Context: Studying maths beyond GCSEs helps brain development, say scientists Mathematics is a truly wonderful mystery and I only wish that it had been taught as such when I was at school. The concepts are fascinating, mysterious and completely astonishing once a triangulation between the paradoxes of logic, physics and material reality is rendered intelligible. […]
Beauty fascinates me although it is not at a purely aesthetic level or in any visceral approximation to emotional experience and desire with which our culturally-mediated experience of self and subjectivity endows us. Consider that there have been a number of cross-cultural and ethnically-diverse academic studies that demonstrate that the faces which are considered to […]
When we trade in Universals or concepts of substantive reality, we are engaging concepts of notionally “whole” or “complete” systems. The curious thing about any “totality” or aspirationally “complete” system is that there is no outside to that entity, no external conditions or properties. Everything is internal to that system. Why does this matter? Because […]
Our world is complex and yet as a matter of cognition and, beyond the confused and hollow or unthinking tribally-reflexive and adversarial impulse that humanity is prone to express, of intelligence – we are bound to assert or overlay simplicities, mnemonics and shortcuts or cartographies to interpret all of this effervescent noise in useful ways. […]
Beautiful… and the fact that these spiral symmetries are ubiquitous as (a) most energy-efficient method of maintaining adaptive structural complexity is magnificent. There are abstract, logical corollaries of this. Interesting how life possesses similarities to abstract geometric patterns like this – adaptive systems that (soliton-like) autonomously self-propagate by the sustainably continuous information and energy-processing gradient […]
The greatest mystery of mathematics is, to me, that all of these patterns and logical systems appear to almost (and autonomously) seek higher-dimensional self-representations. In category theory or combinatorics we can relatively simply determine and demonstrate the way a set of properties or relationships seeks something of an implicit, intrinsic and endemic higher-dimensional geometry. The […]
The world is so beautiful and perfect in all the glorious randomness and unexpected symmetry or beauty of it’s flow and form. Why is it that the perfection of this world deviates in the way it does from simple linearity to recurse itself into hidden patterns of mathematical complexity that displace this symmetry into opaque […]
Einstein couldn’t quite close the loop on his unified field theory. One reading of a hybrid montage of Algorithmic Information Theory, Kolmogorov Complexity and the (Incompleteness) consequences of logical self-containment in any self-describing system suggests that we may end up with more attractive offices (or desktops) and blackboards but that we, too, will all end […]
What is (perhaps) even more curious than this, the translucent Cheshire Smile of a concept of Self that becomes an artefact around which we find ourselves (!) in endless free-fall and ontological orbit, is that the very difference and distance by and through which we define that self traps us in an intractable enigma. We […]
A problem that I find myself returning to incessantly over the course of extended study and participatory observation in this human life and the diversity of cultural experience we all share is that of misunderstanding. The Philosophers would perhaps identify the problem as being one of Ontological Misunderstanding, of an essential mischaracterisation or ill-informed pattern […]
Context: The Puzzling Search for Perfect Randomness I can never resist a good speculative and completely “out there” waffle. Randomness is non-trivially significant in cryptography. The closer the approximation of a numerical sequence or the properties of an abstract geometrical object to randomness, the more difficult the encryption seed derived from it is to crack. […]
Context: Truth Beyond Logic and Time Beyond Clocks: Janna Levin on the Vienna Circle and How Mathematician Kurt Gödel Shaped the Modern Mind Gödel is interesting in many ways. While acknowledging that his logical and mathematical foundation-shaking Incompleteness proofs have a very specific context and meaning, the extent to which a broader reading (and thinking) […]
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