Is consciousness causally effective?

On the everything-list there was a question that I have used as the title. Bruno has given a nice answer. I should say that I do not understand it, as my knowledge of mathematical logic is rather limited. John recently has written in this respect:

I am sure you write very smart things. I am not so familiar with the letters
used as abbreviations (wf, DM and more) so I just listen to the music.

In this respect I am close to him. The answer from Bruno is anyway nice:

I will quote just the end:

Is that consciousness *causally* effective? That is the tricky part related to free will. If you accept the definition of free will that I often suggested, then the answer is yes. Causality will have its normal “physical definition”, except that with comp such physicalness is given by an arithmetical quantization (based on the material hypostase defined by Bp & Dp): p physically causes q, iff something like BD(BDp -> BDq). I recall Dp = ~B ~p. But of course, in God eyes, there is only true (and false) number relations. The löbian phenomenon then shows that the consciousness self-speeding up is coupled with the building of the reality that the machine bet on. At that level, it is like if consciousness is the main force, perhaps the only original one, in the physical universe! This needs still more work to make precise enough. There is a complex tradeoff in between the “causally” and the “effective” at play, I think.

I hope this was not too technical. The work of Gödel plays a fundamental role. This explanation is detailed in “Conscience et Mécanisme”, and related more precisely to the inference inductive frame.

To sum up: machine consciousness, in the theory, confers self-speeding up abilities to the machine with respect to the most probable continuation/universal-machine. It is obviously something useful for self-moving creature: to make them able to anticipate and avoid obstacles, which would explain why the self-moving creatures have developed self-reflexive brains, and become Löbian (self-conscious). Note that here the role is attributed to self-consciousness, and not really to consciousness. But you need consciousness to have self-consciousness. Consciousness per se has no role, like in pure contemplation, but once reflected in the Löbian way, it might be the stronger causally effective force operating in the ‘arithmetical truth’, the very origin of the (self) acceleration/force.

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