It seems that 2 + 2 = 4 is also an assumption for you.
Yes (albeit a very reasonable one).
Not believing (some version) of that claim would make typically make minds/AGIs less “capable”, and I would expect more or less all AGIs to hold (some version of) that “belief” in practice.
I don’t think it is possible to find consensus if we do not follow the same rules of logic.
Here are examples of what I would regard to be rules of logic: https://en.wikipedia.org/wiki/List_of_rules_of_inference (the ones listed here don’t encapsulate all of the rules of inference that I’d endorse, but many of them). Despite our disagreements, I think we’d both agree with the rules that are listed there.
I regard Hitchens’s razor not as a rule of logic, but more as an ambiguous slogan / heuristic / rule of thumb.
Like with many comments/questions from you, answering this question properly would require a lot of unpacking. Although I’m sure that also is true of many questions that I ask, as it is hard to avoid (we all have limited communication bandwitdh) :)
In this last comment, you use the term “science” in a very different way from how I’d use it (like you sometimes also do with other words, such as for example “logic”). So if I was to give a proper answer I’d need to try to guess what you mean, make it clear how I interpret what you say, and so on (not just answer “yes” or “no”).
I’ll do the lazy thing and refer to some posts that are relevant (and that I mostly agree with):
I cannot help you to be less wrong if you categorically rely on intuition about what is possible and what is not.
I wish I had something better to base my beliefs on than my intuitions, but I do not. My belief in modus ponens, my belief that 1+1=2, my belief that me observing gravity in the past makes me likely to observe it in the future, my belief that if views are in logical contradiction they cannot both be true—all this is (the way I think of it) grounded in intuition.
Some of my intuitions I regard as much more strong/robust than others.
When my intuitions come into conflict, they have to fight it out.
Yes (albeit a very reasonable one).
Not believing (some version) of that claim would make typically make minds/AGIs less “capable”, and I would expect more or less all AGIs to hold (some version of) that “belief” in practice.
Here are examples of what I would regard to be rules of logic: https://en.wikipedia.org/wiki/List_of_rules_of_inference (the ones listed here don’t encapsulate all of the rules of inference that I’d endorse, but many of them). Despite our disagreements, I think we’d both agree with the rules that are listed there.
I regard Hitchens’s razor not as a rule of logic, but more as an ambiguous slogan / heuristic / rule of thumb.
:)
So this is where we disagree.
That’s how hypothesis testing works in science:
You create a hypothesis
You find a way to test if it is wrong
You reject hypothesis if the test passes
You find a way to test if it is right
You approve hypothesis if the test passes
While hypothesis is not rejected nor approved it is considered possible.
Don’t you agree?
Like with many comments/questions from you, answering this question properly would require a lot of unpacking. Although I’m sure that also is true of many questions that I ask, as it is hard to avoid (we all have limited communication bandwitdh) :)
In this last comment, you use the term “science” in a very different way from how I’d use it (like you sometimes also do with other words, such as for example “logic”). So if I was to give a proper answer I’d need to try to guess what you mean, make it clear how I interpret what you say, and so on (not just answer “yes” or “no”).
I’ll do the lazy thing and refer to some posts that are relevant (and that I mostly agree with):
Where Recursive Justification Hits Bottom
Could Anything Be Right?
37 Ways That Words Can Be Wrong
I cannot help you to be less wrong if you categorically rely on intuition about what is possible and what is not.
Thanks for discussion.
I wish I had something better to base my beliefs on than my intuitions, but I do not. My belief in modus ponens, my belief that 1+1=2, my belief that me observing gravity in the past makes me likely to observe it in the future, my belief that if views are in logical contradiction they cannot both be true—all this is (the way I think of it) grounded in intuition.
Some of my intuitions I regard as much more strong/robust than others.
When my intuitions come into conflict, they have to fight it out.
Thanks for the discussion :)