Matches in SemOpenAlex for { <https://semopenalex.org/work/W2144308081> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2144308081 abstract "We identify certain formal algebraic models affording understanding (including positional number systems, conservation laws in physics, and spatial coordinate systems) that have empowered humans when we have augmented ourselves using them. We survey how, by explicit mathematical constructions, such algebraic models can be algorithmically derived for all finite state systems and give examples illustrating this, including coordinates for the rigid symmetries of a regular polygon, and recovery of the decimal expansion and coordinates arising from conserved quantities in physics. By accepting D. Haraway's (1991) 'ironic myth' of the ourselves as cyborgs, one opens the door to empowerment of humans responsible and in control of their hybrid natures as beings augmented by both cognitive and physical tools. Indeed we argue that biological systems share with the subjects of all sciences of the 'artificial' (H. Simon (1969)), an essential quality of contingent, conscious or unconscious design. Coordinate systems derived by algebra or computation for affordance of the understanding and manipulation of physical and conceptual worlds are thus a 'natural' step in use of 'tools' by biological systems as they/we learn to modify selves and identities appropriately and dynamically. The mathematics of constructing formal models for understanding is explained, application to familiar examples and to the Noether-Rhodes theory of conservation laws, and extensions to handling formal relations and analogies between models are discussed." @default.
- W2144308081 created "2016-06-24" @default.
- W2144308081 creator A5048759955 @default.
- W2144308081 date "2002-11-22" @default.
- W2144308081 modified "2023-09-23" @default.
- W2144308081 title "Algebraic models for understanding: coordinate systems and cognitive empowerment" @default.
- W2144308081 cites W126420677 @default.
- W2144308081 cites W1765868291 @default.
- W2144308081 cites W1888150220 @default.
- W2144308081 cites W1966871890 @default.
- W2144308081 cites W1997716917 @default.
- W2144308081 cites W2016703565 @default.
- W2144308081 cites W2017208950 @default.
- W2144308081 cites W2038638040 @default.
- W2144308081 cites W2057268422 @default.
- W2144308081 cites W2060936678 @default.
- W2144308081 cites W2074264774 @default.
- W2144308081 cites W2119777205 @default.
- W2144308081 cites W2261675469 @default.
- W2144308081 doi "https://doi.org/10.1109/ct.1997.617694" @default.
- W2144308081 hasPublicationYear "2002" @default.
- W2144308081 type Work @default.
- W2144308081 sameAs 2144308081 @default.
- W2144308081 citedByCount "7" @default.
- W2144308081 countsByYear W21443080812015 @default.
- W2144308081 crossrefType "proceedings-article" @default.
- W2144308081 hasAuthorship W2144308081A5048759955 @default.
- W2144308081 hasConcept C111472728 @default.
- W2144308081 hasConcept C134306372 @default.
- W2144308081 hasConcept C136119220 @default.
- W2144308081 hasConcept C138885662 @default.
- W2144308081 hasConcept C15744967 @default.
- W2144308081 hasConcept C188147891 @default.
- W2144308081 hasConcept C202444582 @default.
- W2144308081 hasConcept C33923547 @default.
- W2144308081 hasConcept C41008148 @default.
- W2144308081 hasConcept C80444323 @default.
- W2144308081 hasConcept C9376300 @default.
- W2144308081 hasConceptScore W2144308081C111472728 @default.
- W2144308081 hasConceptScore W2144308081C134306372 @default.
- W2144308081 hasConceptScore W2144308081C136119220 @default.
- W2144308081 hasConceptScore W2144308081C138885662 @default.
- W2144308081 hasConceptScore W2144308081C15744967 @default.
- W2144308081 hasConceptScore W2144308081C188147891 @default.
- W2144308081 hasConceptScore W2144308081C202444582 @default.
- W2144308081 hasConceptScore W2144308081C33923547 @default.
- W2144308081 hasConceptScore W2144308081C41008148 @default.
- W2144308081 hasConceptScore W2144308081C80444323 @default.
- W2144308081 hasConceptScore W2144308081C9376300 @default.
- W2144308081 hasLocation W21443080811 @default.
- W2144308081 hasOpenAccess W2144308081 @default.
- W2144308081 hasPrimaryLocation W21443080811 @default.
- W2144308081 hasRelatedWork W1480867406 @default.
- W2144308081 hasRelatedWork W1560110491 @default.
- W2144308081 hasRelatedWork W1905839796 @default.
- W2144308081 hasRelatedWork W1965816768 @default.
- W2144308081 hasRelatedWork W1978572101 @default.
- W2144308081 hasRelatedWork W198041307 @default.
- W2144308081 hasRelatedWork W1982364361 @default.
- W2144308081 hasRelatedWork W2016363421 @default.
- W2144308081 hasRelatedWork W2022338826 @default.
- W2144308081 hasRelatedWork W2022886129 @default.
- W2144308081 hasRelatedWork W2054486804 @default.
- W2144308081 hasRelatedWork W2090687341 @default.
- W2144308081 hasRelatedWork W2094000009 @default.
- W2144308081 hasRelatedWork W2147735227 @default.
- W2144308081 hasRelatedWork W2188392301 @default.
- W2144308081 hasRelatedWork W2264017094 @default.
- W2144308081 hasRelatedWork W2611891981 @default.
- W2144308081 hasRelatedWork W2960236147 @default.
- W2144308081 hasRelatedWork W86124253 @default.
- W2144308081 hasRelatedWork W2298588073 @default.
- W2144308081 isParatext "false" @default.
- W2144308081 isRetracted "false" @default.
- W2144308081 magId "2144308081" @default.
- W2144308081 workType "article" @default.