Results 71 to 80 of about 146 (117)

Self-Referential Ignorance (SRI): A Unified Information-Theoretic and Computational Framework for Epistemic Limits in Embedded Systems

We propose Self-Referential Ignorance (SRI), a unified formal framework characterizing irreducible epistemic limits in embedded, self-modeling agents operating within dynamical systems. SRI integrates computability theory, information theory, and complex
Malicse, Angelito
core   +1 more source

The Recursive Universe: A Joint Fixed-Point Framework for Quantum States, Effective Laws, and Quantum Gravity [Working Paper]

This paper develops a consistency-first formulation of the recursive-universe hypothesis. Rather than beginning with a state-dependent unitary and treating stationarity as self-reference, we represent a physical theory by two coupled objects: a quantum ...
Tan, Kwan Hong
core   +2 more sources

A Hyperbolic Sum Rule for Probability: Solving Recursive ("Chicken and Egg") Problems. [PDF]

Entropy (Basel)
Parker MC, Jeynes C, Walker SD.
europepmc   +1 more source

The foundations of computation, physics and mentality: the Turing legacy. [PDF]

Philos Trans A Math Phys Eng Sci, 2012
Cooper SB, Abramsky S.
europepmc   +1 more source

From "More Is Different" to Algorithmic Emergence: Regularity, Compression, and the Limits of Discovery. [PDF]

Entropy (Basel)
Ruffini G, Castaldo F.
europepmc   +1 more source

Two constructive embedding-extension theorems with applications to continuity principles and to Banach-Mazur computability

, 2008
We prove two embedding and extension theorems in the context of the constructive theory of metric spaces. The first states that Cantor space embeds in any inhabited complete separable metric space (CSM) without isolated points, X, in such a way that ...
Alex Simpson, Andrej Bauer
core  

Natural language syntax complies with the free-energy principle. [PDF]

Synthese
Murphy E, Holmes E, Friston K.
europepmc   +1 more source

Amorphous computing: examples, mathematics and theory. [PDF]

Nat Comput, 2013
Stark WR.
europepmc   +1 more source

Structured Dynamics in the Algorithmic Agent. [PDF]

Entropy (Basel)
Ruffini G, Castaldo F, Vohryzek J.
europepmc   +1 more source