If mathematics and logic are descriptions of reality but are independent of it, are there mathematical/logical concepts that do not physically exist in our universe?

Bart Molenaar already said ‘ yes ‘ with an example.

Indeed, there are many concepts in mathematics and logic that have no direct or even no correspondence with our perceived world.

How does that come about?

Because mathematics and logic are ‘ languages ‘ in which we express ourselves.For example, there are also many words in speaking languages that are not directly related to concrete matters.

There are infinitely many mathematical/logical concepts that do not physically exist in our universe.Take a simple example in our universe is [mathe = 1/2 m c ^ {2} [/math no Reality (but a wiskudige formula/concept that you can make statements about) is just as Small [mathe = 1/3mv ^ 2-c ^ {2} [/math a Reality, or [mathe = M \\frac{c ^ {3}} {v} [/math a reality.For instance, I can invent endless mathematical formulas and models that have nothing to do with our universe and the not the real relationship between mass and energy, formulated by Einstein as [Mathe = mc ^ {2} [/math, Express.With mathematics alone you cannot make any physical claims. You need to know physics and have experimental facts to choose the one that describes the reality from all possible mathematical models. And that’s the difficulty. The mathematics of your model can still be so correct and beautiful, if it does not do the right physical predictions, then a physicist throws it into the garbage.

Yes.For example, the root from a negative number (i = root (-1).
This can be counted well, but in reality a product of 2 (real) will never yield a negative number.
So far as I know I do not exist in the real world

Mathematics and logic are not in themselves descriptions of reality.They are merely formal systems that can be used to describe reality. They can be used just as easily to describe unreality. Try to separate mathematics from physics and other applied sciences. These forms of science often use mathematics and logic to formalize things, but are not part of mathematics as much as the other way around.

There are whole disciplines in mathematics that deal with mathematical concepts that have not been known to date any application. They are being studied in the hope that they can ever be used in an area of application or because they contain interesting truths about mathematics themselves.Or sometimes even because the mathematicians find it a nice brain breaker:)

You might think of numbers that are larger than there are “particles” in the universe.

Mathematics can be used in various forms to describe a real condition I Kwaderaat = minus 1 is an example of this.But in this respect: there was such a thing as logic in mathematics, with all sorts of situations with a mathematics that took into account negation, or and and States and so on. When that part of mathematics was conceived, it really didn’t get anywhere. It was an attempt to convert language to math or something. Nowadays it is used as a basis for ICT. And that’s more in mathematics: sometimes one can find all sorts of formulas and proofs without application, but afterwards it turns out to be very useful.

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