Book

Math

Discovery

Andrius Kulikauskas

  • ms@ms.lt
  • +370 607 27 665
  • My work is in the Public Domain for all to share freely.

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Software

Platonas

Relating Plato's Republic and Investigating Questions

  • 1) Introducing the question: What is justice? Preliminary discussion. Looking for contradictions.
  • Chapter 3? Robert Horn: Visual language. Gamestorming. Working together.
  • 2a) Thought experiment: Imagining extremes. Is it better to be just or to seem just?
  • Stepping in and stepping out. Truths of the heart and truths of the world. Emotional responses. Counterquestions. Needs, operating principles.
  • 2b) Thought experiment: Analogy of a person and a city. How does justice arise?
  • Using the relevant data.
  • 3) Subquestion: What mindset, what training is required for justice
  • Training required for deepest value, and for thinking.
  • 4) Drawing a principle from a structure: Identifying justice in the structure of the city
  • Chapter 4? The quality without a name. Structuralism: how to talk about absolutes. Finding a place to start: (Descartes - doubting). Everything. Divisions of everything: twosome, threesome, foursome. Many examples, especially the importance of the three-cycle in investigation (I think therefore I am). Representations.
  • 5) Facing challenges to radical ideas: A) Equality of men and women. B) Children raised by the state. C) State ruled by a philosopher.
  • Natalie d'Arbeloff. Hands-on work. Circle folding. The kinds of opposites.
  • 6) Describing the basis of a radical idea: the abstract thinking required for the study of the Good.
  • Beauty as a guide in mathematics. Mandelbrot set vs. Simplex. Twelve topologies (and Kant's twelve categories). Fifteen principles of life. Wholeness transformations.
  • 7) Explaining what makes the radical idea difficult: the story of the Cave.
  • Context. Plato's Republic: cave. Obstacles by the system we live in (Alexander, Saranka). Plato's microscope. Buckminster Fuller - poet-prophet. Talking to the Universe.
  • 8) Understanding deviations that make the idea unusual: the unjust cities.
  • Chapter 5? Patterns: structure/activity/tensions. How to document them. How they come together in a pattern language.
  • 9) Comparing the extreme cases: the philosopher and the tyrant.
  • Six visualizations: Morgan D. Jones. Software tools for Thinking. Unified Modeling Language. Paradoxes.
  • 10) Drawing conclusions about human nature based on what we've learned about our weaknesses. And new questions!
  • Chapter 2? Buckminster Fuller's question? Deepest values. Investigatory questions. The method of classifying and organizing.
  • Chapter 1 Philosophy (unsolved riddles), technology (solved riddles) and science (solutions). Philosophy as the pursuit of wisdom about life. Existentialism as our situation in life. Do we know ourselves: What is our deepest value in life? Are we growing further: What is a question that we will investigate? Will consider ways of figuring out. Start with Christopher Alexander's practical question: What makes a building alive? Phenomenology: Can we agree on what is "alive"? Go through Alexander's examples.
  • Creativity in Math. The general example of how we figure things out. Overview of a system of the ways of figuring things out. Compare with Descartes' universal problem solving.
  • Stephen Toulmin: Uses of Argument. Heidegger's world, Aristotle's techne, Plato's know-how. TRIZ. Other examples of the comprehensive system of figuring things out.
  • Ethics: The Algebra of Copyright. Stating more broadly the whole system of ways of figuring things out.
  • Conceptual revolutions: "The Astronomical Distance Ladder by Terrence Tao" (watch together).
  • A future revolution? Automata. Stephen Wolfram.

Organizing examples of what is unjust and what is just. Categories:

  • People have to suffer without a reason.
  • Lack of equality.
  • Greed: You gain, they lose, you don't care.
  • Not being helpful.
  • Hurting people because they are good.
  • Don't treat others with dignity.
  • Treating others badly for fun.

LIFE - meaning of life, death, capital punishment, failure, social status

  • WHY: What is the point of living? What is the most important thing in life?
  • HOW: What should be the goal for your life? If I fall then what should I do?
  • WHAT: What does success actually mean? What is death and when is death just?
  • WHETHER: Is it worse to fail at something or never attempt in the first place?

KNOWING consciousness, truth, integrity, authenticity

  • WHY: Is living by the truth essential?
  • WHAT: What is the requirement for having awareness? What is truth?

HAPPINESS happiness, eudaimonia, social status, philosophy of happiness

  • HOW: What is the best way for a person to attain happiness? How to be happy and how to make other people happy?
  • WHAT: What does it mean to live the good life?
  • WHETHER: If money can't buy happiness, can you ever be truly happy with no money?

RIGHT & WRONG ethics, peer pressure, social justice, social equality

  • HOW: How to be a good person? How does the majority affect us?
  • WHAT: What is wrong and what is right? What is right and what is wrong?
  • WHETHER: Is equality possible?

quotes, podcasts, videos, ted talks

Midterm: November 13, Final: December 11

  • Facts of real life <=> Language of absolute truth (Give example of thinking in 4D).

Ask Why? you are asking your question.

Find a philosopher who wrote about your question.

Wisdom not interested in anything less. Problem of society - different than the wise man. Warning: Not listening to society but listening to the facts and abstracting from them.

Philosophy


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Puslapis paskutinį kartą pakeistas 2017 spalio 17 d., 22:47
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