#spencerbrown — Public Fediverse posts on home.social

Jon Awbrey @[email protected] · 2026-05-01 · 21:32 UTC

Animated Logical Graphs • 2
• https://inquiryintoinquiry.com/2015/01/14/animated-logical-graphs-2/

It's almost 50 years now since I first encountered the volumes of Peirce's “Collected Papers” in the math library at Michigan State, and shortly afterwards a friend called my attention to the entry for Spencer Brown's “Laws of Form” in the Whole Earth Catalog and I sent off for it right away. I would spend the next decade just beginning to figure out what either one of them was talking about in the matter of logical graphs and I would spend another decade after that developing a program, first in Lisp and then in Pascal, that turned graph‑theoretic data structures formed on their ideas to good purpose as the basis of its reasoning engine.

I thought it might contribute to a number of long‑running and ongoing discussions if I could articulate what I think I learned from that experience.

So I'll try to keep focused on that.

Resources —

Logical Graphs • First Impressions
• https://inquiryintoinquiry.com/2024/08/26/logical-graphs-first-impressions-a/

Logical Graphs • Formal Development
• https://inquiryintoinquiry.com/2024/09/12/logical-graphs-formal-development-b/

Survey of Animated Logical Graphs
• https://inquiryintoinquiry.com/2025/05/02/survey-of-animated-logical-graphs-8/

#Peirce #Logic #Mathematics #Semiotics #LogicalGraphs #GraphTheory
#SpencerBrown #LawsOfForm #PropositionalCalculus #ProofAnimations

#proofanimations #propositionalcalculus #lawsofform #spencerbrown #graphtheory #logicalgraphs

Jon Awbrey @[email protected] · 2026-04-30 · 14:20 UTC

Animated Logical Graphs • 1
• https://inquiryintoinquiry.com/2015/01/08/animated-logical-graphs-1/

For Your Musement …

Here are some animations I made up to illustrate several different styles of proof in an extended topological variant of Peirce's Alpha Graphs for propositional logic.

Proof Animations
• https://oeis.org/wiki/User:Jon_Awbrey/ANIMATION#Proof_Animations

Double Negation
• https://inquiryintoinquiry.com/wp-content/uploads/2026/04/proof-animation-e280a2-double-negation-2.0.gif

Peirce's Law
• https://inquiryintoinquiry.com/wp-content/uploads/2026/04/proof-animation-e280a2-peirces-law-2.0.gif

Praeclarum Theorema
• https://inquiryintoinquiry.com/wp-content/uploads/2026/04/proof-animation-e280a2-praeclarum-theorema-2.0.gif

Two‑Thirds Majority Function
• https://inquiryintoinquiry.com/wp-content/uploads/2026/04/proof-animation-e280a2-two-thirds-majority-function-2.0.gif

A full discussion of logical graphs can be found in the following article.

Logical Graphs
• https://oeis.org/wiki/Logical_Graphs

Resources —

Logical Graphs • First Impressions
• https://inquiryintoinquiry.com/2024/08/26/logical-graphs-first-impressions-a/

Logical Graphs • Formal Development
• https://inquiryintoinquiry.com/2024/09/12/logical-graphs-formal-development-b/

Survey of Animated Logical Graphs
• https://inquiryintoinquiry.com/2025/05/02/survey-of-animated-logical-graphs-8/

cc: https://www.academia.edu/community/ldzadj
cc: https://mathstodon.xyz/@Inquiry/116494097283214718
cc: https://www.researchgate.net/post/Animated_Logical_Graphs
cc: https://stream.syscoi.com/2026/04/30/animated-logical-graphs-1/
cc: https://groups.io/g/lawsofform/topic/animated_logical_graphs/119049814

#Peirce #Logic #Mathematics #Semiotics #LogicalGraphs #GraphTheory
#SpencerBrown #LawsOfForm #PropositionalCalculus #ProofAnimations

#proofanimations #propositionalcalculus #lawsofform #spencerbrown #graphtheory #logicalgraphs

Jon Awbrey @[email protected] · 2026-04-28 · 13:48 UTC

Animated Logical Graphs • 1
• https://inquiryintoinquiry.com/2015/01/08/animated-logical-graphs-1/

For Your Musement …

Here are some animations I made up to illustrate several different styles of proof in an extended topological variant of Peirce’s Alpha Graphs for propositional logic.

Proof Animations
• https://oeis.org/wiki/User:Jon_Awbrey/ANIMATION#Proof_Animations

See the following article for a full discussion of this type of logical graph.

Logical Graphs
• https://oeis.org/wiki/Logical_Graphs

Additional Resources —

Logical Graphs • First Impressions
• https://inquiryintoinquiry.com/2024/08/26/logical-graphs-first-impressions-a/

Logical Graphs • Formal Development
• https://inquiryintoinquiry.com/2024/09/12/logical-graphs-formal-development-b/

#Peirce #Logic #Mathematics #Semiotics #LogicalGraphs #GraphTheory
#SpencerBrown #LawsOfForm #PropositionalCalculus #ProofAnimations

#proofanimations #propositionalcalculus #lawsofform #spencerbrown #graphtheory #logicalgraphs

Buffalo Bills @[email protected] · 2026-03-22 · 22:33 UTC

Ranking the Bills’ Round 2 NFL Draft picks of the Brandon Beane era

Buffalo Bills fans are well aware that the team doesn’t currently have a secon…
#NFL #BuffaloBills #Buffalo #Bills #2026NFLDraft #A.J.Epenesa #ArizonaCardinals #BoogieBasham #brandonbeane #ChicagoBears #ClevelandBrowns #CodyFord #ColeBishop #DJMoore #Football #GregoryRousseau #JamesCook #JimLeonhard #JoshAllen #KansasCityChiefs #KeonColeman #NewYorkGiants #SpencerBrown #T.J.Sanders #theBills
https://www.rawchili.com/nfl/827876/

#thebills #t #spencerbrown #newyorkgiants #keoncoleman #kansascitychiefs

Buffalo Bills @[email protected] · 2026-03-22 · 22:33 UTC

Ranking the Bills’ Round 2 NFL Draft picks of the Brandon Beane era

Buffalo Bills fans are well aware that the team doesn’t currently have a secon…
#NFL #BuffaloBills #Buffalo #Bills #2026NFLDraft #A.J.Epenesa #ArizonaCardinals #BoogieBasham #brandonbeane #ChicagoBears #ClevelandBrowns #CodyFord #ColeBishop #DJMoore #Football #GregoryRousseau #JamesCook #JimLeonhard #JoshAllen #KansasCityChiefs #KeonColeman #NewYorkGiants #SpencerBrown #T.J.Sanders #theBills
https://www.rawchili.com/nfl/827876/

#nfl #buffalobills #buffalo #bills #2026nfldraft #a

NFL News @[email protected] · 2026-03-22 · 21:52 UTC

Ranking the Bills’ Round 2 NFL Draft picks of the Brandon Beane era https://www.rawchili.com/nfl/827876/ #2026NFLDraft #AJEpenesa #ArizonaCardinals #Bills #BoogieBasham #BrandonBeane #Buffalo #BuffaloBills #BuffaloBills #ChicagoBears #ClevelandBrowns #CodyFord #ColeBishop #DJMoore #Football #GregoryRousseau #JamesCook #JimLeonhard #JoshAllen #KansasCityChiefs #KeonColeman #NewYorkGiants #NFL #SpencerBrown #TJSanders #TheBills

#2026nfldraft #ajepenesa #arizonacardinals #bills #boogiebasham #brandonbeane

NFL News @[email protected] · 2026-03-21 · 19:15 UTC

AFC Notes: Justin Fields, Jaylen Waddle, Bills, Dolphins, Jets https://www.rawchili.com/nfl/825619/ #AndrewMeyer #BrandonStephens #CJGardnerJohnson #CarsonWentz #ChristianBenford #CooperRush #DavidOjabo #DeeAlford #DionDawkins #DontayvionWicks #Football #GenoSmith #GenoStone #GregRousseau #JamareeSalyer #JamesCook #JaylenWaddle #JoshAllen #JoshPalmer #JustinFields #KhalilShakir #NahshonWright #QuentinJohnston #RashodBateman #SpencerBrown #TerrelBernard #TyrodTaylor

#tyrodtaylor #terrelbernard #spencerbrown #rashodbateman #quentinjohnston #nahshonwright

NFL News @[email protected] · 2026-03-21 · 19:15 UTC

AFC Notes: Justin Fields, Jaylen Waddle, Bills, Dolphins, Jets https://www.rawchili.com/nfl/825619/ #AndrewMeyer #BrandonStephens #CJGardnerJohnson #CarsonWentz #ChristianBenford #CooperRush #DavidOjabo #DeeAlford #DionDawkins #DontayvionWicks #Football #GenoSmith #GenoStone #GregRousseau #JamareeSalyer #JamesCook #JaylenWaddle #JoshAllen #JoshPalmer #JustinFields #KhalilShakir #NahshonWright #QuentinJohnston #RashodBateman #SpencerBrown #TerrelBernard #TyrodTaylor

#andrewmeyer #brandonstephens #cjgardnerjohnson #carsonwentz #christianbenford #cooperrush

Buffalo Bills @[email protected] · 2026-02-25 · 18:03 UTC

8 more Bills contract restructure candidates after Spencer Brown

Buffalo’s offseason will involve Brandon Beane restructuring some current player contracts to free up cap space. The Bills’…
#NFL #BuffaloBills #Buffalo #Bills #Allen #Brown #DawsonKnox #DionDawkins #EdOliver #Football #GregRousseau #JimLeonhard #JoshPalmer #MichaelHoecht #salarycap #SpencerBrown #TaronJohnson #theBills
https://www.rawchili.com/nfl/775821/

#thebills #taronjohnson #spencerbrown #salarycap #michaelhoecht #joshpalmer

NFL News @[email protected] · 2026-02-25 · 16:49 UTC

8 more Bills contract restructure candidates after Spencer Brown https://www.rawchili.com/nfl/775821/ #Allen #Bills #Brown #Buffalo #BuffaloBills #BuffaloBills #DawsonKnox #DionDawkins #EdOliver #Football #GregRousseau #JimLeonhard #JoshPalmer #MichaelHoecht #NFL #SalaryCap #SpencerBrown #TaronJohnson #TheBills

#thebills #taronjohnson #spencerbrown #salarycap #nfl #michaelhoecht

NFL News @[email protected] · 2026-02-25 · 16:49 UTC

8 more Bills contract restructure candidates after Spencer Brown https://www.rawchili.com/nfl/775821/ #Allen #Bills #Brown #Buffalo #BuffaloBills #BuffaloBills #DawsonKnox #DionDawkins #EdOliver #Football #GregRousseau #JimLeonhard #JoshPalmer #MichaelHoecht #NFL #SalaryCap #SpencerBrown #TaronJohnson #TheBills

#allen #bills #brown #buffalo #buffalobills #dawsonknox

RAWCHILI @[email protected] · 2026-02-15 · 17:19 UTC

Buffalo Bills Salary Cap Outlook EXPOSED—How Brandon Beane Will UNLOCK Offseason OPPORTUNITY https://www.rawchili.com/4869434/ #BillsCapSpace #BillsNews #BillsOffseason #BillsRumors #BrandonBeane #BuffaloBills #BuffaloBillsPodcast #BuffaloBillsSalaryCap #BuffaloBills #CurtisSamuel #DawsonKnox #DionDawkins #DorianWilliams #EdOliver #Football #GregRousseau #JoshAllen #LockedOnBills #NFL #NflSalaryCap #OsirisTorrence #SpencerBrown #TaronJohnson #TaylorRapp #TyJohnson #TylerBass

#tylerbass #tyjohnson #taylorrapp #taronjohnson #spencerbrown #osiristorrence

RAWCHILI @[email protected] · 2026-02-15 · 17:19 UTC

Buffalo Bills Salary Cap Outlook EXPOSED—How Brandon Beane Will UNLOCK Offseason OPPORTUNITY https://www.rawchili.com/4869434/ #BillsCapSpace #BillsNews #BillsOffseason #BillsRumors #BrandonBeane #BuffaloBills #BuffaloBillsPodcast #BuffaloBillsSalaryCap #BuffaloBills #CurtisSamuel #DawsonKnox #DionDawkins #DorianWilliams #EdOliver #Football #GregRousseau #JoshAllen #LockedOnBills #NFL #NflSalaryCap #OsirisTorrence #SpencerBrown #TaronJohnson #TaylorRapp #TyJohnson #TylerBass

#billscapspace #billsnews #billsoffseason #billsrumors #brandonbeane #buffalobills

Buffalo Bills @[email protected] · 2026-02-14 · 14:33 UTC

PFF: 5 highest-graded Bills players on offense in 2025

The Buffalo Bills fell short of their ultimate goals during the 2025 NFL season, losing their streak of…
#NFL #BuffaloBills #Buffalo #Bills #2025NFLseason #DaltonKincaid #Football #Jackson #JamesCook #JoshAllen #ProFootballFocus #SpencerBrown #ultimategoals
https://www.rawchili.com/nfl/751697/

#ultimategoals #spencerbrown #profootballfocus #joshallen #jamescook #jackson

Buffalo Bills @[email protected] · 2026-02-14 · 14:33 UTC

PFF: 5 highest-graded Bills players on offense in 2025

The Buffalo Bills fell short of their ultimate goals during the 2025 NFL season, losing their streak of…
#NFL #BuffaloBills #Buffalo #Bills #2025NFLseason #DaltonKincaid #Football #Jackson #JamesCook #JoshAllen #ProFootballFocus #SpencerBrown #ultimategoals
https://www.rawchili.com/nfl/751697/

#nfl #buffalobills #buffalo #bills #2025nflseason #daltonkincaid

NFL News @[email protected] · 2026-02-14 · 13:53 UTC

PFF: 5 highest-graded Bills players on offense in 2025 https://www.rawchili.com/nfl/751697/ #2025NFLSeason #Bills #Buffalo #BuffaloBills #BuffaloBills #DaltonKincaid #Football #Jackson #JamesCook #JoshAllen #NFL #ProFootballFocus #SpencerBrown #UltimateGoals

#ultimategoals #spencerbrown #profootballfocus #nfl #joshallen #jamescook

NFL News @[email protected] · 2026-02-14 · 13:53 UTC

PFF: 5 highest-graded Bills players on offense in 2025 https://www.rawchili.com/nfl/751697/ #2025NFLSeason #Bills #Buffalo #BuffaloBills #BuffaloBills #DaltonKincaid #Football #Jackson #JamesCook #JoshAllen #NFL #ProFootballFocus #SpencerBrown #UltimateGoals

#2025nflseason #bills #buffalo #buffalobills #daltonkincaid #football

NFL News @[email protected] · 2026-01-30 · 15:55 UTC

The offseason move the Rams need not make https://www.rawchili.com/nfl/716852/ #AbrahamLucas #AlaricJackson #AndrewWhitworth #AustinJackson #ContractExtension #Football #JawaanTaylor #KalebMcGary #LaneJohnson #LosAngeles #LosAngelesRams #LosAngeles #LosAngelesRams #MichaelOnwenu #MikeMcGlinchey #NateLandman #NFL #OffensiveLine #Packers #Panthers #PeneiSewell #Rams #RobHavenstein #SeattleSeahawks #SpencerBrown #TaylorMoton #TheRams #TytusHoward #WarrenMcclendon #ZachTom

#zachtom #warrenmcclendon #tytushoward #therams #taylormoton #spencerbrown

NFL News @[email protected] · 2026-01-30 · 15:55 UTC

The offseason move the Rams need not make https://www.rawchili.com/nfl/716852/ #AbrahamLucas #AlaricJackson #AndrewWhitworth #AustinJackson #ContractExtension #Football #JawaanTaylor #KalebMcGary #LaneJohnson #LosAngeles #LosAngelesRams #LosAngeles #LosAngelesRams #MichaelOnwenu #MikeMcGlinchey #NateLandman #NFL #OffensiveLine #Packers #Panthers #PeneiSewell #Rams #RobHavenstein #SeattleSeahawks #SpencerBrown #TaylorMoton #TheRams #TytusHoward #WarrenMcclendon #ZachTom

#abrahamlucas #alaricjackson #andrewwhitworth #austinjackson #contractextension #football

Jon Awbrey @[email protected] · 2026-01-13 · 11:54 UTC

This thing all things devours:
Birds, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slays king, ruins town,
And beats high mountain down.

— Tolkien • The Hobbit

Talking about time is a waste of time. Time is merely an abstraction from process and what is needed are better languages and better pictures for describing process in all its variety. In the sciences the big breakthrough in describing process came with the differential and integral calculus, that made it possible to shuttle between quantitative measures of state and quantitative measures of change. But every inquiry into a new phenomenon begins with the slimmest grasp of its qualitative features and labors long and hard to reach as far as a tentative logical description. What can avail us in the mean time, still tuning up before the first measure, to reason about change in qualitative terms?

Et sic deinceps … (So it begins …)

#Animata, #CSPeirce, #Change, #Cybernetics, #DifferentialLogic, #GraphTheory, #LawsOfForm, #Logic, #LogicalGraphs, #Mathematics, #Paradox, #Peirce, #Process, #ProcessThinking, #SpencerBrown, #SystemsTheory, #Time, #Tolkien

#tolkien #time #systemstheory #spencerbrown #processthinking #process

Jon Awbrey @[email protected] · 2026-01-13 · 11:54 UTC

This thing all things devours:
Birds, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slays king, ruins town,
And beats high mountain down.

— Tolkien • The Hobbit

Talking about time is a waste of time. Time is merely an abstraction from process and what is needed are better languages and better pictures for describing process in all its variety. In the sciences the big breakthrough in describing process came with the differential and integral calculus, that made it possible to shuttle between quantitative measures of state and quantitative measures of change. But every inquiry into a new phenomenon begins with the slimmest grasp of its qualitative features and labors long and hard to reach as far as a tentative logical description. What can avail us in the mean time, still tuning up before the first measure, to reason about change in qualitative terms?

Et sic deinceps … (So it begins …)

#Animata, #CSPeirce, #Change, #Cybernetics, #DifferentialLogic, #GraphTheory, #LawsOfForm, #Logic, #LogicalGraphs, #Mathematics, #Paradox, #Peirce, #Process, #ProcessThinking, #SpencerBrown, #SystemsTheory, #Time, #Tolkien

#tolkien #time #systemstheory #spencerbrown #processthinking #process

Jon Awbrey @[email protected] · 2026-01-13 · 11:54 UTC

This thing all things devours:
Birds, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slays king, ruins town,
And beats high mountain down.

— Tolkien • The Hobbit

Talking about time is a waste of time. Time is merely an abstraction from process and what is needed are better languages and better pictures for describing process in all its variety. In the sciences the big breakthrough in describing process came with the differential and integral calculus, that made it possible to shuttle between quantitative measures of state and quantitative measures of change. But every inquiry into a new phenomenon begins with the slimmest grasp of its qualitative features and labors long and hard to reach as far as a tentative logical description. What can avail us in the mean time, still tuning up before the first measure, to reason about change in qualitative terms?

Et sic deinceps … (So it begins …)

#Animata, #CSPeirce, #Change, #Cybernetics, #DifferentialLogic, #GraphTheory, #LawsOfForm, #Logic, #LogicalGraphs, #Mathematics, #Paradox, #Peirce, #Process, #ProcessThinking, #SpencerBrown, #SystemsTheory, #Time, #Tolkien

#tolkien #time #systemstheory #spencerbrown #processthinking #process

Jon Awbrey @[email protected] · 2026-01-13 · 11:54 UTC

This thing all things devours:
Birds, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slays king, ruins town,
And beats high mountain down.

— Tolkien • The Hobbit

Talking about time is a waste of time. Time is merely an abstraction from process and what is needed are better languages and better pictures for describing process in all its variety. In the sciences the big breakthrough in describing process came with the differential and integral calculus, that made it possible to shuttle between quantitative measures of state and quantitative measures of change. But every inquiry into a new phenomenon begins with the slimmest grasp of its qualitative features and labors long and hard to reach as far as a tentative logical description. What can avail us in the mean time, still tuning up before the first measure, to reason about change in qualitative terms?

Et sic deinceps … (So it begins …)

#Animata, #CSPeirce, #Change, #Cybernetics, #DifferentialLogic, #GraphTheory, #LawsOfForm, #Logic, #LogicalGraphs, #Mathematics, #Paradox, #Peirce, #Process, #ProcessThinking, #SpencerBrown, #SystemsTheory, #Time, #Tolkien

#cspeirce #animata #change #cybernetics #differentiallogic #graphtheory

Jon Awbrey @[email protected] · 2026-01-13 · 11:54 UTC

This thing all things devours:
Birds, beasts, trees, flowers;
Gnaws iron, bites steel;
Grinds hard stones to meal;
Slays king, ruins town,
And beats high mountain down.

— Tolkien • The Hobbit

Talking about time is a waste of time. Time is merely an abstraction from process and what is needed are better languages and better pictures for describing process in all its variety. In the sciences the big breakthrough in describing process came with the differential and integral calculus, that made it possible to shuttle between quantitative measures of state and quantitative measures of change. But every inquiry into a new phenomenon begins with the slimmest grasp of its qualitative features and labors long and hard to reach as far as a tentative logical description. What can avail us in the mean time, still tuning up before the first measure, to reason about change in qualitative terms?

Et sic deinceps … (So it begins …)

#Animata, #CSPeirce, #Change, #Cybernetics, #DifferentialLogic, #GraphTheory, #LawsOfForm, #Logic, #LogicalGraphs, #Mathematics, #Paradox, #Peirce, #Process, #ProcessThinking, #SpencerBrown, #SystemsTheory, #Time, #Tolkien