A universal inductive inference machine
Copyright policy )A universal inductive inference machine
AbstractA paradigm of scientific discovery is defined within a first-order logical framework. It is shown that within this paradigm there exists a formal scientist that is Turing computable and universal in the sense that it solves every problem that any scientist can solve. It is also shown that universal scientists exist for no regular logics that extend first-order logic and satisfy the Löwenheim-Skolem condition.
- University of Pennsylvania United States
- Calvin University United States
- Massachusetts Institute of Technology United States
Other classical first-order model theory, Löwenheim-Skolem property, universal scientist, Classical first-order logic, regular logic, Turing computability, detectability, Turing machine, oracle, Other applications of logic, Turing machines and related notions, inductive inference, scientific discovery
Other classical first-order model theory, Löwenheim-Skolem property, universal scientist, Classical first-order logic, regular logic, Turing computability, detectability, Turing machine, oracle, Other applications of logic, Turing machines and related notions, inductive inference, scientific discovery
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).20 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!