As a structural philosopher, I want to say thank you, Paul, for your well-written article (I cannot write this well).
As I see it, the existence of the human mind is the groundwork for all that you write about, but do not write about itself. The instrument to conceptualize all this must be included in the outcome, made obvious in the work.
That is not easy, but if we lean on structure as the way for delivering the message, then there are options. The main point I would bring is that with mathematics there is a realm in which the human brain can capture more than what can be considered logical.
In other words, there are two realities: the material world and the abstract world in which we must place fabrications such as words, numbers, money, paintings and anything created with computers. Next to the material world, there are artificial creations that are highly beneficial and we can’t get enough of them.
The Big Picture is the introduction article to a ten-article series I wrote about the human brain, and about one fallacy in particular: we can create artificial structures. Simply put, there are two kinds of structures: the real ones and the artificial ones, and people have a hard time making the distinction between both. If we don’t make the distinction, then the whole of reality (that includes real and artificial realities) can be very hard to comprehend because we may tag the whole on an incorrect structure.
I hope you want to read at least the introduction (yes, apologies, I am not as skilled of a writer as you are).
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I like that you call out zero as a natural number. You must be a set theorist. Number theorists (the majority of mathematicians, I’ve been told) do not consider zero a natural number. I am curious if you like my evidence about the mathematical building blocks that declares zero to be a natural number indeed.
Yes, I am a simple soul. I write the best I can; you will have to do your best capturing the essence.
Thank you again for your article. I am going to read it again. I love putting structure at the top of the pyramid of everything because it is the perspective on the truth that is the most valuable, indeed above all other.
