Semantic Languages…

The evolution of Human Sensemaking tools for Abstraction

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

- Jean Piaget

Linguistics[1] are the languages of semiotics[7], meaning[5], qualia[7], context and experience[2].

Local and also International Languages — natural & constructed — that have the capacity to evolve[4] and derive meaning from the ambiguity[4], emergence[4], complexity[3] and uncertainty[3] of both our Mental World and Material World.

Mathematics is a universal language[6] of uncovering Patterns[8] in our Material World.

Patterns[9] enable us to separate the Regular from the Random thereby uncovering the Algorithmic nature of the Material World.

Computation is a suite of global languages — software — and machines — hardwaremechanical, electronic, quantum — that can assist with the abstraction[10] of our Material World.

Classical Computation[10] is anchored in the language of the Symbolic, Algorithmic and Deduction.

Machine & Deep Learning is anchored in the language of Statistics, Patterns, Perception, Geometric[11] and Induction.

Geometric Deep Learning [11b] enables us to uncover Symmetries Ground Truths in relationships – thereby compressing & simplifying Complexity.

Graphs[12a] & Semantics [12b] are anchored in the language of Relationships, Context and Abduction.

Computation enables us to shift our perspective of Reality —from Digital to Analog — from Discrete to Continuous — from Mathematics to Computation[10] — To live is to Flow

Physics is the Universal Language of Symmetries.

SymmetriesInvariants in Mathematics – in our Material World enable us to uncover Ground Truths.

Through relationships – they compress and simplify complexityalgorithmsheuristicsinference & abstraction as forms of reason – and is at the core of Logic.

The breaking of those Symmetries[13b] in our Material World is Emergence .

Logic is the language of Rules of Inference[13] in our Search for Ground Truth[14].

Algorithms and Heuristics that enables us to simplify complexity[15], uncover patterns and achieve a level of certainty and regularity from an emergent complex Material World.

According to US 20th Century Philosopher Charles Sanders Peirce:

“Logic will here be defined as formal semiotic”

– forms of signs & symbols

All our thoughts are in Signs and Inquiry is a form of inference process to make sense of and derive meaning from these signs that exist throughout the World.

“Upon this first, and in one sense this sole, rule of reason, that in order to learn you must desire to learn, and in so desiring not be satisfied with what you already incline to think, there follows one corollary which itself deserves to be inscribed upon every wall of the city of philosophy: Do not block the way of inquiry[16]”…

- Charles Sanders Peirce

In the 21st Century we now have a portfolio of Languages — Linguistics LogicPhysics Mathematics Computation — that can assist with the Semantic Abstraction of an emergent complex Material World.

“The limits of my language mean the limits of my world”…

- Ludwig Wittgenstein

[1] — The key to language is universal psychology, not universal grammar — https://theconversation.com/the-key-to-language-is-universal-psychology-not-universal-grammar-144220

[2] — The blind spot — It’s tempting to think science gives a God’s-eye view of reality. But we forget the place of human experience at our peril — https://aeon-co.cdn.ampproject.org/c/s/aeon.co/amp/essays/the-blind-spot-of-science-is-the-neglect-of-lived-experience

[3] — Economics in Nouns & Verbs — https://arxiv.org/abs/2104.01868v2

[4] — The end of Ambiguity — LogLan — Logical Language — https://podcasts.apple.com/au/podcast/lexicon-valley-no-33-the-end-of-ambiguity/id500673866?i=1000204773588

[5] — Same Action, Different Meaning: Neural substrates of Semantic Goal Representation — 2021.04.18.440307v1

[6] — How natural is numeracy? — Where does our number sense come from? Is it a neural capacity we are born with — or is it a product of our culture… — https://aeon-co.cdn.ampproject.org/c/s/aeon.co/amp/essays/why-do-humans-have-numbers-are-they-cultural-or-innate

[7] — Consciousness and the Philosophy of Signs: How Peircean Semiotics Combines Phenomenal Qualia and Practical Effects — https://ndpr.nd.edu/reviews/consciousness-and-the-philosophy-of-signs-how-peircean-semiotics-combines-phenomenal-qualia-and-practical-effects/

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

[9] — The Power of Patterns — https://richardschutte.medium.com/the-power-of-patterns-e1dc4c2352aa

[10] — 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 — and — How Aristotle Created the Computer — by Chris Dixon — https://a16z.com/2017/08/01/how-aristotle-created-the-computer-atlantic/-and — Geometrical Thinking Offers a Window Into Computation — https://www.simonsfoundation.org/2021/04/07/geometrical-thinking-offers-a-window-into-computation/--and--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

[11] — Geometric Deep Learning — https://geometricdeeplearning.com

[12a] — Exploring complex graphs using three-dimensional quantum walks of correlated photons — eabc5266

[12b] — Peirce’s Theory of Signs — https://plato.stanford.edu/entries/peirce-semiotics/

[13] — Inference, Truth & Validity — https://users.cecs.anu.edu.au/~jks/LogicNotes/inference-truth-and-validity.html

[13b] – https://www.sciencemag.org/news/2020/03/philip-anderson-legendary-theorist-whose-ideas-shaped-modern-physics-dies#:~:text=In%20essence%2C%20the%20symmetry%20of,zero%E2%80%94expels%20a%20magnetic%20field.

[14] — In Search of Ground Truths — https://richardschutte.medium.com/in-search-of-ground-truths-3817ce821572

[15] — The Complexity Void — https://richardschutte.medium.com/unbundling-complexity-503c77f0b261

[16] — Charles Sanders Peirce — Theory of Inquiry — truth-pragmatic..

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