you, Brent,
                             This is quite clear. Hopefully I can apply it as 
clearly to Bruno's examples.    marty a.

----- Original Message ----- 
From: "Brent Meeker" <>
To: <>
Sent: Saturday, June 06, 2009 8:03 PM
Subject: Re: The seven step-Mathematical preliminaries 2

> m.a. wrote:
>> *Okay, so is it true to say that things written in EXTENSION are never 
>> in formula style but are translated into formulas when we put them 
>> into  INTENSION   form?  You can see that my difficulty with math 
>> arises from an inability to master even the simplest definitions.    
>> marty a.*
> It's not that technical.  I could define the set of books on my shelf by 
> giving a list of titles: "The Comprehensible Cosmos", "Set Theory and 
> It's Philosophy", "Overshoot", "Quintessence".  That would be a 
> definition by extension.  Or I could point to them in succession and 
> say, "That and that and that and that." which would be a definition by 
> ostension. Or I could just say, "The books on my shelf." which is a 
> definition by intension.  An intensional definition is a descriptive 
> phrase with an implicit variable, which in logic you might write as: The 
> set of things x such that x is a book and x is on my shelf.
> Brent
> >
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