- #1
BifSlamkovich
- 24
- 0
Please explain the logic, as this is the definition provided by the book I am referring to.
Last edited:
Please explain the logic, as this is the definition provided by the book I am referring to.
The only thing you need to check to see this model of ordered pairs works is that (a,b)=(c,d) implies a=c and b=d.Please explain the logic, as this is the definition provided by the book I am referring to.
The only thing you need to check to see this model of ordered pairs works is that (a,b)=(c,d) implies a=c and b=d.
So which part do you have trouble with?
- Checking this fact
- The basic idea of modeling ordered pairs (or other concepts) with sets
- Coming up with the list of properties that a model of the notion of ordered pair would have to satisfy
1. Why do we need to define numbers?
2. Is this the ONLY way to define numbers?
3. Is there a reason for defining numbers this way? What was the thinking behind it?
Basically yes.so, you are saying that it is based on the the unification of various branches of mathematics??
so, you are saying that it is based on the the unification of various branches of mathematics??
It is not unique:Is there a poof somewhere that there is no other way of defining ordered pairs or numbers using only sets? In other words, is this construction unique?