Bill,

On 23 Mar 2014, at 18:44, Bill Richter <rich...@math.northwestern.edu> wrote:

> 
> The claim (which you may not be making) that Hankin derived FOL from the 
> basic LC axioms (e.g. the HOL axioms) seems to contradict Andrew's link
> http://plato.stanford.edu/entries/type-theory-church/
> which as I posted lists Prop Logic axioms in 
> 1.3.2 Elementary Type Theory
> (1)   [pο ∨ pο] ⊃ pο
> So Andrews didn't derive the proofs of statements (1--6alpha) from the 
> standard LC axioms, but took them as axioms.  

I don't think you are giving Andrews' article a fair reading. Section 1.4 
presents an alternative formulation of simple type theory based only on 
equality (which Andrews attributes to Tarski).

Regards,

Rob.


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