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**Just Chat! / Re: Is Category Theory the well of mathematical philosophy**

« **on:**

**Today**at 02:07:55 »

Hi.

On the other hand, the English language is just 26 different characters with some rules on how to combine them - how much more simple can you get? Yet, you can still generate propaganda that will start wars between nations, poetry that can help to end them and works of philosophy that examines the most profound issues of existence. Computers require only two atomic elements, a 0 (or "false", "off", or whatever you wish to call it) and a 1. With that they can capture and display photographs or the audio from an orchestra, or seemingly understand and respond to questions as demonstrated by ChatGPT.

How many different categories or types of structures do you think we would need?

Best Wishes.

Anyways, does anyone here have any interest in this stuffSome interest but not a lot of expertise, sorry.

or some understanding of how far it all goes, this attempt to codify all mathematical objects and relations between them?Mathematicians will always be keen to identify what their most fundamental mathematical objects must be. Physicist's are keen to know what their most fundamental physical object or "atoms" would be, mathematicians are much the same.

or how doing this appears to simplify things considerably, in that mathematics is actually mind bogglingly simple?It is simple and Mathematicians are probably only working with and manipulating a very small class or category of structures, all built from what are probably just a small set of atomic objects.

On the other hand, the English language is just 26 different characters with some rules on how to combine them - how much more simple can you get? Yet, you can still generate propaganda that will start wars between nations, poetry that can help to end them and works of philosophy that examines the most profound issues of existence. Computers require only two atomic elements, a 0 (or "false", "off", or whatever you wish to call it) and a 1. With that they can capture and display photographs or the audio from an orchestra, or seemingly understand and respond to questions as demonstrated by ChatGPT.

How many different categories or types of structures do you think we would need?

Best Wishes.