kimmln wrote: ↑Thu Mar 07, 2019 7:36 pm
In mathematics, a great many things are defined by what they are not.
- The set of irrational numbers defined as not rational.
- A point defined as that which has no part.
- any logic statement that uses not i.e p -> !q
- and so on ...
In math, there are many mutually exclusive concepts, where one concept is well defined implying the other cannot be. This means the contrary concept can only be defined by what it is not.
And not just for math:
A chair has 4 legs, it's something to sit on, and it is often found under a table.
A chair does not have more than 4 legs, does not allow a person to comfortably stand nor lie down and is not the same thing as a table. A chair does not consist of feathers, does not move under its own power, does not taste good, etc.
To define something is to delineate its boundaries.