This prompted me to go back and check Andrews'
book "An Introduction to Mathematical Logic and
Type Theory:To Truth Through Proof". In there,
he presents Q_0, which does not have object
language type variables. Variables in the meta
language are used instead. I wonder why he
decided not to use the Q from his thesis ...

Konrad.


On Oct 9, 2008, at 10:03 AM, Tom Melham wrote:

> Rob, Peter:
>
> Peter Andrews' PhD thesis, supervised by Church and published by
> North-Holland in 1965, describes a simple type theory called "Q" that
> definitely includes object-language type variables. In fact Q also  
> includes
> object-language universal quantification over these variables.
>
> Tom
>

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