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/sci/ - Science & Math

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10487081 No.10487081 [Reply] [Original] [archived.moe]

Is it possible to conceptually understand any model without learning how to do the math?

>> No.10487083

>Is it possible to conceptually understand any model without learning how to do the math?
Why don't you try it and find out?

>> No.10487122

No, there are plenty of mathematical models which are far beyond words. Take an easy example like string theory. I don't give a shit what you say, conceptualizing 9 spatial dimensions is impossible.

>> No.10488091

To a shallow and impractical level, yes it is.

>> No.10488094

>conceptualizing 9 spatial dimensions is impossible
true even when you can do the math

>> No.10488104

Can you kick a football and know where it'll land without knowing the maths behind it?

>> No.10488119

That's because it's horseshit with no foundation in reality

>> No.10488173


>> No.10488182
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1+1 = cheatos

>> No.10488191

thats what calculus notation offers to average brainlets.

maybe in the future somebody will invent easier notation for advanced physics or algebraic geometry and it will be tought in high school.

>> No.10488235

Seeing as every model IS math, no it's not possible

>> No.10488240

Yes but math saves a lot of time/awkward wording and most concepts will eventually lead to a lot of math work regardless

>> No.10489959

physicists do it all the time lol

>> No.10491360

Is it possible to conceptually understand poetry without learning how to do the language it's crafted in?

>> No.10491442

Mathematical models are used to represent mechanisms in the world. Conceptual understanding is about understanding those mechanisms, not the model itself.

Poetry however is about language itself, so it's not comparable.

>> No.10491488
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But how do you understand the concept without placing it in a model?

>> No.10491606

If you play around with games like universe sandbox for a while I think you'll have a pretty good understanding of how the force of gravity works, without ever knowing that F=Gmm/r2.

>> No.10491629

Ah yes, if only there was a term for a "pretty good understanding" of something based off of observation.

I think it's reasonable to argue that you'd simply be picking up a less precise model of gravity in your head through messing around with universe sandbox.

>> No.10491645
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Name ONE model that can't be understood by description and analog alone

>> No.10491646

Math just reflects how the model functions, so yes.

>> No.10491647


>> No.10491654

Yes. Michael Faraday discovered key concepts about electricity and magnetism despite having almost no formal education and being almost entirely self-taught. Despite his ground-breaking experiments, Faraday struggled with algebra and thus relied on a close partnership with James Clerk Maxwell to formalize his discoveries.

>> No.10491659

Description and analog is a model for understanding.

>> No.10491681
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I'll offer you a counterquestion as well. Name something that can be understood without models.

>> No.10492914

This is because we've developed to model things like that as a survival mechanism. This helps with a system whose components happen to resemble those of our interpreted environment but won't get you very far with anything beyond that, in particular when your intuition starts to let you down (e.g. countability of rationals, well-ordering theorem).

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