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LINGUISTIX&LOGIK, Tony Marmo's blog
Saturday, 6 November 2004

Topic: GENERAL LOGIC

When does `everything' mean everything?


By Agustin Rayo

At least two different lines of resistance might be deployed against the view that it is possible to quantify over absolutely everything. According to the first, there is no such a thing as an all-inclusive domain. In contrast, the second line of resistance concedes - at least for the sake of argument - that there is such a thing as an all-inclusive domain, but insists that nothing in an agent's thoughts and practices could ever uniquely determine that her domain of quantification is all-inclusive. For whenever it is compatible with an agent's thoughts and practices that his domain of quantification is all-inclusive, it is also compatible with his thoughts and practices that his domain of quantification is less-than-all-inclusive. So the agent could never be said to determinately quantify over absolutely everything. In this paper, I will argue that, when the first line of resistance is set aside, there are reasons for thinking that determinate unrestricted quantification is possible. I will have nothing to say about the first line of resistance.

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Posted by Tony Marmo at 00:01 GMT
Updated: Monday, 1 November 2004 07:28 GMT

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