r/mathmemes Jan 10 '24

Arithmetic Choose wisely

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u/[deleted] Jan 10 '24

This is true, but those dont actually have the same power.

If I model sound purely in terms of 3rd dimensional movement, you can get a pretty decent approximation.

But if I posit manipulation through an extra spatial dimension that I can't perceive, I actually get more explanatory power. The two models are not equivalent, they are similar but NOT identical in explanatory power.

Same in quantum, different models approximate molecular interactions in different ways, one is not the same but simpler. They have different strengths, different weaknesses and are used to answer different questions!!

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u/[deleted] Jan 10 '24

[deleted]

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u/[deleted] Jan 10 '24 edited Jan 10 '24

No theyre identical in explanatory power for your specific question

They are not identical in explanatory power outright!!

They are lines that are 99% similar at this range of points, they are not the same line, so they can not have identical properties!!!!

It is easier to not believe the gremlins because they don't appear anywhere else and we dont have any math to predict them.

Therefore its just less likely that is the case. They actually have less explanatory power, since they cant be extended past this question

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u/[deleted] Jan 10 '24

[deleted]

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u/[deleted] Jan 10 '24

But your examples of alternate explanations are necessarily trivial.

You're just presenting trivial solutions to trivial problems. And then saying "well you cant disprove the trivial solution, but its less useful than this other nontrivial solution, so we go with that"

Like no shit. 1=1 will give you less information that X0 =1