Mathematics

This mathematics section of Holistic Home Office is designed for me to learn math, as much as it is for teaching anyone else math, by asking ChatGPT and other sources questions, and writing these stories using ChatGPT responses as a primer. And then, continuing to study math from a variety of sources and editing and polishing and updating these stories as I continue learning.

The main reason this is an important subject for Holistic Home Office is to learn business math. Of course, you will be able to use the math to understand any subject you are interested in. You’ll also be using math to understand any computer science you use in your home office.

I’ve been thinking about studying mathematics for a while now. I have even bought some pretty big textbooks about precalculus and advanced calculus. They have been sitting in my book case for a while now, unread.

The math books I have are.

  • Elementary and Intermediate Algebra, (Bittinger, Ellenbogen, Johnson, 2017)
  • Precalculus the Easy Way (Leff, Pawlowski, 2019)
  • a tour of the calculus, (Berlinski, 1995)
  • A Treatise on Advanced Calculus, (Franklin, 1968)
  • Modern Calculus and Analytical Geometry, (Silverman, 1969)

I already read a tour of the calculus many years ago. It is the one book that is written as a story that you can speed read. The others are like a dictionary, full of mathematical formulas that I do not understand.

One of my friends says that you have to do the problems to learn math. Well, I’m kind of in a hurry. I have a ton of research material to read and solving math problems is not very interesting to me.

I want to understand the principles. What do those numbers, Greek letters and mathematical symbols and formulas mean? What are the patterns I need to recognize and understand.

Recently, I bought a copy of The Authoritative Translation of Isaac Newton’s, The Principia, Mathematical Principles of Natural Philosophy, by I Bernard Cohen, Anne Whitman and Julia Budenz. Isaac basically invents Calculus in the book. I figure that if anyone can teach me mathematics, it’s Isaac Newton.

I read most of the Principia and still don’t understand calculus. Most of it was incomprehensible. Book 1, which I presume is were Isaac first described calculus, was incomprehensible. Book 3 was a little more understandable. I could understand planets orbiting the sun and influencing each other. I didn’t really understand the math.

I figure that reading the books and writing these stories will help me understand the math. I’m probably going to have to do some math problems. I asked ChatGPT a bunch of question and have made several stories with the answers. I’ll learn a lot about math by editing and polishing the stories.

Part of the problem is knowing what questions to ask. Were do I start? What are the important questions? I’ve studied math quite a bit over the years. I’ve got to figure out what story the numbers are telling. Stories are interesting.

I talk and write a lot about the rule of law in the stories on this website. Freedom is lawful. Language is the most primal rule of law in human consciousness. There is natural law and the divine rule of law. Natural law is a subset of the divine rule of law. Mathematics is a very important dimension of the rule of law governing natural history.

Studying mathematics is a valuable activity for anyone wanting to work in any field of business. It is going to take self-discipline. I will write some stories, using ChatGPT, about mathematics and post them in this section. I figure that writing the stories will help inspire me to continue the work, even though it seems like a distraction from what I really want to learn.

Math is not my favorite subject. I’m interested in it because it’s kind of a prerequisite for studying financial intelligence, computer science and neuroscience, which I am very interested in. I’ve noticed that reading the books is insufficient. You have to practice solving some of the problems, in order to learn the mathematical principles.

It will almost certainly help me understand computer science, which I have struggled to understand, so far. I’ve also been wondering, where is the best place in the website to put stories about mathematics? Right in front? I don’t want to distract you from the business law, computer science and art that is the real topic of the website.

Learning math will help you understand the finances of your free enterprise. It will help you understand the computer science. Math is the rule of law, underlying natural history. Understanding the principles of mathematics will help you understand the natural laws governing all natural history. I will work on making this section a selection of stories that make it as easy as possible to learn math.

There is a lot of repetition in the section, which is a good thing. Just read through all the stories and let the result be what they are. Pay attention to the patterns. There is a mathematical structure of natural history.

Get familiar with that structure, to improve your understanding of the intellectual landscape we are all living and working in. Other than your faith, understanding mathematics is about as close to perceiving objective reality as you can get. 2 + 2 = 4, no matter what your subjective perspective is.

A Mathematical Alphabet

Here’s a list of the Greek alphabet, including both uppercase and lowercase letters, along with their English transliterations:

Α, α – Alpha
Β, β – Beta
Γ, γ – Gamma
Δ, δ – Delta
Ε, ε – Epsilon
Ζ, ζ – Zeta
Η, η – Eta
Θ, θ – Theta
Ι, ι – Iota
Κ, κ – Kappa
Λ, λ – Lambda
Μ, μ – Mu
Ν, ν – Nu
Ξ, ξ – Xi
Ο, ο – Omicron
Π, π – Pi
Ρ, ρ – Rho
Σ, σ/ς (final sigma) – Sigma
Τ, τ – Tau
Υ, υ – Upsilon
Φ, φ – Phi
Χ, χ – Chi
Ψ, ψ – Psi
Ω, ω – Omega

The Greek alphabet has been used since the late 9th or early 8th century BC and is the ancestor of many other alphabets, including Latin and Cyrillic. It’s used in many fields today, such as mathematics, science, engineering, and fraternity and sorority names.

Mathematical formulas use a wide range of symbols to represent operations, relations, and other concepts. Here’s a list of common mathematical symbols and their meanings:

  1. + (Plus Sign) – Addition
  2. – (Minus Sign) – Subtraction or Negative
  3. ×, * (Multiplication Sign) – Multiplication
  4. ÷, / (Division Sign) – Division
  5. = (Equal Sign) – Equality
  6. ≠ (Not Equal Sign) – Inequality
  7. < (Less Than Sign) – Less than
  8. > (Greater Than Sign) – Greater than
  9. ≤ (Less Than or Equal To) – Less than or equal to
  10. ≥ (Greater Than or Equal To) – Greater than or equal to
  11. ( ) (Parentheses) – Grouping of terms or operations
  12. [ ] – Grouping of terms or operations, often used within parentheses
  13. { } (Braces) – Set notation or grouping in more complex expressions
  14. √ (Square Root Sign) – Square root
  15. | | (Absolute Value Sign) – Absolute value
  16. ∑ (Sigma) – Summation
  17. ∏ (Pi) – Product notation
  18. ∫ (Integral Sign) – Integral
  19. d/dx (Derivative Sign) – Derivative with respect to x
  20. ∂ (Partial Derivative Sign) – Partial derivative
  21. ∞ (Infinity Sign) – Infinity
  22. ∈ (Element Of) – Element of a set
  23. ∉ (Not an Element Of) – Not an element of a set
  24. ⊂ (Subset Of) – Subset
  25. ⊄ (Not a Subset Of) – Not a subset
  26. ∪ (Union) – Union of sets
  27. ∩ (Intersection) – Intersection of sets
  28. ∃ (There Exists) – Existential quantifier
  29. ∀ (For All) – Universal quantifier
  30. ⇒ (Implies) – Implication
  31. ⇔ (If and Only If) – Bi-conditional
  32. ∇ (Nabla/Del) – Gradient or del operator
  33. ℝ (Real Numbers) – Set of real numbers
  34. ℤ (Integers) – Set of integers
  35. ℚ (Rational Numbers) – Set of rational numbers
  36. ℕ (Natural Numbers) – Set of natural numbers
  37. ℂ (Complex Numbers) – Set of complex numbers

These symbols are the building blocks of mathematical notation, allowing for the concise expression of mathematical concepts and operations.