Categories
Philosophy

Algorithmic Incompleteness

There may exist fascinating parallels between the recursive nature of advanced AI systems and Gödel’s incompleteness theorems, particularly in the context of self-reference and logical systems. This recursion is a function of the endless reprocessing of cognitive, cultural and technological information in contemporary machine learning pipelines. Gödel’s incompleteness theorems, fundamentally, assert two key points about […]

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Philosophy

On things we can never know…

Context: Gödel’s Incompleteness Theorem, The Inherent Limitation Of Mathematics The discontinuous boundary condition at the edge of (as much as being that around which we built) logic, physics and mathematics is a global property, distributed across and as the complex hypersurface of a self-propagating, soliton-like hybrid matter/energy/information system. It is as though a logical vacuum, […]

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Philosophy

Intractable Uncertainty in Nature and Mind

Context: Paradox at the heart of mathematics makes physics problem unanswerable What happens if we are to assert this reflexive tesseract of indefinitely-extensible symbolic information as abstraction at (and as) the beating heart of autonomously self-propagating, soliton-like logical vacuum and necessity that compels this Universe forwards? What might it mean to engage with uncertainty, incompleteness, […]

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Philosophy

Visualising Reality

There is no “best” theory, there are only progressively “better” ones.

Categories
Philosophy

An Autonomous Science ?

The unfolding patterns, exploratory revelations and emergent complexity of Artificial Intelligence may not ultimately reveal itself to be as useful to us as we (and all our aspirations) turn out to be to it.