Categories
mathematics

Why is Mathematics Difficult?

A curious revelation of logic, mathematics and physics is that the concepts themselves are never really all that difficult and can usually be quite rapidly grasped if the method of education is sufficiently powerful. The difficulty lies in acquiring an aptitude to intuitively understand and leverage the relationships between the symbols that are used to […]

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culture

The Professionals

Witness the arrival, if perhaps nothing new, of insular communities of professionals that are each and all existentially oriented towards the replication and self-validation that tribal membership provides. The self-replicating and self-validating patterns and symmetries as games of practice and behavioural grammar become both the symbol of membership to a specific group and the self-conscious […]

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Philosophy

The Mystery of Mathematics

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. […]

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culture

Bonfire of the Humanities

It is an irony worth considering that institutionally reductive aspirations to slash-and-burn streamlining of educational curriculum align to ideological and economic worldviews which themselves are unacknowledged – if often misguided – products of a diversity and intellectual depth in human civilisation that they would unwittingly or boorishly inhibit. Short term benefits are all the rage […]

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technology

On Training Minds and Machines to be Flexible

One thing humans do share with the machine intelligence we are so enthusiastically refining is a conspicuous (or at least institutionalised) absence of aptitude when it comes to smoothly and efficiently negotiating unexpected events and volatile environments. The benefits of integrated logistical automation are clear but when it comes to training the machine intelligence that […]

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culture

A Liquid Logic and System of History

My problem is, and pretty much always has been, just how to introduce, articulate and successfully communicate new concepts of representation and comprehension when the paradigm and assumptive frameworks of conventional wisdom fight tooth and nail against novelty or deep (i.e. axiomatic) conceptual, methodological and theoretical innovation ?