Why does Rudin require $1\neq 0$ in order for a set to form a field?
116916
What's the rationale for requiring that a field be a $\boldsymbol{non}$-$\boldsymbol{trivial}$ ring?
3673
SELECT statement using set Algebra
114575
If $\sum_{i=1}^k \dim F_i > n(k-1)$ then $\cap_{i=1}^k F_i \neq \{0\}$
96355
What is the first order axiom characterizing a field having characteristic zero?
107215
Is $\emptyset \in \emptyset$ or $\emptyset \subseteq \emptyset$?
74515
Elementary proof of claim in Baby Rudin 3.31
36612
Strange set notation (a set as a power of 2)?
72185
The negation of a limit condition, Spivak style.
4552
Choice of $q$ in Baby Rudin's Example 1.1
127200
Are there fields and ordered fields of every infinite cardinality?
132692
Nonempty set mapped to $\emptyset$ and vice-versa
86154
Why is this true? A set is Dedekind infinite if and only if equipotent to the union with the set containing itself
121643
Why isn't the zero ring the field with one element?
70266
1-1 correspondence between [0,1] and [0,1)
74860
Why is the empty set a subset of every set?
11959
What's wrong with this argument that $[0,1]$ is countable?
37910
If capital letters are supposed to be sets, why is $N$ used as a number?