Re: The seven step-Mathematical preliminaries 2

From: m.a. <marty684.domain.name.hidden>
Date: Sun, 7 Jun 2009 11:22:34 -0400

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" <meekerdb.domain.name.hidden>
To: <everything-list.domain.name.hidden>
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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Received on Sun Jun 07 2009 - 11:22:34 PDT

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