Math 4 Wisdom. "Mathematics for Wisdom" by Andrius Kulikauskas.

Math 4 Wisdom community in March, 2023: Bill Pahl, Andrius Kulikauskas, Michael Schreiber, Kirby Urner, Thomas Gajdosik, John Harland, Jinan KB, Jon Brett.

Welcome to Math 4 Wisdom. Read the transcript and watch the video.

Community

Math 4 Wisdom is an investigatory community for absolute truth led by Andrius Kulikauskas.
Contact me at: m a t h 4 w i s d o m @ g m a i l . c o m

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

Here is our archive. Thank you, Kirby Urner, Jon Brett and Haris Shekeris for your many letters. My letters include: How best to participate at Math 4 Wisdom?, My goals for 2023 and Welcome to the Math 4 Wisdom discussion list!

I meet regularly with John Harland, with Thomas Gajdosik, with Bill Pahl, and with Michael Schreiber. Thank you all!

Please support me through Patreon. Thank you to Bill Pahl and anonymous supporters!

Latest Research

I am preparing for the Let Me Think Scholarship Workshop in Oneonta, New York, from June 4 to July 29. I want to investigate: What can awareness of the landscape of truth contribute to a network of investigatory communities? What are the relationships that people have with truth? What investigatory communities are there? Who cares about absolute truth and why? Here are my notes.

I am very much focused on outreach. In August, I will do a Math 4 Wisdom tour of the Pacific Coast, from Seattle to Portland to Silicon Valley to LA to San Diego.

What is your relationship with truth? I am collecting various answers to map out the Landscape of Truth.

I am mastering the Zig-zag lemma to understand how it manifests the learning cycle of taking a stand, following through and reflecting.

See also recently changed pages in my Exposition and Research sections.

As you can see, at this point I, Andrius Kulikauskas, am pursuing this research into Wondrous Wisdom and its manifestation with Math 4 Wisdom. I am grateful especially to John Harland and Thomas Gajdosik for being my companions. Thomas devotes an evening once a month to hear my progress in theology, philosophy, math and physics. John and I are working-in-parallel on our investigations. I look forward to working-in-parallel alongside others, and working as a team on all aspects of Wondrous Wisdom, as a community, as a movement, as a culture, as a civilization. Join us!

Wondrous Andrius

Current Focus

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

In mathematics, I am studying how divisions of everything manifest in specific structures, such as the Zig-Zag Lemma for the threesome and the Yoneda Embedding for the foursome. More generally, I am investigating how divisions of everything manifest through chain complexes and exact sequences, where the number of perspectives matches the number of mappings. I believe this all comes together in Bott periodicity. I am trying to understand Bott periodicity by way of the binomial theorem, Grassmannians, Clifford algebras, symmetric spaces and spin structures. This is also related to my interest in classifying adjunctions. I zoom every other Sunday with Wenbo Gao and the New York Category Theory and Algebra Meet Up. We are currently studying Chapter 2 on Homology in Allen Hatcher's book. You are welcome to join us!

In math education, and math epistemology, I am collecting examples of ways of figuring things out. I have documented a system of 24 ways and I will be making a series of videos about them. The first in this series is my most popular video, Surface Structure vs. Deep Structure (Math Epistemology).

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 on Mondays with John Harland.

As regards peacemaking, an application of wisdom, I am encouraging dialogue in good will with supporters of both Russia and Ukraine. I am working with Konstantin Fomin, the leader of Reforum Space Vilnius, a center for new arrivals from Russia. We are organizing meetings there and elsewhere and also an email discussion group in Russian.

In wondrous wisdom, I am currently overviewing and clarifying my findings with a playlist of videos. Investigating further, I want to relate 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?

In my personal growth, I am at a lull. For several months, I will be immersed in outreach, letting others know about Math 4 Wisdom and appreciating those for whom it resonates. I suppose it is a time for me to be mindful of what I value in life. I also want to grow as a leader.

Absolute Truth

The purpose of Math 4 Wisdom is to show that we can work together as a community in wisdom, speaking a language of wisdom, fostering a culture of wisdom. This involves us seeking and finding a deep understanding, at first in nothing, but then in something, and hopefully, in anything, and ultimately, in everything.

Such a deep agreement implies an ultimate context of absolute truth that is conditional and unconditional, subjective and objective, deniable and undeniable. I find such a context by studying the limits of my imagination. What is the prison of my mind? What are the cognitive frameworks that I do not escape?

A basic example is the concept of everything. It has four properties:

Everything has no external context. It includes its context, it includes the world, it includes us.
Everything has no internal structure. It is chaotic, it is orderly. All things are true of everything.
Everything is the simplest algorithm. It has no filter. Whatever we think of, we put into everything.
Everything is a required concept. We all have it. We can't get rid of it. We couldn't have learned it, for all that we learn is bounded but everything is unbounded.

Further examples are divisions of everything into

two perspectives (opposites coexist; all is the same) for structuring existence;
three perspectives (taking a stand; following through; reflecting) for structuring participation;
four perspectives (whether; what; how; why) for structuring knowledge.

I have documented a language of such cognitive frameworks. I call this language Wondrous Wisdom. I appeal to advanced mathematics to substantiate this language. Math 4 Wisdom brings together a community to grow fluent in this language, to clarify, develop, investigate and apply this language, to manifest the wisdom, if any, of this language.

Advanced Mathematics

Wondrous Wisdom

My writings

I study the limits of our imagination, 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.

24 ways of figuring things out.

8 states of mind.

6 transformations of mood.