Undergrad Would you be able to add to this list of known objects

[Logical Dog]

So I was reading a book that warned me about mathematical objects and how they can be confused and muddled up for something else while being an entirely different thing..So, As far as I know these are distinct mathematical objects (which I think I know).

Is it a valid list and what are some that you may be able to add or correct?

1. Point.
2. Line.
3. Geometrical Shape
4. Proposition
5. Axiom,
6.Number
7.Set.
8. Element
9. Vector
10. Matrix
11. Function
12. Derivative (?)
13. Integral (?)

 

[.Scott]

A Boolean value (true or false).

 

[fresh_42]

So I was reading a book that warned me about mathematical objects and how they can be confused and muddled up for something else while being an entirely different thing..So, As far as I know these are distinct mathematical objects (which I think I know).

Is it a valid list and what are some that you may be able to add or correct?

1. Point.
2. Line.
3. Geometrical Shape
4. Proposition
5. Axiom,
6.Number
7.Set.
8. Element
9. Vector
10. Matrix
11. Function
12. Derivative (?)
13. Integral (?)

This list could probably be extended by at least some dozens of terms. The same is true for physics and likely many other sciences.
In addition it might depend on the language: something confusing in one language doesn't have to be confusing in another. E.g. integral domain is "integrity domain" in mine. That's why all used scientific terms are defined, before being used. Ordinary language is simply more restrictive than the range of scientific objects are, in the sense that it is ambiguous. This is already true by the normal usage without referring to science.

 

[mfb]

List of some mathematical concepts

Usually, if there is some ambiguity things should be explained sufficiently to make clear what is meant.

 

[fresh_42]

List of some mathematical concepts

Usually, if there is some ambiguity things should be explained sufficiently to make clear what is meant.

My favorite one is missing Nilradical

 

[fresh_42]

Sometimes those words can be a burden: Just deleted a SPAM mail starting with "Save a bundle ..." and I was automatically thinking, why should I want to save a bundle ...