Geometric algebra and the scientific method

@WhiteEyes here is the problem:

The purpose of religion in human society is entirely different from the purpose of science for us.

First of all, you have to consider what is the purpose of language is in its context. We’re using language to express something to other humans in a context.

Purpose of religious language is to construct a context within other people. What is the purpose of the linguistic context? The purpose of it is to deal with the inquiry of how human individuals and society behave in the greater context of the world.

Religious inquiry constructs a context within which to ask and answer questions about how humans behave in the context of the world and other beings.

Scientific inquiry is an entirely different linguistic context with a different purpose. It’s to communicate and construct a context within which to ask and answer empirical questions about objects in world.

In science, we do not inquire about what is the correct moral behavior for a human being, because these things are dependent on cultural context. In some cultures it is socially acceptable to behave this way or that way, in other cultures inappropriate.

Science is not like this. when science is communicated, it should always be interpreted in the same way by every interpreter. It is independent of cultural context or morality.

You are confusing science and religion. By combining science and religion, you will muddy the waters of science and muddy religion also.

By inserting cultural dependent references and terms into science, you are making science context dependent on being in a particular culture. This means that your science might be inappropriate in another different culture, due to conflicting context on what is socially acceptable in that culture.

Furthermore, neither scientists nor religious people will take you seriously, because your science is mixed up with culturally dependent contexts, and the cultural context of some other religion is now incompatible with your idea of religion.

So you’re not going to get very far with this, among other reasons. There’s a lot of reasons why confusing scientific contexts with cultural religion context is going to lead to getting nowhere.

I am not really concerned with what is “socially acceptable” in science and “religion”,
My project is about rephrasing, highlighting and reviving what others has said before me to the best of my ability. I’ve quoted grassmann, and proclus, and referred to many books. I dont feel this discussion is leading anywhere. So we end it here.

I am also not concerned with what is socially acceptable.

I’m just letting you know that you will get nowhere with this.

You are of course welcome to do something which will get you nowhere, just as I am doing.

Blockquote
“…i was wondering if there is any possibility of opening study programs based geometric algebra from the ground up. If not at a full university level maybe a shorter application focused s.t.e.m. stem program, and if there are any ideas on what can be done about it, finance-wise or in any other way.”

It is now 2024 and biVectorDOTnet is not alone in doing something about it by generating resources for Geometric Algebra study programs.

I have not yet seen a Brilliant.org interactive course on Geometric Algebra but STEMCstudio works with Geometric Algebra and David Geo Holmes has YouTube videos
about Geometric Algebra using STEMCstudio.

I found this recently: https://geometricalgebratutorial.com/

It’s interactive like W3schools live examples which can be a bit passive but it’s a pretty good start. I need to go through it more thoroughly but it looks a bit old-school in terms of the linear presentation of reading material. I would like to see an ASK™ hypermedia system and GeoGebra or Brilliant.org-type interactivity.

jimsmithinchiapas has GeoGebra material on Geometric Algebra.

I’m currently looking into using CoCalc. (Jupyter notebook Geometric Algebra Research.ipynb, How to use the galgebra (Geometric Algebra) package at CoCalc.)

There are several people like sudgylacmoe that are creating high quality Geometric Algebra educational short videos on YouTube.

There are many old-school lectures on the biVectorDOTnet site that can be followed using the Gangajs Coffeeshop.

There are several YouTube channels providing educational Geometric Algebra videos of varying length.

  • David Geo Holmes YouTube channel, Geometric Algebra First Course and STEMCstudio

  • Alan Macdonald YouTube channel and Luther College website

  • Pre-University Geometric Algebra Videos - Geometric Algebra for High-School Students and Teachers

Websites with lecture notes etc.
University of Cambridge Geometric Algebra - Introduction to GA, Geometric Algebra 2016 lecture course

The Geometric Calculus R&D website is now back online on the David Hestenes archive.

NOTE: MIT OpenCourseWare has a 1976 Applied Geometric Algebra Course by László Tisza online but it does not use the unified notation developed by David Hestenes and others. David Hestenes tried to appropriate the name “Geometric Algebra” for his unified formalism (that incorporates spinors, tensors and differential forms) to distinguish it from Clifford Algebra. However, for many people Geometric Algebra is just another name for Clifford Algebra and there are even books out now with the title “Geometric Algebra” that have nothing to do with Clifford Algebra so it can be confusing.

1 Like

@Paul_Gowan many of those sources are people barely know what they’re talking about, but decided to try and be popular on the internet, so watch out.

Even people like Chris Doran and Leo Dorst barely know what they’re talking about, given their intentional ignorance when confronted with proofs.

Personally, I have gotten 100% confident in my Grassmann-Clifford-Hodge foundation because I very thoroughly implemented it and verified it with proofs. And if I’m wrong, You can confront me and either I will disprove you or fix my mistakes.

Many people making videos or articles on the internet have not spent the necessary 10 years of mathematical preparation to be a proper teacher on nuanced definitions in this topic, which are easily confused or mistaken due to the high amount of incorrect or sloppy papers / books out there.

Currently, the various teaching materials, especially from people trying to be “popular” … are not all correct and contain fundamental errors.