The error in Jan von Platos presentation (Re: Minimal Logics in the 2020's: A Meteoric Rise)

From	Mild Shock <janburse@fastmail.fm>
Newsgroups	sci.math
Subject	The error in Jan von Platos presentation (Re: Minimal Logics in the 2020's: A Meteoric Rise)
Date	2024-07-13 10:33 +0200
Message-ID	<v6te5k$j8a9$3@solani.org> (permalink)
References	<v676ba$6fr5$2@solani.org>

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The sad news is, the book is only
worth some fire wood.

Plato (p. 83 of Elements of Logical Reasoning)

Interestingly the book uses non-classical
logic, since it says:

 > Sequent calculus offers a good possibility for
 > exhaustive proof search in propositional logic:
 > We can check through all the possibilities for
 > malking a derivation. If none of them worked,
 > i.e., if each had at least one branch in which
 > no rule applied and no initial sequent was reached,
 > the given sequent is underivable. The
 > symbol |/-, is used for underivability.

And then it has unprovable:

c. |/- A v ~A

d. |/- ~~A => A

But mostlikely the book has a blind spot, some
serious errors, or totally unfounded claims, since
for example with such a calculus, the unprovability
of Peirce’s Law cannot be shown so easily.

Exhaustive proof search will usually not terminate.
There are some terminating calculi, like Dyckhoffs
LJT, but a naive calculus based on Gentzens take
will not terminate.

Thread

Minimal Logics in the 2020's: A Meteoric Rise Mild Shock <janburse@fastmail.fm> - 2024-07-05 00:05 +0200
  Re: Minimal Logics in the 2020's: A Meteoric Rise sobriquet <dohduhdah@yahoo.com> - 2024-07-05 03:50 +0200
    Re: Minimal Logics in the 2020's: A Meteoric Rise Mild Shock <janburse@fastmail.fm> - 2024-07-05 04:06 +0200
      Re: Minimal Logics in the 2020's: A Meteoric Rise sobriquet <dohduhdah@yahoo.com> - 2024-07-05 05:24 +0200
        Re: Minimal Logics in the 2020's: A Meteoric Rise Mild Shock <janburse@fastmail.fm> - 2024-07-05 06:47 +0200
          Re: Minimal Logics in the 2020's: A Meteoric Rise Mild Shock <janburse@fastmail.fm> - 2024-07-05 06:48 +0200
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  Re: Minimal Logics in the 2020's: A Meteoric Rise Mild Shock <janburse@fastmail.fm> - 2024-07-05 06:49 +0200
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  The error in Jan von Platos presentation (Re: Minimal Logics in the 2020's: A Meteoric Rise) Mild Shock <janburse@fastmail.fm> - 2024-07-13 10:33 +0200
  Re: The error in Jan von Platos presentation (Re: Minimal Logics in the 2020's: A Meteoric Rise) Mild Shock <janburse@fastmail.fm> - 2024-07-13 10:56 +0200
    Re: The error in Jan von Platos presentation (Re: Minimal Logics in the 2020's: A Meteoric Rise) Mild Shock <janburse@fastmail.fm> - 2024-07-14 00:04 +0200
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