Raúl
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Mathematical axioms for consciousness - 2007/05/31 13:43
I’ve opened this new thread to concretely focus on the ideas proposed by the user Plato Demosthenes in a former thread:
(http://www.conscious-robots.com/en/forums/consciousness-theories/consciousness-models-applied-in-mc/
view.html).
I’ll try to summarize here the main ideas proposed by Plato Demosthenes with my own words (adding my own understanding and clarifications in a way that the author can confirm or correct them). This is actually an exercise to understand the original proposal as I have to admit that I didn’t comprehend it entirely. I have added explicitly numbered questions to those points where I clearly need help to understand the argumentation.
Here we go:
So we have a theoretical universe called Q, where an undetermined number of minds, M, are contained.
QUESTION 1:
Is Q just a set of M elements? Or Q is the union of M plus additional kinds of elements?
QUESTION 2:
You say that any given M receives input from the universe, i.e. Q. What do you mean? Input from other minds exclusively, or from the environment.
Any given M believes that Q is based on a set of axioms {A1, A2, … , An}. That is to say that M has a truth function called T that satisfies T(axioms are the base of Q) = 1 (true).
QUESTION 3:
I can’t understand the word ‘believe’ in this context. I guess it is just the application of the truth function T. However, you say T(M(a.f. is equivalent to Q))=1. Which means that M believes that {A1, A2, …, An} are the axioms that ultimately define Q. But, is there an objective (or epistemological if you want) T function?
QUESTION 4:
When you say M(a.f. is equivalent to Q) = Inverse of T(1). What is the function M? Is it the belief of M, Is it a subjective T function of M?
QUESTION 5:
When you say ‘a.f.’ (abstract formulation), do you refer to the set of axioms? O do you mean the application of axioms to derive some element of Q?
QUESTION 6:
I am stuck here because I don’t see the correspondence of these concepts with consciousness. Where is the mathematical correlate of consciousness in your argumentation?
I Hope you can kindly answer the questions and help clarify your proposal. Thanks.
Raúl Arrabales Moreno. conscious-robots.com/raul |
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