The comments are full of drivel, but I’ll pick this one to respond to as you sound educated and able to re-formulate concepts but lack open-mindedness and novel application of concepts. Plus, your response is full of institutional verbage, first level thinking, shallow understanding, which sounds great to the uneducated and low IS posters, but doesn’t even pass the first test so it easy to disassemble.

1 + 1 = 2 isn’t an axiom, it’s math, equality, and true. This is exactly what the perspective point I was trying to make! Truth itself cannot be axiomatic! This is so self-evident it is hard to comprehend how your education can lead you to one of the largest fundamental misunderstands in Science, but I guess that is not surprising. I mean, your post is a testament to misunderstanding reality, an reference to be studied in the future of post-Idiocracy. It in fact provides a broader understanding of post comments, Lemmy, and social media in general.

My definition as I understood it before looking it up is an axiom is a logical statement true on it’s face that serves as foundation for another step. Let us look at the some definitions for Axiom.

Tutors An axiom is a basic statement assumed to be true and requiring no proof of its truthfulness. It is a fundamental underpinning for a set of logical statements. Not everything counts as an axiom. It must be simple, make a useful statement about an undefined term, evidently true with a minimum of thought, and contribute to an axiomatic system (not be a random construct).

Mathigon One interesting question is where to start from. How do you prove the first theorem, if you don’t know anything yet? Unfortunately you can’t prove something using nothing. You need at least a few building blocks to start with, and these are called Axioms.

Wikipedia An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments. The word comes from the Ancient Greek word ἀξίωμα (axíōma), meaning ‘that which is thought worthy or fit’ or ‘that which commends itself as evident’.[1][2]

Wolfram An axiom is a proposition regarded as self-evidently true without proof. The word “axiom” is a slightly archaic synonym for postulate. Compare conjecture or hypothesis, both of which connote apparently true but not self-evident statements.

You may use first level thinking about Propositions so to avoid more non-sense here is an another explainer.

University of Idaho

Harvard

Let me hammer it home again, the principle of my argument, to give you repeated attempts to understand and forego your ego 1 + 1 = 2 cannot be a proposition, an axiom, and proof, a logical statement that evaluates to true, it is already true and by definitions above it is:

• Defined
• Does not serve to prove a logical statement
• Does not serve as further reasoning.

Saying 1 + 1 = 2 serves as foundation for something else is like saying my car accelerates because of motion or momentum which is generic, imprecise, not a proof, and worthless. Movement is already motion. Your car accelerates because of a gas engine. Again, please think deeply about this, no shallow thoughts. What I’m trying to do is go beyond and surpass common knowledge, to push the envelope further than before using the scientific method to challenge old constructs.

I would challenge any Mathematician anywhere and I meant to. 1 + 1 = 2 is what is, a truth, true, fundamental building block of all things and requires no reasoning. If a toddler picks up another stick, it knows it has two whether it can convey that thought-form in a way we understand it or not. Saying 1 + 1 = 2 is Axiomatic is like saying Oxygen is an axiom or axiomatic. To further build the periodic table. No, Oxygen just is, a fundamental piece of reality which is also true! Maybe someone will understand in the future.

My aim was to put this comment up for posterity as wasting more time here is fruitless so don’t take it personally really, I just used your most educated and almost right post as an example of how that if intellectual debate is to be sought, it certainly isn’t on Lemmy which is I would say mediocre at best, and in fact, one is surely to get misinformed, ugly responses.

I will use all the debate that went on in my head in trying to combat this circus into a proper Academia.edu Paper. Really, my whole point was the second part of my post where I thought it was quite clear the logical conclusion to which would be that programming lanaguages need to be re-engineered! No one even put that together that I saw!

I skipped all the mean comments.