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Re: [ontolog-forum] Reality and semantics. [Was: Thing and Class]

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Pat Hayes <phayes@xxxxxxx>
Date: Thu, 25 Sep 2008 12:24:30 -0500
Message-id: <D6710885-C925-4D53-9E7E-C36152C78154@xxxxxxx>

On Sep 25, 2008, at 11:11 AM, Pat Hayes wrote:    (01)

> ... There's nothing inherently "non-continuous" about FOL.
> ...    (02)

Well, maybe there is, in a sense. One cannot fully formalize  
continuous mathematics in first-order logic. You have to be able to  
quantify over 'all subsets' in order to define limits properly, and  
that seems to require second-order logic. But, to return to the focus  
of this thread, Tarskian semantics applies to second-order as well as  
it does to first-order languages.    (03)

Pat    (04)

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