Socially Responsible Algebra

This page is a sub-page of our page on Social Algebra.

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Related pages:

Norm-Critical Innovation Algebra

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Artifical Ethics
Ethical E-Commerce
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Knowledge Algebra
Business Algebra
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Social Calculus
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Category Theory
The Human Category
Algebraic Thought
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• Systems Modeling
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Political Modeling
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Provocative Modeling
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Learning Modeling
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Matrix Algebra
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Disambiguating plus
Rings of Polynomials

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Other relevant sources of information:

Platform Capitalism by Nick Srnicek
The End Of Capitalism Has Begun, Paul Mason, The Guardian, 15 July 2015.

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The advantage of stable abstractions

The advantage of stable abstractions

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Computational layers of abstraction

Operations and Constraints(3.1)

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A math-knowledge knowlecule:

Each non-empty box in the matrix below corresponds to a mathematical concept
that is named by concatenating the two (bold) terms in the respective row and column:

field ring algebra module
knowledge knowledge algebra
business business algebra
category category algebra
social social algebra
associative associative algebra
clifford clifford algebra
geometric geometric algebra
division division ring division algebra
group group ring group algebra
commutative commutative ring commutative algebra
complete  complete field
free vector space free R-module on S free module
categorical
field ring algebra module

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The same table with the fourth column equal to ‘calculus’ instead of ‘module’:

field ring algebra calculus
knowledge knowledge algebra
business business algebra
category category algebra
social social algebra social calculus
associative associative algebra
clifford clifford algebra clifford calculus
geometric geometric algebra geometric calculus
division division ring division algebra
group group ring group algebra
commutative commutative ring commutative algebra
complete  complete field complete calculus
categorical
field ring algebra calculus

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Structure-Pattern-Graph-Category-Database

Structure-Pattern-Graph-Knowledge-Category-Knowledge

Structure<|-Pattern<|-Graph<|-Hyper<|-Category<|-Functor-Database-Knowledge

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Structure thing link thing  morph path  path
equivalence
Pattern  p-
thing
p-
link
pattern p-
morph
p-
path
p-path
equivalence
Graph  g-
thing
 g-
link
graph g-
morph
g-
path
g-path
equivalence
PowerGraph  pg-thing  pg-link power graph pg-
morph
pg-
path
pg-path
equivalence
HyperGraph  hg-thing  hg-link hypergraph hg-morph hg-
path
hg-path
equivalence
Category c-
thing
c-
link
category c-
morph
c-
path
c-path
equivalence
Functor Category  fc-
thing
 fc-
link
functor  fc-
morph
 fc-
path
fc-path
equivalence
Database
Category
 dc-
thing
 dc-
link
database-schema/instance dc-
morph
 dc-
path
 dc-path
equivalence
Knowledge
Category
 kc-
thing
 kc-
link
knowlecule  kc-
morph
 kc-path kc-path
equivalence

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Functorial mapping between two knowlecules

A powerpoint on computational levels of abstraction (version 3.1)

REMARK: Saving the above powerpoint and opening it on your local computer will give you access to the hyperlinks (to explanations) that it contains.

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Physically and mentally augmented senses

Physically and Mentally Augmented Senses

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Naturally related processes:

Process B is naturally related to process A:
Two naturally related processes

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