[:linear continuum:]
• A nonempty set $L$ with a total order is called a *linear continuum* if the following hold:
• $L$ has the least upper bound property, i.e. every nonempty subset of $L$ with an upper bound has a least upper bound
• The order is a dense order, i.e. for every $a < c$ exists a $b$ s.t. $a < b < c$
• Intuition: linear continuums are "$\mathbb R$-like" without requiring properties of $\mathbb R$ besides order-related ones