[Iris-Club] Excluded middle leads to inconsistency
dreyer at mpi-sws.org
Wed May 3 10:50:23 CEST 2017
This is why I said in my original mail that I'm not sure how my proof
plays out in the absence of box.
On Wed, May 3, 2017 at 10:47 AM, Derek Dreyer <dreyer at mpi-sws.org> wrote:
> You could replace the True at the beginning with emp.
> On Wed, May 3, 2017 at 10:47 AM, Derek Dreyer <dreyer at mpi-sws.org> wrote:
>> Yes. This is exactly why I put the Box there.
>> Where did I use True |- Box(True)?
>> On Wed, May 3, 2017 at 10:44 AM, Aleš Bizjak <abizjak at cs.au.dk> wrote:
>>> On 03 May 2017, at 10:41:30, Ralf Jung wrote:
>>>> Actually I thought "not P := P -> False", no box involved.
>>> Isn't Derek's P defined as P(x) = □(x ↦ 0 ∨ ¬(x ↦ 0)) = □(x ↦ 0) ∨ □(¬ x ↦ 0)?
>>> -- Aleš
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