[2] Computability

Computability within machines and within humans

Foundational Questions Institute: Undecidability, Uncomputability, and Unpredictability Essay Contest (2019-2020) Support materials for the submission by Bruce Camber in April, 2020.

Determinant becomes unpredictable, uncomputable, and undecidable (PDF)

[1] Decidability
[2] Computability
[3] Predictability
Transmogrification
[4] Undecidability
[5] Uncomputability
[6] Unpredictability
[7] First units
[8] Grand reductionism
[9] Triangulation
[10] Fourier
[11] Lorentz
[12] Poincaré spheres
[13] Planckspheres
One second: 299,792± km
[14] Automorphic forms
[15] Base-2 and Prime Numbers
[16] Aristotle’s Mistake
[17] Fuzzy Universe
[18] Scholars
Background: The FQXi challenge to engage the study of the concept of “Computability” has been accepted. We begin what we hope will become a rigorous analysis and study. We’ve started with introductory comments and first impressions. This group of eighteen pages will be references to subsequent work.

[2] Computability (Relation). What happens in Notation-1? Is it a demonstration of computability?  How is that different from what happens in Notation-202? The very nature of a computable function shall be investigated further. Do the algorithms of computational logic, like dimensionless constants, necessarily require a machine? Does the mind and consciousness require a brain?

Our theory of computation will logically start within Notation-1 and logically extend through each notation to Notation-202.

A profoundly relational model, everything is connected to everything, everywhere, for all time.