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Differential Logic and Dynamic Systems • Blog Overview
inquiryintoinquiry.com/2023/03

In modeling intelligent systems, whether we are trying to understand a natural system or engineer an artificial system, there has long been a tension or trade-off between dynamic paradigms and symbolic paradigms.

Dynamic models take their cue from physics, using quantitative measures and differential equations to model the evolution of a system’s state through time.

Symbolic models use logical methods to describe systems and their agents in qualitative terms, deriving logical consequences of a system’s description or an agent’s state of information.

Logic-based systems have tended to be static in character, largely because we have lacked a proper logical analogue of differential calculus. The work laid out in this series of posts is intended to address that lack.



Inquiry Into InquiryDifferential Logic and Dynamic Systems • OverviewBy Jon Awbrey
Continued thread

Transformations of Discourse • 3
oeis.org/wiki/Differential_Log

❝The same thing cannot, however, be said about mathematics; for here we have the new method of thought, pure intellect, the very well‑spring of the times, the fons et origo of an unfathomable transformation.❞

— Robert


oeis.orgDifferential Logic and Dynamic Systems • Part 3 - OeisWiki
Continued thread

Transformations of Discourse • 2
oeis.org/wiki/Differential_Log

… ❝for he no more needs to be capable of applying to his own personal soul what is daring and new in the soul of his subject than a machine is in fact capable of applying to itself the differential calculus on which it is based.❞ …

— Robert


oeis.orgDifferential Logic and Dynamic Systems • Part 3 - OeisWiki

Transformations of Discourse • 1
oeis.org/wiki/Differential_Log

❝It is understandable that an engineer should be completely absorbed in his speciality, instead of pouring himself out into the freedom and vastness of the world of thought, even though his machines are being sent off to the ends of the earth;❞ …

— Robert