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That's the problem with logic, you can make up any logic you want. Axioms are not reliable either. Non-Euclidean geometry shows this. The mind is able to overturn all statements and turn them into the opposite (remember Kant).
there was a show called Caprica where the AI was trained in the same way. I recommend to everyone to watch it, until the final episodes, when it was urgent to dump it. It was shut down (not because of AI problems, there are other painful issues still in full swing).
That's the problem with logic, you can make up any logic you want. Axioms are not reliable either. Non-Euclidean geometry shows this. Reason is able to overturn all statements and turn them into the opposite (remember Kant).
Peter, your main problem is that you're not a reader. Everything is fine with non-Euclidean geometry - it is built on axioms and everything necessary is proved.
It is not suggested to build morality on axioms, because it is idiocy forgivable only in the times of Spinoza. On the contrary, it was about building axioms on the basis of awareness of morality and reflection on it - people are different in that they can comprehend the forces that drive them, not just mindlessly follow them.
Philosophy serves as a reminder that we should always ask what we are doing, for what purpose and with what tools, and not just throw around meaningless words under the influence of momentary emotions.
Any logic relies on axiomatics, which are accepted without proof and are external to the logic itself. ....
... You can make up almost any logic - for example, for Aristotle, the founder of logic, slaves were, by definition ...
The bottom line is that there must be a system of axioms that fits our general state of morality and culture....
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To summarise, there should be a system of axioms, which is suitable for our general state of morality and culture. And already on the basis of this system to make logical conclusions about the presence or absence of reason in people, animals and machines.
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It is not suggested to build morality on axioms, because it is idiocy forgivable only in the times of Spinoza. On the contrary, the speech was about building axioms on the basis of realisation of morality and reflection on it - people are different in that they can comprehend the forces that drive them and not just mindlessly follow them.
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Tell me how to understand you.
That is, according to your logic, axioms should serve the morality that suits us, justifying it by their special status. That is, ourselves.
It seems that in maths, axioms cannot be invented or "constructed".
Those are your talking points. Not mine.
That is, signs do not prove a fact, but a fact cannot be proved without signs. Paradox.
It is probably worth dividing logic into mathematical logic (absolute, based on axioms) and everyday, human logic.
The essence of an axiom makes it inapplicable in morality, ethics. Axioms do NOT exist in them, and neither does mathematical logic.
Then we must admit that the "logic" that exists in ethics is not logic in its pure form (as in mathematics), but a fake. That is, there is no logic in ethics, and this is quite logical, given that there are no axioms supporting it (because ethics is not maths).
However, such conclusions can lead to anarchy and the collapse of society. So, let's use fake "moral" axioms and somehow justify the flawed but humane logic.
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That's what it's all about :)