3
votes
1answer
99 views

What is the minimal axiomatization of a set of structures?

I wonder what the minimal axiomatization of a set of structures mean? I came across this term from Wikipedia: For a theory $T\in A,$ let $F(T)$ be the set of all structures that satisfy the ...
4
votes
1answer
130 views

Computing square roots and calculus

If one were to verify that $$ \sqrt{2} < 3 $$ would the underlying formalisation require a logic more expressive than first-order? Or, is FOL sufficient since real numbers can be formalised in ...