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The Semantic Abstraction of our Material World…

Computation, Mathematics & Language

“If Computation is a Science of Abstracting[1][1a] [1b] [1c] our Material World – and – Mathematics is the Science of uncovering Patterns[2] in our Material World – and – Linguistics is the Science of Language[3] – and – “The limits of my language mean the limits of my world” – Ludwig Wittgenstein[4] – then – Is Computation, Mathematics and Language – Human Sensemaking[5] [5a]Tools[6] for the Semantic[7] Abstraction[8] of an emergent Material World?”…

“Logic and mathematics are nothing [9] but specialised linguistic structures”…

- Jean Piaget

Footnotes:

[1] Foundations of Computer Science – http://infolab.stanford.edu/~ullman/focs.html – Computer Science: The Mechanisation of Abstraction – http://infolab.stanford.edu/~ullman/focs/ch01.pdf

[1a] How Aristotle Created the Computer – by Chris Dixon – https://a16z.com/2017/08/01/how-aristotle-created-the-computer-atlantic/

[1b] Geometrical Thinking Offers a Window Into Computation – https://www.simonsfoundation.org/2021/04/07/geometrical-thinking-offers-a-window-into-computation/

[1c] Abel Prize celebrates union of mathematics and computer science – The work of winners László Lovász and Avi Wigderson underpins applications from Internet security to the study of networks – https://www.nature.com/articles/d41586-021-00694-9

[2] Mathematics as the Science of Patterns – Mathematics as the Science of Patterns – https://www.maa.org/book/export/html/116188

[3] The Science of Linguistics – https://www.linguisticsociety.org/resource/science-linguistics

[4] Ludwig Wittgenstein – https://plato.stanford.edu/entries/wittgenstein/

[5] Sensemaking, the core skill for the 21st Century… – https://link.medium.com/ePUU5TriOdb

[5a] – Richard Feynman sharing his perspective on the nature of Computer Science at the 6 minute mark – “you are doing it for a human purpose” … -https://m.youtube.com/watch?v=9miKIWIYi4w&feature=youtu.be

[6] New Semantic Computational Tools for Human Sensemaking – Deep Learning Algorithms – https://twitter.com/vincentgoualher/status/1321352369850982401?s=20 – and – Sensing with tools extends somatosensory processing beyond the body – https://www.nature.com/articles/s41586-018-0460-0 – The Mind-Expanding Ideas of Andy Clark – The tools we use to help us think – from language to smartphones – may be part of thought itself – https://www.newyorker.com/magazine/2018/04/02/the-mind-expanding-ideas-of-andy-clark

[7] The Semantic Mind – https://link.medium.com/bDYfYkDiOdb

[8] Sloppy Models, Differential Geometry, and Why Science Works – https://m.facebook.com/santafeinstitute/videos/sloppy-models-differential-geometry-and-why-science-works/775975239729485/ – and – Making sense of raw input -https://www.sciencedirect.com/science/article/pii/S0004370221000722

[9] – What Data Can’t Do – When it comes to people – and policy – numbers are both powerful and perilous – https://www-newyorker-com.cdn.ampproject.org/c/s/www.newyorker.com/magazine/2021/03/29/what-data-cant-do/amp

Mathematics is a semantic language of abstraction for a discrete digital classical Material World

Computation is a semantic language of abstraction for a continuous analog quantum Material World

Both are illustrations of emergence — the evolution of Mental World abstraction in response to the increasing dimensionality of an emergent complex Material World

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