^^Insiemi fondamento della matematica.
Teoria assiomatica degli insiemi come fondamento della matematica.If one agrees that set theory is an appealing foundation of mathematics, then
all mathematical objects must be defined as sets of some sort.
Hence
- if the
ordered pair is not taken as primitive,
- it must be defined as a set. >>>
- if numbers are not taken as primitive,
- they must be defined as sets. >>>
- if the
function is not taken as primitive,
- it must be defined as a set. >>>
- ...
ordered_pair-as-sets
numbers-as-sets
functions-as-sets
Links wp
- Penelope Maddy,
‘Set-theoretic foundations’