Dear Francesco, thanks for your reply and bookmarking my essay.
If I adobt the view that everything is relative, I am posed with some serious questions:
External reality is an (in)finite net of relationships, facilitating its very absolutely relative structure by dropping or adding some axioms for different deduction schemes. In fact, every distinct deduction scheme could be a certain combination of other deduction schemes, respectively the axioms of those schemes. For 1) being an absolute truth, one must confess that 'everything is possible', since any fundamental *impossibility* would only be *relatively impossible*. So, there are no absolute impossibilities ever existent that could express some non-relative truths. The latter enables a multitude of ex nihilo creations, even for the 'fact' that reality should indeed be absolutely relative - since it cannot be excluded that this 'absolute relativity' was once produced by literally what I call in my essay 'nothing' (no logic, no quantum foam, no imagination, no time and space etc.).
So how can you exclude that your absolute relativity was not spit out of some deeply irrational ex nihilo process? If you can't exclude this, how can you discriminate between your absolute relativity as merely being an 'ex nihilio' creation of your mind instead of an ontologically real ex nihilio creation? Surely, your attempt doesn't exclude anything a prori, but I think this strategy may run into some problems I want to scribble below.
How can you exclude that if such a 'nothing' cannot be excluded that at least the possibility of all existence vanishing again into pure 'nothing' can be excluded? I think on the basis of your considerations you can't exclude even that scenario.
The main question now is whether or not this absolute relativity only resides inside your mind or is an objective fact of external reality. I don't know how your approach does answer this question, but personally I think the mutually exclusive alternatives of either a totally solipsistic world where everything is defined as relative or that of an external reality being existent (forever) must be answered before making any statement about 'fundamentals' - since you can't state that solipsism AND an external reality are equally real (surely you CAN state this, but it does not make any sense to me without further elaborating on what is the relationship between the inner world of the mind and the external world). So, by taking your approach seriously, do you think that this comment was written by something other than a part of your imaginary world? If yes, how can you relativize an external world by your approach, since it is obviously true without doubt that I wrote this comment to you. And if you really believe in solipsism, is your motivation to reply to my comments anything other than self-confirm that you indeed live in a solipsistic world? More seriously, what could enable you to find out that you don't live in a solipsistic world?
Finally, isn't the whole debate about excluding the rule of non-contradiction merely an alternative way to deny that there is an external reality at all that is different from solipsism?