April 10, 2020

fQXi essay on the Undecidable, Uncomputable, and Unpredictable


It's that time of year again: the fQXi essay contest for 2020 is going strong! Every 12-24 months, fQXi (Foundational Questions Institute) sponsors an essay content on a different topic. The fQXi community [1] then responds to the essay using a ratings and comment system. This year's topic was "Undecidability, Uncomputability, and Unpredictability", a topic not only applicable to physics, but to fields ranging from Computer Science to Sociology and even Biology. Check out the collection of submissions for some incredibly creative takes on the topic.


Myself, along with Orthogonal Research and Education Lab members Jesse Parent (@JesParent on Twitter) and Ankit Gupta (@ankiitgupta7 on Twitter) submitted an essay called "The illusion of structure or insufficiency of approach? the un(3) of unruly problems".

I have also posted several essays from years past as part of a ResearchGate project. These include "Establishing the Phenomenological Conditions of Intention-like Goal-oriented Behavior" from 2016 and "Towards the meta-fundamental: introducing intercontextual invariants" from 2018.

A few weeks after submitting this year's essay, I discovered the work of Nicolas Gisin, who has published a series of papers [2] on alternative forms of mathematics (such as intuitionism) for describing complex systems. While his examples are limited to physics, they are a complement to this year's essay.

NOTES:
[1] for some stimulating internet discussion, check out the Alternative Models of Reality section of the fQXi community.

[2] Gisin, N. (2020). Mathematical languages shape our understanding of time in physics. Nature Physics, 16, 114–116.

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