The thing is that it follows from our definitions that 0.999… IS 1 (try and take the limit I mentioned), they are the same numbers. Not just really close, they are the same number.
You cannot use the outcome of a proof you’re validating as the evidence of the validating proof. Prove that the limits work without a presumption that 0.999… = 1. Evaluate a limit where there’s a hole in the function for 1… then prove that 0.999… also meets that hole without the initial claim that 0.999… = 1 since that’s the claim we’re testing.
The issue here is that you don’t understand functions, limits, base expansions of numbers or what the definition of notation like 0.999… actually is.
So you you tell me I don’t understand things… when you’ve not provided proof of anything other than just espousing that 0.999… = 1.
And I know how to work with floats in a programming context. It’s the programming context that tells me that there could be a case where the BASE10 notation we use simply does “fit” the proper evaluation of what 1/3 is. Since you know… Base12 does. These are things I’ve actually already discussed… and have covered. But you’re cherry picking trying to make me look dumb when instead you’ve just added nothing to the conversation.
You cannot use the outcome of a proof you’re validating as the evidence of the validating proof. Prove that the limits work without a presumption that 0.999… = 1. Evaluate a limit where there’s a hole in the function for 1… then prove that 0.999… also meets that hole without the initial claim that 0.999… = 1 since that’s the claim we’re testing.
So you you tell me I don’t understand things… when you’ve not provided proof of anything other than just espousing that 0.999… = 1.
And I know how to work with floats in a programming context. It’s the programming context that tells me that there could be a case where the BASE10 notation we use simply does “fit” the proper evaluation of what 1/3 is. Since you know… Base12 does. These are things I’ve actually already discussed… and have covered. But you’re cherry picking trying to make me look dumb when instead you’ve just added nothing to the conversation.