Chair arms are just chairs for our arms
companies that sell bottled water really sell plastic bottles
Chair arms are just chairs for our arms
abstract just means it only exists in your head
take for example 2 + 3, = 5. this is arithmetic, arithmetic exists on 2 levels, abstract and concrete. If I want to show it in a concrete way, I take 2 apples and 3 apples and put them together and recount them. You can see and feel what 2+ 3 = 5 means. but 2 + 3 is also a an abstract concept, in the sense that you can take 2 of anything plus 3 off anything (lets say galaxies) and have 5 and do this in your head
but what if I say what is the square root of 2 + the square root of 3? there is nowhere in the universe that you can point and say 'there is the square root of 2" , meaning square roots are abstract, they only exist in your head
you can apply square roots to the real world but ultimately the concept of the square root only exists in your head, having the power to manipulate that abstract concept gives you the power to apply it in the concrete world. which is why math is so powerful
So I think what you mean is that as you learned more math you saw how to APPLY math to the real world, but in the end the mathematical concepts and models themselves only exist in your head ie abstract
the other important part of abstract thinking is that it allows you to extrapolate new information and come up with things that did not exist before, these extrapolations are more abstractions. So going higher in math is really about abstractions built on other abstractions
The anatomy of a human arm can be observed via a dead body without having to cut up my own. How can I do the same with time without the use of a quantum centrifuge?"Look at your arm now, you know you got blood and bones and a lot of stuff inside it but unless you open it you can't see it with your eyes
It's the same with the time you can only see the present but inside the present, the past and multiple futures are happening too you just can't see it"
The i
This shyt blew my Mind, iam now a master at manifesting thanks to this piece of knowledge
None of us are gods in any form. Our insignificant lives can be snuffed out in a millisecond and the world wouldn't skip a beat Less than a fraction of a fraction of a fraction of humans on this earth would even care if any of us died right this second
We are organic matter. No more significant to the world then an ant you probably stepped on while walking up to your office door
But what if the entire system as a whole is god. To you it looks like just a bunch of individual organism on the planet but what if we were just parts of a larger organism just like the cells in are body are to us? An individual cell in your body doesn’t necessary understand that you are going to work EVENTHOUGH work is clearly a part of its reality. It’s just that it’s outside of that cell’s reality frame.
Gotcha.
But the concept of a square-root isn't necessarily abstract; it's just a power function with an exponent of 1/2.
We see this commonly in nature, which is why it's common in mathematics.
That's what I meant. Once you go deep enough, all the "abstract" concepts have applicability.
hmm square root is a man made abstract concept that has applications in the real world, there are patterns in nature in which you can apply square roots but square roots don't exist in concrete form
a root is a solution to polynomial equation, a square root is just a solution to a particular polynomial equation x^2
i understand what you are saying, but i think pi and e are better examples of math that is both concrete and abstract
Exactly.
And (one of) the kinematic equations, for example, is a polynomial equation that describes acceleration, which we see all day every day in nature.