Dear Francesco,
i have some further annotations about the antinomy your presented in chapter 6 of your essay and would be happy if you could evaluate my considerations.
The antinomy states that "Every truth is relative". As you outlined in the essay, such truths are relative to other truths. If these other truths wouldn't exist, those truths that refer to them couldn't exist either.
So it seems that if I cut out any truth out of such a system of interdependent relationships, I end up with what Nagarjuna called 'emptiness'.
But you need not invoke a violation of the principle of non-contradiction to make your sentence R true under all circumstances. What it says is that there are relative truths and there are absolute (fundamental) truths. The absolute truths are absolutely true relative to an absolute reference frame, the relative truths are merely true relative to a reference frame that is itself relative. the absolute and the relative realms are relative to each other, without altering their truth values.
The relative truths are possible only by negating the rule of non-contradiction, but nonetheless reside within ordinary logic, since it is logical that by negating the rule of non-contradiction, one can 'prove' or 'disprove' everything. I put the words 'prove' and 'disprove' in quotation marks, since nothing can be proven with a system that does not obey the rule of non-contradiction.
If I have a yard stick of length one meter and a yard-stick of length two meter, the latter is longer than the former. Negating the rule of non-contradiction or reside to some visual illusion does not help. We build our technologies from such differences that are true. Surely, if the meters do not exist anymore, the statement that one yard-stick is longer than the other would be an empty statement. But the statement that one yard-stick was longer than the other would remain true.
If the physical world will end at some point in time in total emptiness, it will remain true that one yard-stick was longer than the other, otherwise one cuts out a relative truth out of the totality of relationships and this totality should colapse like a domino-effect, if this totality is indeed an interdependent net of relationships. Nonetheless cutting out a truth out of this totality, one had to assume that one exactly knows what total emptiness really means. It then would mean some irrational, unfathomable magic, that leaves intact the other relative truths which were once only defined to be true in relation to the truth one has cut out.
I strongly suspect that talking about 'emptiness' as a real ontological possibility is talking about something we really don't know what we are talking about. One cannot know what total emptiness really means exactly, and at the same time pretend to not know what it exactly means (hence, nonetheless labeling it as unfathomable). Either it follows some rules or it doesn't follow some rules. If one pretends that it does both things, one merely pretends that total emptiness isn't totally empty, because it behaves in some way (randomly).
One can only properly define such a total emptiness relative to some existing relationships by merely taking away all these relationships, hence in this case this emptiness wouldn't be anymore an irrational, unfathomable magic, but again relative to the relationships one has eliminated. It would merely be an imagined antipode of existence, an antipode of Descarte's cogito ergo sum.
Nagarjuna's lines of reasonings start with that subjective knowledge of existence (cogito ergo sum) and ends there, because Nagarjuna confused the external world with the internal world - because he concluded from the known (his inner world with its opposite and / or complementary aspects) to the unknown (total emptiness): if he takes away all relationships within himself (in the case of his death), then the fundament of the world must be total emptiness, so he concludes. But as we know, when people die, the world will still exist. So Nargajuna confuses the cogito ergo sum and his own dead (or dead in general).
The moral of all of this is for me that we cannot really know what it means for everything to be 'totally empty', we even cannot know what it means for individuals to be dead. And since we can't know how it is to be dead (since in this state there is no perception anymore), we end up with a contradiction of wanting to know how we should think about existence, relative to total emptiness. About the latter we don't know anything, so we conclude that we also don't know anything about the former. That's Nagarjuna's logic, and it is logical insofar that it is consistent, hence follows some coherent rules. Even the consequences of eliminating the rule of non-contradiction are logical for us, so that at the very end, either 'total emptiness' is magical nihilism, a contradiction that generates a seemingly non-contradictory world, or it is something we don't know what we are talking about. As far as physics and the external world is concerned, I would say that this external world doesn't show any signs of deep contradictory behaviour (even the imagination of purple unicorns cannot alter this), so I would say that Nagarjuna's system of explanations is due to the fact that he simply didn't know why he exists and why he at some point in time had to die. Many people don't know either, but due to common sense, this isn't necessarily a reason for magical nihilism.
I would appreachiate your points of view on that as a philosopher.
Best wishes,
Stefan Weckbach