title: Tall cardinal
text: # Tall cardinal
  
  In mathematics, a tall cardinal is a large cardinal κ that is θ-tall for all ordinals θ, where a cardinal is called θ-tall if there is an elementary embedding j : V → M with critical point κ such that j(κ) > θ and $M^κ$ ⊆ M.
  
  Tall cardinals are equiconsistent with strong cardinals.
  
  