Exposition

Research

Community

Contact

  • Andrius Kulikauskas
  • m a t h 4 w i s d o m @
  • g m a i l . c o m
  • +370 607 27 665
  • Eičiūnų km, Alytaus raj, Lithuania

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Videos


Andrius Kulikauskas

Community

I invite you to join the Math 4 Wisdom Discussion List.

Here is our archive. Thank you to Kirby Urner for his many letters.

I thank you for your support through Patreon.

Writings

My writings include several talks where I present links between wisdom and math, such as: A Geometry of Moods: Evoked by Wujue Poems of the Tang Dynasty

Current Focus

I am working on upcoming videos on a variety of subjects in a variety of formats.

In mathematics, I am studying how the Yoneda Lemma expresses four levels of knowledge: whether, what, how, why. Ultimately, I will relate that to my investigation of Adjunction. I am collecting and classifying adjoint strings and investigating how they may express cognitive frameworks that organize perspectives and contexts. I zoom every other Sunday with Wenbo Gao and the New York Category Theory and Algebra Meet Up. We are currently studying Allen Hatcher's book on algebraic topology. On January 8th, we will start studying Chapter 2 on Homology. You are welcome to join us!


Wondrous Andrius

In physics, I am relating the combinatorics of Feynman diagrams and Hermite polynomials, with the hope to extend quantum field theory further through five natural coordinate systems based on the fivefold classification of Sheffer polynomials. I am interpreting this classification as the fivesome, a cognitive framework for decision making, for relating a subsystem and a system, based on two kinds of causality, backwards from effect to cause - every effect has had its cause, and forwards from cause to effect - not every cause has had its effects. I zoom every other Monday with John Harland.

As regards peacemaking, an application of wisdom, I am looking for a Russian speaking activist who would help us encourage dialogue in good will with supporters of both Russia and Ukraine.

In wondrous wisdom, I am relating God's questions (Whether, What, How, Why God exists?) and human's questions (What is the difference between God and goodness in eternal life, wisdom, good will, God's will?) In particular, I am seeking a relationship between God's and human's frameworks for wisdom. As data, I am analyzing the wisdom in meaningful experiences in my own life. Perhaps you would likewise share, study and model your meaningful experiences?

For personal growth, I am investigating how to nurture myself and others and God to grow ever more mature. My friends and I published the first newsletter, Laiškai šviesuoliams, in Lithuanian, for a culture of self learners (independent thinkers, enlighteners).

Latest Research

2023.01.25 I am collecting material for a video where I overview the Binomial theorem as a portal for God in math. I will also make some videos where I tutor Bill Pahl about this.

2023.01.24 Thank you to Tom Koornwinder! for kindly writing out the details so that I could understand a key step in the derivation of the classification of Sheffer polynomials given in his and Paul Butzer's paper Josef Meixner: His life and his orthogonal polynomials.

2022.12.19 I am completing a video of John Harland teaching me linear regression.

2022.12.16 I am making slides for my Wondrous Wisdom Update about my ongoing research into wisdom.

2022.12.14 I am using straws, foam board, ribbon and modeling clay to build three-dimensional models of the root system {$A_3$} of {$SU(3)$}. I want to understand geometrically how two rotations by {$120^\circ$} yield a rotation by {$60^\circ$}. This will help me imagine the chain which is at the heart of almost all Dynkin diagrams. I am making a short video about this: Root system {$A_3$} chains together the geometry of n-dimensional space.

For earlier news see also my diary and the recently changed pages in my Exposition and Research sections.


Let's work together!

Truthful Wisdom

{$M\Rightarrow W$}, "M 4 W" and Math 4 Wisdom stand for Mathematics for Wisdom by Andrius Kulikauskas, ms@ms.lt, aka Living by Truth.

{$M\Rightarrow W$} inspires our imagination by studying its very limits, what we can imagine or not. Let's embrace the cognitive frameworks we can't escape and leverage them for a conceptual language of wisdom that we can express, validate and apply with the help of mathematics and all manner of sciences, creative arts and moral disciplines.


Keys to Math and Other Subjects

Coming sooner or later...


Profoundly Speculative Investigations

See all investigations.

Why study math? Here are mathematical concepts that I believe are relevant for wisdom.

Understandingfor modeling
MathematicsWisdom
  
The ways of figuring things out in mathematicsHouse of Knowledge for Mathematics
Four classical Lie familiesFour levels of geometry and logic
PolytopesChoice frameworks
{$SU(2)$}Emotional transformations
  
Yoneda lemmaDivision of everything into four levels of knowledge (Whether, What, How, Why)
Yates Index theoremDivision of everything into four...
The five conicsDivision of everything into five perspectives for decision making (thus space and time)
Fivefold classification of Sheffer polynomials of A-type zeroDivision of everything into five...
Adjoint string of length NDivision of everything into N perspectives
Bott periodicityEight-cycle of divisions
Grothendieck's six operationsSix representations of divisions
PerturbationIntervention, intercession, miracle
SpinorGoing beyond oneself into oneself
{$F_1$}Division of everything into 0 perspectives
The state of contradictionGod

Wonderfully Curious Phenomena

See all phenomena.


24 ways of figuring things out.

8 states of mind.

6 transformations of mood.


















Frequently Questioned Answers

In 1971, as a six-year old child, I went to God (?) with my quest to know everything (?) and apply that knowledge usefully (?)

In 2021, I am about ready to share wisdom (?) But who would (?) how could (?) why should anybody make an effort to comprehend it (?) take it to heart (?) try it out (?) and work together (?)

Math is a standard for truth. Math is verified again and ever again. It is a universal language, accessible to millions who make the effort, regardless of their personal creed. Enthusiasts, practitioners and specialists appreciate profound results and helpful expositions. They will invest themselves to understand, if they have good reason.

I think it best to demonstrate wisdom through math:

  • to apply wisdom by overviewing all of math, showing how it unfolds, with all of its branches, concepts, questions and results.
  • to express in mathematical form the cognitive frameworks that capture wisdom.
  • to develop insightful expositions of the relevant mathematics.
  • to present my work-in-progress as I pursue my ideas in life and math.

Currently, for a year or two, I have the means to spend all of my time on my philosophy and related mathematics. But then I will need to find a way to make a living. My plan is to create this website as a work-in-progress where I present the math that I have learned, am learning or will be learning which is relevant for sharing wisdom. I think that I will find supporters, including through Patreon, who would fund me to learn and present more math because they love advanced mathematics, want new ways of understanding it, wish to see it reach more people, and are excited how it might serve to express answers to life's great questions. I can also create learning materials, crowd source projects at Kickstarter, and work as a coach for self learners. As ever, my creative work is in the Public Domain, for all to use as they think best.

Ultimately, I hope that wisdom grows and we embrace wisdom, the Holy Spirit, in a language, a science, a culture of self learners. This website may reach you in a way that academic peer reviewed articles never would. I may write such articles, but I fear they won't be read, understood, embraced and lived. I can write here to you in a way that I would write to myself.

It seems natural to illustrate my ideas with visual thinking, combining text, images and diagrams, as I learned from John Rogers and from Robert Horn's books. Moreover, art is fun, art is social, art holds us together, art changes the rules, so that you might give me a chance. I want to speak from all of me, my conscious and unconscious, to all of you, your conscious and unconscious. I want you to feel that I am a person, real and true, who stands alone, yet aims to commune with you.

Wisdom is why I write, math is how I write. What I write are the creative arts that speak to your attention. Community with you is whether I succeed in writing to you that Spirit which reaches you, and whether from you it reaches me, so that it dances amongst us, as we step-in and step-out, as inspired.

I am working on a video where I introduce myself along with Math 4 Wisdom.


An Introduction to Everything

Coming soon...

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{$M\Rightarrow W$}, Math 4 Wisdom and Math for Wisdom stand for Mathematics for Wisdom by Andrius Kulikauskas.

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Šis puslapis paskutinį kartą keistas February 04, 2023, at 01:14 PM