> On 3 May 2019, at 14:06, Quentin Anciaux <[email protected]> wrote:
> 
> Pleasure for the all loving god to have creatures to torture ?
> 
> But the problem of evil is not that simple.

Indeed.

But note that just the second theorem of Gödel provides a clue.

With provable(p) written []p
consistent(p) = ~provable(~p) = <>p
f = false, t = true
consistent = ~[]f = <>t = consistent(t),

Gödel’s second I. Theorem, put in equivalent version:

<>t -> ~[]<>t

<>t -> <>~<>t
<>t -> <>[]f

It is that last one where the clue is the more apparent:

Said by PA, or ZF, or any sound Löbian machine: it says the following:

If I am consistent, then it is consistent that I am inconsistent

Or

If I am consistent then it is consistent that I will prove a falsity

Peano arithmetic, or ZF, remains consistent when adding the axiom that they are 
(respectively) inconsistent.

Loosely, this says:

If shit does not happen, shit might happen.

This might be part of the shadow explaining the origin of evil ([]f) in the 
internal states realised in arithmetic.

Bruno

PS Exercise; show that Gödel’s theorem (in its modal form) is just Löb’s 
formula with p replaced by false( f).

Solution: Löb’s formula is []([]p -> p) -> []p, 

with p = f, this becomes

[]f([]f -> f) -> []f

Which is, as ~p = (p -> f), obvious by truth table of ~ and ->.

[](~[]f) -> []f

By transposition (using the fact that p -> q is equivalent with ~q -> ~p), we 
get

~[]f -> ~[](~[]f), or,

by using ~[]p = <>~p, and ~f = t, or ~~p -> p.

<>t -> <>([]f)












> 
> Le ven. 3 mai 2019 à 12:46, smitra <[email protected] 
> <mailto:[email protected]>> a écrit :
> What's the point of creating criminals and then to torture those 
> criminals for eternity in hell?
> 
> On 03-05-2019 04:41, Samiya Illias wrote:
> > Considering how vast we have come to realise the Universe to be, do
> > you honestly think our praise or our insults affect God in any way? Do
> > you even realise how great the Creator of all this must be? Do you
> > think God would need any appreciation from us? Rather, it is we who
> > need to appreciate God!
> > 
> > God created the entire creation and He governs it flawlessly according
> > to His Laws. The entire creation submits to His Laws, except some
> > criminals...
> > 
> > The way I understand it, we, humans and snakes, are criminals who have
> > been contained on a planet. Our collective crime is that we abused our
> > free will to go against the Universal Laws. We have an appointment, in
> > the Divine Court, that will be kept as scheduled. We have been given a
> > temporal life so that each one of us can generate evidence (data:
> > speech and deeds) for or against ourselves.
> > 
> > Remembering God through prayer, and Praising God by repeatedly
> > declaring that God is free from all imperfection, helps us to
> > understand and consequently be pleased with God, contented to submit
> > to His Laws and Decrees, and grateful for the guidance, looking
> > forward to an immortal life of luxury and perhaps the most prestigious
> > jobs anyone can ever aspire for: in service of Allah, The One and Only
> > God, The KIng of the Mighty Throne of The Entire Creation!
> > 
> > There is no compulsion to follow God's Laws, but the criminals will
> > not be allowed to leave this planet. They will go from living upon it
> > to living within it, in The Fire!
> > 
> > Related Posts [4]
> > 
> > Samiya Illias
> > Signs & Science [5]
> > 
> > On Thu, May 2, 2019 at 5:00 PM John Clark <[email protected] 
> > <mailto:[email protected]>>
> > wrote:
> > 
> >> On Thu, May 2, 2019 at 1:54 AM 'Brent Meeker'
> >> <[email protected] 
> >> <mailto:[email protected]>> wrote:
> >> 
> >>>> _ _Islam is a religion based almost entirely on threats.
> >> 
> >> True, but in all fairness Christianity is also based on threats. It
> >> preaches that faith (believing in something when there is no good
> >> reason for doing so) is not stupidity but is instead the ultimate
> >> virtue, and if you don't believe in all the crap that Christianity
> >> (or Islam) says then a good and loving God will torture you most
> >> fiendishly not for 10^100 years but for an infinite number of years.
> >> I'm no saint but I wouldn't do that to a unrepentant Hitler, and yet
> >> another thing we're suposed to do is constantly flatter God by
> >> telling Him how good He is.
> >> 
> >> The Meaning of Life: Praise the Lord [1]
> >> 
> >> John K Clark
> >> 
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> > <https://signsandscience.blogspot.com/p/blog-page.html>
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> > <https://signsandscience.blogspot.com/>
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