Learn with me.

Hi everyone,

I’m currently preparing for my next program for school. Part of the requirements include being competent in two English cognates (German and Latin). I also want to have a decent understanding of Hebrew, Koine Greek, Philosophical Mathematics, and Logic before I begin to do well. Because of this I plan to record each lesson). I’m titling the categories “Learn ___ with me” for each subject.

If anyone wants to come alongside me on my journey, I plan to restart all the subjects from the beginning to help me better retain the information. I can’t promise that I’ll get everything right which is why I’d like some “accountability partners” if you will.

Because I am also learning as we go, I will not be going in any strictly logical order. Although this may pose a problem sometimes, I hope that it will provide a more immersive and organic study into the subjects.

If you’d like to be part of this, just hit the “Email Subscription” button on the bottom right of this site or click “Follow” if you are a WordPress user.

Here’s the list of subjects in order of importance (to my program, that is):

  1. German
  2. Latin
  3. Logic
  4. Useful Math
  5. Koine Greek
  6. Hebrew

German is important because of the level of Biblical scholarship that comes out of Germany. Latin is important because of the number of Bible manuscripts written in Latin and its influence on modern languages. Logic is important because of its rigor in drawing responsible conclusions and the Useful Math will be ancillary to that process. Koine Greek and Hebrew are important because they are the dominant languages that the original manuscripts of the Bible were written in.

I have the categories listed at the bottom of this blog to collect the lessons. Just click on each category if you want to catch up. Also, feel free to comment to help correct any mistakes I make. I’m just learning so I’m sure there will be some.

Useful Math: 1. What is a Set?

A set is any collection of things. In math this is usually a collection of numbers. But in the real world this can be a collection of clothing items, car companies, fabrics or anything you can think of.

The main thing to remember is that sets are made of things in common with other things. The set of odd numbers would be 1,3,5,7,9, etc. The set of clothing items would include shoes, t-shirts, jackets, pants, etc.

You can even make a set of (seemingly) totally different things as long as you say they are in the same set. An example would be the set of white chairs with yellow spots and slow runners named Stacy. The only commonalities they seem to have is the fact that they are named as part of that set. However, since the definition of that set contains them, they do have something in common (namely, the definition of the set).

Sets are usually symbolized with these squiggly parentheses called “braces” shown here:

{}

They are also usually given a name symbolized with a single, capitalized letter.

The set of car companies would thus be shown like this:

The set of car companies “C” is {Toyota, Ford, Honda, …}.

The ellipses would indicate the “etc.”

Sets are used a lot in analytic philosophy. This means they are also used a lot in logic, even if they aren’t explicitly symbolized or stated.

Sets, for example, are used a lot in categorical logic. Whenever you categorize a collection of things into a set, you are making a categorical statement. “All brown things have brown in common.” “Some t-shirts have the color red in common.”

This means that sets are really “abstractions” of things. That is to say that we take something a collection of things have in common and “abstract” it by giving them a category title. “Shoes, t-shirts, jackets, pants, etc.” are abstracted into the set called “clothing items.”

The tasks for today are to 1) meditate on what things we intuitively categorize into “sets” in our minds and 2) try to live the next few days with an awareness of when we subconsciously group things into sets.