The first logic seminar of Lent Term will be from 4 to 5.30pm on 
Thursday 21st January in the Graduate Common Room. Alex Paseau (Oxford) 
will speak on "Capturing Consequence". Undergraduates as well as 
graduate students are welcome to attend. Abstract below.

Michael Potter


Capturing Consequence

Consider the simple valid English argument 'Felix is a cat, therefore 
there is a cat'. Its propositional formalisation p \ q is not 
propositionally valid. In contrast, its formalisation in first-order 
logic Fa \ ExFx is first-order valid. This example illustrates an 
apparently well-established moral: first-order formalisations underwrite 
the validity of more natural-language arguments than propositional 
formalisations. Teachers of logic often invoke this moral when 
introducing first-order logic to students who know only propositional 
logic. My talk will show that this moral is false, at least if 
unqualified. As I will explain, there is a precise and important sense 
in which first-order logic does not improve on propositional logic so 
far as respecting natural-language validity is concerned. First-order 
logic captures natural-language validity facts better than propositional 
logic only if formalisations are constrained in some other way.


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