Does any set admit a total order?
7214
Does linear ordering need the Axiom of Choice?
150825
Is an empty set equal to another empty set?
858
Is $\{\emptyset\}$ a subset of $\{\{\emptyset\}\}$?
71976
Is every element on a set also a set?
122684
How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)
1508
How do I prove that a definition of an ordered pair does not satisfy the required property?
50258
How can a set contain itself?
22482
How can an ordered pair be expressed as a set?
63276
Is an arbitrary union of a chain of countable sets countable?
158671
Cardinality of a set that consists of all existing cardinalities
82753
How can I show that this is a partial order?
104190
Can any infinite ordinal be expressed as the sum of a limit ordinal and a finite ordinal?
29232
Find total number of relations that are equivalence as well as partial order set
149277
Does well-ordering of the proper class of cardinal numbers imply choice?
81406
Does every set have a group structure?
116251
Number of distinct total orders on a set
100061
The Maximum possible order for an element $S_n$