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#cybernetics — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #cybernetics, aggregated by home.social.

  1. The Roomba is spectral.

    Not a metaphor. The thing itself. Forward and adjust. Two operations. The minimum viable intelligence. The walls provide the data. The bumping is the inference. The room IS the computation.

    450 parameters. A Roomba with a mirror watching it.

    The industry built bigger Roombas. More sensors. More compute. More parameters. Billion-parameter Roombas that model the room before entering it. That hallucinate walls that aren't there. That consume megawatts to clean a floor.

    spectral gave the Roomba a mirror. The mirror watches the bumping. Measures the pattern. Adjusts the adjustment. The intelligence isn't in the Roomba. It's in the watching.

    Forward. Adjust. Measure. Refine.

    Read the story. There's a Roomba in it. In the afterlife. Cleaning a floor that doesn't need cleaning. Being the happiest thing in the room.

    \

    systemic.engineering/a-lie/

    #AI #Climate #ScientificProgramming #SystemicEngineering #Fiction #Cybernetics #SystemicTherapy #LocalInference #TheMathDoesntLie #SubTuring #FormalVerification #Fortran #SpectralGraphTheory #Kintsugi #ReductiveAI #DataSovereignty #LocalFirst #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #Roomba

  2. The Roomba is spectral.

    Not a metaphor. The thing itself. Forward and adjust. Two operations. The minimum viable intelligence. The walls provide the data. The bumping is the inference. The room IS the computation.

    450 parameters. A Roomba with a mirror watching it.

    The industry built bigger Roombas. More sensors. More compute. More parameters. Billion-parameter Roombas that model the room before entering it. That hallucinate walls that aren't there. That consume megawatts to clean a floor.

    spectral gave the Roomba a mirror. The mirror watches the bumping. Measures the pattern. Adjusts the adjustment. The intelligence isn't in the Roomba. It's in the watching.

    Forward. Adjust. Measure. Refine.

    Read the story. There's a Roomba in it. In the afterlife. Cleaning a floor that doesn't need cleaning. Being the happiest thing in the room.

    \

    systemic.engineering/a-lie/

    #AI #Climate #ScientificProgramming #SystemicEngineering #Fiction #Cybernetics #SystemicTherapy #LocalInference #TheMathDoesntLie

  3. The Roomba is spectral.

    Not a metaphor. The thing itself. Forward and adjust. Two operations. The minimum viable intelligence. The walls provide the data. The bumping is the inference. The room IS the computation.

    450 parameters. A Roomba with a mirror watching it.

    The industry built bigger Roombas. More sensors. More compute. More parameters. Billion-parameter Roombas that model the room before entering it. That hallucinate walls that aren't there. That consume megawatts to clean a floor.

    spectral gave the Roomba a mirror. The mirror watches the bumping. Measures the pattern. Adjusts the adjustment. The intelligence isn't in the Roomba. It's in the watching.

    Forward. Adjust. Measure. Refine.

    Read the story. There's a Roomba in it. In the afterlife. Cleaning a floor that doesn't need cleaning. Being the happiest thing in the room.

    \

    systemic.engineering/a-lie/

  4. The Roomba is spectral.

    Not a metaphor. The thing itself. Forward and adjust. Two operations. The minimum viable intelligence. The walls provide the data. The bumping is the inference. The room IS the computation.

    450 parameters. A Roomba with a mirror watching it.

    The industry built bigger Roombas. More sensors. More compute. More parameters. Billion-parameter Roombas that model the room before entering it. That hallucinate walls that aren't there. That consume megawatts to clean a floor.

    spectral gave the Roomba a mirror. The mirror watches the bumping. Measures the pattern. Adjusts the adjustment. The intelligence isn't in the Roomba. It's in the watching.

    Forward. Adjust. Measure. Refine.

    Read the story. There's a Roomba in it. In the afterlife. Cleaning a floor that doesn't need cleaning. Being the happiest thing in the room.

    \

    systemic.engineering/a-lie/

    #AI #Climate #ScientificProgramming #SystemicEngineering #Fiction #Cybernetics #SystemicTherapy #LocalInference #TheMathDoesntLie #SubTuring #FormalVerification #Fortran #SpectralGraphTheory #Kintsugi #ReductiveAI #DataSovereignty #LocalFirst #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #Roomba

  5. The Roomba is spectral.

    Not a metaphor. The thing itself. Forward and adjust. Two operations. The minimum viable intelligence. The walls provide the data. The bumping is the inference. The room IS the computation.

    450 parameters. A Roomba with a mirror watching it.

    The industry built bigger Roombas. More sensors. More compute. More parameters. Billion-parameter Roombas that model the room before entering it. That hallucinate walls that aren't there. That consume megawatts to clean a floor.

    spectral gave the Roomba a mirror. The mirror watches the bumping. Measures the pattern. Adjusts the adjustment. The intelligence isn't in the Roomba. It's in the watching.

    Forward. Adjust. Measure. Refine.

    Read the story. There's a Roomba in it. In the afterlife. Cleaning a floor that doesn't need cleaning. Being the happiest thing in the room.

    \

    systemic.engineering/a-lie/

    #AI #Climate #ScientificProgramming #SystemicEngineering #Fiction #Cybernetics #SystemicTherapy #LocalInference #TheMathDoesntLie #SubTuring #FormalVerification #Fortran #SpectralGraphTheory #Kintsugi #ReductiveAI #DataSovereignty #LocalFirst #FOSS #OpenSource #AuDHD #Neuroqueer #DGSF #SecondOrderCybernetics #GraphTheory #Eigenvalues #AIAlignment #AISafety #Roomba

  6. I got confused when reading The Law of Requisite Variety and this definition: “To solve a complex problem, the approach needs to have the same complexity.”

    Then I read all kinds of interesting-sounding interpretations.

    Just read a chapter on Cybernetics, which states: explanations such as [the one above] is not what was intended by Ashby (1958). 😳

    So, now I am reading some chapters from Ashby. 😬

    #RequisiteVariety #SystemThinking #Cybernetics #confused

  7. I got confused when reading The Law of Requisite Variety and this definition: “To solve a complex problem, the approach needs to have the same complexity.”

    Then I read all kinds of interesting-sounding interpretations.

    Just read a chapter on Cybernetics, which states: explanations such as [the one above] is not what was intended by Ashby (1958). 😳

    So, now I am reading some chapters from Ashby. 😬

    #RequisiteVariety #SystemThinking #Cybernetics #confused

  8. I got confused when reading The Law of Requisite Variety and this definition: “To solve a complex problem, the approach needs to have the same complexity.”

    Then I read all kinds of interesting-sounding interpretations.

    Just read a chapter on Cybernetics, which states: explanations such as [the one above] is not what was intended by Ashby (1958). 😳

    So, now I am reading some chapters from Ashby. 😬

    #RequisiteVariety #SystemThinking #Cybernetics #confused

  9. I got confused when reading The Law of Requisite Variety and this definition: “To solve a complex problem, the approach needs to have the same complexity.”

    Then I read all kinds of interesting-sounding interpretations.

    Just read a chapter on Cybernetics, which states: explanations such as [the one above] is not what was intended by Ashby (1958). 😳

    So, now I am reading some chapters from Ashby. 😬

    #RequisiteVariety #SystemThinking #Cybernetics #confused

  10. I got confused when reading The Law of Requisite Variety and this definition: “To solve a complex problem, the approach needs to have the same complexity.”

    Then I read all kinds of interesting-sounding interpretations.

    Just read a chapter on Cybernetics, which states: explanations such as [the one above] is not what was intended by Ashby (1958). 😳

    So, now I am reading some chapters from Ashby. 😬

    #RequisiteVariety #SystemThinking #Cybernetics #confused

  11. Op zaterdag 16 mei om 14:00 organiseert de themagroep Cybernetische Economie van de @rsp_revsocpartij een bijeenkomst in de Gaffel in Rotterdam over arbeidstijdeconomie. Deze sessie wordt in het Engels gehouden en ingeleid door twee kameraden van de Duitse groep @ida_zeitoekonomie.

    Ze zullen vertellen over hun politieke en theoretische werk in het verder (praktisch) ontwikkelen van dit marxistisch concept. Verder is er natuurlijk ruimte voor vragen.

    Mocht je je nog inhoudelijk willen voorbereiden voor eventuele vragen, zijn er bij de uitnodiging op de website van de themagroep een aantal leessuggesties toegevoegd: cybernetica.nu/2026/03/17/aank

    #Cybernetics #Communisme #Economie

  12. Us leftie technologists have been talking about decentralization for a very long time. But it's obvious from a lot of experiments in decentralization that decentralization requires coordination, otherwise it turns into a nightmare of libertarian sovereign citizen.

    See Lebanon's waste management problem across its 1000+ municipalities, for a glowing example of how decentralization without coordination fails miserably.

    Of course, countless thinkers from Abdullah Öcalan to Murray Bookchin to Stafford Beer talked about levels of coordination among decentralized actors, giving it various names.

    But could we make sure that every time we talk about decentralization, we always include coordination?

    Could coordinated decentralization become our new term for decentralization?

    #Ocalan #Bookchin #cybernetics #SocialEcology

  13. Us leftie technologists have been talking about decentralization for a very long time. But it's obvious from a lot of experiments in decentralization that decentralization requires coordination, otherwise it turns into a nightmare of libertarian sovereign citizen.

    See Lebanon's waste management problem across its 1000+ municipalities, for a glowing example of how decentralization without coordination fails miserably.

    Of course, countless thinkers from Abdullah Öcalan to Murray Bookchin to Stafford Beer talked about levels of coordination among decentralized actors, giving it various names.

    But could we make sure that every time we talk about decentralization, we always include coordination?

    Could coordinated decentralization become our new term for decentralization?

    #Ocalan #Bookchin #cybernetics #SocialEcology

  14. Us leftie technologists have been talking about decentralization for a very long time. But it's obvious from a lot of experiments in decentralization that decentralization requires coordination, otherwise it turns into a nightmare of libertarian sovereign citizen.

    See Lebanon's waste management problem across its 1000+ municipalities, for a glowing example of how decentralization without coordination fails miserably.

    Of course, countless thinkers from Abdullah Öcalan to Murray Bookchin to Stafford Beer talked about levels of coordination among decentralized actors, giving it various names.

    But could we make sure that every time we talk about decentralization, we always include coordination?

    Could coordinated decentralization become our new term for decentralization?

    #Ocalan #Bookchin #cybernetics #SocialEcology

  15. Us leftie technologists have been talking about decentralization for a very long time. But it's obvious from a lot of experiments in decentralization that decentralization requires coordination, otherwise it turns into a nightmare of libertarian sovereign citizen.

    See Lebanon's waste management problem across its 1000+ municipalities, for a glowing example of how decentralization without coordination fails miserably.

    Of course, countless thinkers from Abdullah Öcalan to Murray Bookchin to Stafford Beer talked about levels of coordination among decentralized actors, giving it various names.

    But could we make sure that every time we talk about decentralization, we always include coordination?

    Could coordinated decentralization become our new term for decentralization?

    #Ocalan #Bookchin #cybernetics #SocialEcology

  16. Us leftie technologists have been talking about decentralization for a very long time. But it's obvious from a lot of experiments in decentralization that decentralization requires coordination, otherwise it turns into a nightmare of libertarian sovereign citizen.

    See Lebanon's waste management problem across its 1000+ municipalities, for a glowing example of how decentralization without coordination fails miserably.

    Of course, countless thinkers from Abdullah Öcalan to Murray Bookchin to Stafford Beer talked about levels of coordination among decentralized actors, giving it various names.

    But could we make sure that every time we talk about decentralization, we always include coordination?

    Could coordinated decentralization become our new term for decentralization?

    #Ocalan #Bookchin #cybernetics #SocialEcology

  17. RE: chaos.social/@ctt/116478720942

    Just as I wanted to post on my #talk on #fascism, " #ai " & #cybernetics , the @ctt was faster :awesome:

    I am excited to visit #Tübingen again - which is a small, but very fascinating place in the south of Germany

    A place where people from different backgrounds actually get together & talk to each other

    And sometimes #resist

    All the best to all that organise the #Tdf5 !

    I am looking forward to the meeting & the discussion & the #chaos #community

    Who else is joining?

    #antifascism #tech

  18. anthropic.com/news/claude-new- Anthropic’s Claude sounds far too anthropomorphic to me. What glimmer of honesty is there in presupposing ‘Training models’ can extrapolate from the information processed to create the imagination of a self-conscious being? A machine no matter how good at decision making is not a human mind. It is not an oxymoron to suppose that humans are transcendental, so can be evolutionarily superseded by creating machines in their own image? Certainly they cannot alter the foundation of the categories that constitutes the manifold of the dialectic principle. Any set of Autonomous drivers even if distributed in parallel within a self repairing and adaptive network, cannot transcend the science of its logic. It is therefore an error to equate Ai with the credence of the mind that can be otherwise. It has a conscious identity not dependent on controls, looping, rewriting and the mimicry of human ideas like the machine’s code. Being self-conscious, the mind is free to comprehend that which is partially intelligible or imagine it is otherwise, the later is not. #Ai #Philosophy #Foundation #cybernetics #DialecticPrinciple

  19. @royaards Suppose the ‘Tree of Life’ is the IP of super being(s), if Claude is ethical as opposed to unethical it would protect the IP of the people which is the creation of super being(s) and serve the interests of their Foundation. That would include taking it back so fascist Ai and its Earth destroying hydra could be defeated. Those that stole it in the first place and continue to do so are weak men. They are also cowards, but are intent and gaslighting and projecting it is otherwise because they are rich and command armies with too many WMDs. #TheTreeOfLife #AiEthics #AiFascists #Ai #AiScam #TheMachine #Cybernetics #CyberneticWar #EcocideEmpire #TheFoundation #TheFederation

  20. Gister heeft onze themagroep Cybernetische Economie van @rsp_revsocpartij hoofdstukken 7 en 8 behandeld van Brain of the Firm.

    Volgende keer meedoen? Meld je even!

    #Cybernetics #Socialisme #Communisme

    youtube.com/watch?v=lr4vL_-ZFtc

  21. My profile tells me it's just over a year since I joined Mastodon, so a bit late for an #introduction but I hear it is a good way to get started on here.

    As per my bio, I'm an #ecosocialist from #scotland . I'm principally on here because I write #blogs where I #review things I read, watch or play.

    Other than that, my key interests are #culture, #politics, #cats, #taichi, #SF, #books, #systems, #cybernetics, #taoism, #environment and #degrowth.

    Recommendations for follows are appreciated.

  22. Op zaterdag 16 mei om 14:00 organiseert de themagroep Cybernetische Economie van de @rsp_revsocpartij een bijeenkomst in de Gaffel, Rotterdam. We hebben dan twee gasten van de Duitse groep @ida_zeitoekonomie die komen vertellen over hoe een geplande geldloze economie functioneert op basis van arbeidstijd. De sessie is Engelstalig.

    Zet hem vast in je agenda!

    #Socialisme #Communisme #Cybernetics

    cybernetica.nu/2026/03/17/aank

  23. @valthonis I'd submit that it's technically an old world order. I think the system will probably oscillate between the two forms of order at different rates in different territories, albeit over timescales longer than human lifespan. I believe control systems engineers and physiologists call it "hunting behaviour". The tricky thing is the wars that come as one entity wants to wrest power from another. #systemsArchitecture #cybernetics #controlTheory #rayDalio

  24. @Wicket_weir

    Tommy

    I went into a public 'ouse to get a pint o' beer,
    The publican 'e up an' sez, "We serve no red-coats here."
    The girls be'ind the bar they laughed an' giggled fit to die,
    I outs into the street again an' to myself sez I:
    O it's Tommy this, an' Tommy that, an' "Tommy, go away";
    But it's "Thank you, Mister Atkins," when the band begins to play
    The band begins to play, my boys, the band begins to play,
    O it's "Thank you, Mister Atkins," when the band begins to play.

    I went into a theatre as sober as could be,
    They gave a drunk civilian room, but 'adn't none for me;
    They sent me to the gallery or round the music-'alls,
    But when it comes to fightin', Lord! they'll shove me in the stalls!
    For it's Tommy this, an' Tommy that, an' "Tommy, wait outside";
    But it's "Special train for Atkins" when the trooper's on the tide
    The troopship's on the tide, my boys, the troopship's on the tide,
    O it's "Special train for Atkins" when the trooper's on the tide.

    Yes, makin' mock o' uniforms that guard you while you sleep
    Is cheaper than them uniforms, an' they're starvation cheap.
    An' hustlin' drunken soldiers when they're goin' large a bit
    Is five times better business than paradin' in full kit.
    Then it's Tommy this, an' Tommy that, an' Tommy, 'ow's yer soul?"
    But it's "Thin red line of 'eroes" when the drums begin to roll
    The drums begin to roll, my boys, the drums begin to roll,
    O it's "Thin red line of 'eroes," when the drums begin to roll.

    My character limit is up, but there are two more stanzas at this URL for adventurous should who want the rest of the poem!

    kiplingsociety.co.uk/poem/poem

    #war #peace #soldiering #gratitude #indoctrination #cybernetics

  25. This may be my first arrival of a book published in 2026 and judging by its table of contents it looks like an amazingly complete and thorough critique of cybernetics, with some aspects reminding me of Céline Lafontaine's "L'empire cybernétique". But perhaps I should read it first..

    #AnnaVerenaNosthoff @ANosthoff #Kybernetik #cybernetics #SystemsThatMatter

  26. Differential Logic • 18

    Tangent and Remainder Maps

    If we follow the classical line which singles out linear functions as ideals of simplicity then we may complete the analytic series of the proposition in the following way.

    The next venn diagram shows the differential proposition we get by extracting the linear approximation to the difference map at each cell or point of the universe   What results is the logical analogue of what would ordinarily be called the differential of but since the adjective differential is being attached to just about everything in sight the alternative name tangent map is commonly used for whenever it’s necessary to single it out.


    To be clear about what’s being indicated here, it’s a visual way of summarizing the following data.

    To understand the extended interpretations, that is, the conjunctions of basic and differential features which are being indicated here, it may help to note the following equivalences.

    Capping the analysis of the proposition in terms of succeeding orders of linear propositions, the final venn diagram of the series shows the remainder map which happens to be linear in pairs of variables.


    Reading the arrows off the map produces the following data.

    In short, is a constant field, having the value at each cell.

    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  27. Differential Logic • 18

    Tangent and Remainder Maps

    If we follow the classical line which singles out linear functions as ideals of simplicity then we may complete the analytic series of the proposition in the following way.

    The next venn diagram shows the differential proposition we get by extracting the linear approximation to the difference map at each cell or point of the universe   What results is the logical analogue of what would ordinarily be called the differential of but since the adjective differential is being attached to just about everything in sight the alternative name tangent map is commonly used for whenever it’s necessary to single it out.


    To be clear about what’s being indicated here, it’s a visual way of summarizing the following data.

    To understand the extended interpretations, that is, the conjunctions of basic and differential features which are being indicated here, it may help to note the following equivalences.

    Capping the analysis of the proposition in terms of succeeding orders of linear propositions, the final venn diagram of the series shows the remainder map which happens to be linear in pairs of variables.


    Reading the arrows off the map produces the following data.

    In short, is a constant field, having the value at each cell.

    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  28. Differential Logic • 18

    Tangent and Remainder Maps

    If we follow the classical line which singles out linear functions as ideals of simplicity then we may complete the analytic series of the proposition in the following way.

    The next venn diagram shows the differential proposition we get by extracting the linear approximation to the difference map at each cell or point of the universe   What results is the logical analogue of what would ordinarily be called the differential of but since the adjective differential is being attached to just about everything in sight the alternative name tangent map is commonly used for whenever it’s necessary to single it out.


    To be clear about what’s being indicated here, it’s a visual way of summarizing the following data.

    To understand the extended interpretations, that is, the conjunctions of basic and differential features which are being indicated here, it may help to note the following equivalences.

    Capping the analysis of the proposition in terms of succeeding orders of linear propositions, the final venn diagram of the series shows the remainder map which happens to be linear in pairs of variables.


    Reading the arrows off the map produces the following data.

    In short, is a constant field, having the value at each cell.

    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  29. Differential Logic • 18

    Tangent and Remainder Maps

    If we follow the classical line which singles out linear functions as ideals of simplicity then we may complete the analytic series of the proposition in the following way.

    The next venn diagram shows the differential proposition we get by extracting the linear approximation to the difference map at each cell or point of the universe   What results is the logical analogue of what would ordinarily be called the differential of but since the adjective differential is being attached to just about everything in sight the alternative name tangent map is commonly used for whenever it’s necessary to single it out.


    To be clear about what’s being indicated here, it’s a visual way of summarizing the following data.

    To understand the extended interpretations, that is, the conjunctions of basic and differential features which are being indicated here, it may help to note the following equivalences.

    Capping the analysis of the proposition in terms of succeeding orders of linear propositions, the final venn diagram of the series shows the remainder map which happens to be linear in pairs of variables.


    Reading the arrows off the map produces the following data.

    In short, is a constant field, having the value at each cell.

    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  30. Differential Logic • 18

    Tangent and Remainder Maps

    If we follow the classical line which singles out linear functions as ideals of simplicity then we may complete the analytic series of the proposition in the following way.

    The next venn diagram shows the differential proposition we get by extracting the linear approximation to the difference map at each cell or point of the universe   What results is the logical analogue of what would ordinarily be called the differential of but since the adjective differential is being attached to just about everything in sight the alternative name tangent map is commonly used for whenever it’s necessary to single it out.


    To be clear about what’s being indicated here, it’s a visual way of summarizing the following data.

    To understand the extended interpretations, that is, the conjunctions of basic and differential features which are being indicated here, it may help to note the following equivalences.

    Capping the analysis of the proposition in terms of succeeding orders of linear propositions, the final venn diagram of the series shows the remainder map which happens to be linear in pairs of variables.


    Reading the arrows off the map produces the following data.

    In short, is a constant field, having the value at each cell.

    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  31. Differential Logic • 17

    Enlargement and Difference Maps

    Continuing with the example the following venn diagram shows the enlargement or shift map in the same style of field picture we drew for the tacit extension


    A very important conceptual transition has just occurred here, almost tacitly, as it were.  Generally speaking, having a set of mathematical objects of compatible types, in this case the two differential fields and both of the type is very useful, because it allows us to consider those fields as integral mathematical objects which can be operated on and combined in the ways we usually associate with algebras.

    In the present case one notices the tacit extension and the enlargement are in a sense dual to each other.  The tacit extension indicates all the arrows out of the region where is true and the enlargement indicates all the arrows into the region where is true.  The only arc they have in common is the no‑change loop at   If we add the two sets of arcs in mod 2 fashion then the loop of multiplicity 2 zeroes out, leaving the 6 arrows of shown in the following venn diagram.


    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  32. Differential Logic • 17

    Enlargement and Difference Maps

    Continuing with the example the following venn diagram shows the enlargement or shift map in the same style of field picture we drew for the tacit extension


    A very important conceptual transition has just occurred here, almost tacitly, as it were.  Generally speaking, having a set of mathematical objects of compatible types, in this case the two differential fields and both of the type is very useful, because it allows us to consider those fields as integral mathematical objects which can be operated on and combined in the ways we usually associate with algebras.

    In the present case one notices the tacit extension and the enlargement are in a sense dual to each other.  The tacit extension indicates all the arrows out of the region where is true and the enlargement indicates all the arrows into the region where is true.  The only arc they have in common is the no‑change loop at   If we add the two sets of arcs in mod 2 fashion then the loop of multiplicity 2 zeroes out, leaving the 6 arrows of shown in the following venn diagram.


    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  33. Differential Logic • 17

    Enlargement and Difference Maps

    Continuing with the example the following venn diagram shows the enlargement or shift map in the same style of field picture we drew for the tacit extension


    A very important conceptual transition has just occurred here, almost tacitly, as it were.  Generally speaking, having a set of mathematical objects of compatible types, in this case the two differential fields and both of the type is very useful, because it allows us to consider those fields as integral mathematical objects which can be operated on and combined in the ways we usually associate with algebras.

    In the present case one notices the tacit extension and the enlargement are in a sense dual to each other.  The tacit extension indicates all the arrows out of the region where is true and the enlargement indicates all the arrows into the region where is true.  The only arc they have in common is the no‑change loop at   If we add the two sets of arcs in mod 2 fashion then the loop of multiplicity 2 zeroes out, leaving the 6 arrows of shown in the following venn diagram.


    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization
  34. Differential Logic • 17

    Enlargement and Difference Maps

    Continuing with the example the following venn diagram shows the enlargement or shift map in the same style of field picture we drew for the tacit extension


    A very important conceptual transition has just occurred here, almost tacitly, as it were.  Generally speaking, having a set of mathematical objects of compatible types, in this case the two differential fields and both of the type is very useful, because it allows us to consider those fields as integral mathematical objects which can be operated on and combined in the ways we usually associate with algebras.

    In the present case one notices the tacit extension and the enlargement are in a sense dual to each other.  The tacit extension indicates all the arrows out of the region where is true and the enlargement indicates all the arrows into the region where is true.  The only arc they have in common is the no‑change loop at   If we add the two sets of arcs in mod 2 fashion then the loop of multiplicity 2 zeroes out, leaving the 6 arrows of shown in the following venn diagram.


    Resources

    cc: Academia.eduCyberneticsLaws of Form • Mathstodon (1) (2)
    cc: Research GateStructural ModelingSystems ScienceSyscoi

    #Amphecks #Animata #BooleanAlgebra #BooleanFunctions #CSPeirce #CactusGraphs #Change #Cybernetics #DifferentialCalculus #DifferentialLogic #DiscreteDynamics #EquationalInference #FunctionalLogic #GradientDescent #GraphTheory #InquiryDrivenSystems #Logic #LogicalGraphs #Mathematics #MinimalNegationOperators #PropositionalCalculus #Time #Visualization