Notes Contact Andrius Kulikauskas ms@ms.lt +370 607 27 665 Eičiūnų km, Alytaus raj, Lithuania Support me! Patreon... Paypal to ms@ms.lt Bookshelf Thank you! Upload 2021.06.02 In a few months, I hope to start producing videos presenting math for wisdom. Here I am writing out thoughts for my first video, an introduction of my intentions for Math 4 Wisdom. I am thinking of doing a 3 minute version and a 20 minute version. Summary of goals Address the shortage of materials for appreciating, contemplating, exploring advanced mathematical topics and especially, gaining a sense of the big picture. A sort of guide for mountain climbers. Show the usefulness of wisdom as a guide in making sense of mathematics and the relevance of various mathematical topics to expressing wisdom. A bit like an alternative reality for wizards except its real - Jesus, Buddha, Mohammed, Harry Potter. Show the reality of cognitive frameworks. Way to engage those who might work together. Find support and income to get by. General idea of my philosophy Relate the definite and the indefinite. Math is most definite. So show how the indefinite relates. For example, how axiomatic mathematics is inspired by nonaxiomatic premathematics. General approach Ways of figuring things out in math. Goals for math Overview all of math - the areas, concepts, questions, results... Identify and appreciate the key concepts behind mathematics. Understand and apply the nature of mathematical beauty. Cognitive frameworks Language of absolutes ABC's - twosome, threesome, foursome List examples of topics that I will explore and Bott periodicity and the eight-cycle of divisions of everything. SU(2) and transformations of mood. 4 classical Lie families and 4 geometries. Six visualizations and paradox. Yoneda lemma and the foursome. Sheffer polynomials, quantum physics and the fivesome. Adjunctions and divisions of everything. Grothendieck's six operations, the natural bases of the symmetric functions and the six representations. Yates Index Theorem, the jump hierarchy and the foursome. Godel's Incompleteness Theorem and the three-cycle. {$F_1$} and God's going beyond himself. Seven-eight kinds of duality. Shu-Hong's equation and the sevensome. Norman Anderson's theory and modeling thinking fast and slow. Ways of figuring things out in other fields: neuroscience, chess, physics, biology, Jesus, Gaon of Vilna, my philosophy. Goals for Math 4 Wisdom Express my concepts in terms of math. Show that my concepts are relevant and fruitful in math. Present a language for Foster a community. Goals for wisdom Main ways the indefinite is important. Solve technical issues. Relate different houses of knowledge. Goals for language Create a language for working together as a scientific community. I look to math as a standard of truth for such expression, for such a language. Goals for community Support inclusive harmony of self-realization of all people - "meaningful inclusion". Shared question, "How to love each other more" Sharing life experiences, deepest values, investigatory questions, etc. My personal goal is to express myself fully as I wish for others as well. So I am expressing myself through arts and with examples from all of life. Elementary examples Amounts and units. Combine like units, list differing units. Type theory. Comparing the price of a sandwich {$\frac{4}{3}\frac{2}{3}=\frac{8}{9}$} as illustrating that algebra is thinking step-by-step. Trigonometry: Every rectangle is half a triangle. Extending the domain.
Šis puslapis paskutinį kartą keistas June 03, 2021, at 08:27 AM