What is "rigorousness"

Rigorous \Rig"or*ous\, a. [F. rigoureux, LL. rigorosus. See Rigor.]

1. Manifesting, exercising, or favoring rigor; allowing no abatement or mitigation; scrupulously accurate; exact; strict; severe; relentless; as, a rigorous officer of justice; a rigorous execution of law; a rigorous definition or demonstration.

   He shall be thrown down the Tarpeian Rock With rigorous hands.
   --Shak.

   We do not connect the scattered phenomena into their rigorous unity.
   --De Quincey.

2. Severe; intense; inclement; as, a rigorous winter.

3. Violent. [Obs.] ``Rigorous uproar.''
   --Spenser.

4. (Mathematics, Logic) Adhering scrupulously and exactly to accepted principles; hence, logically valid; as, a rigorous proof.

   Syn: Rigid; inflexible; unyielding; stiff; severe; austere; stern; harsh; strict; exact. [1913 Webster] -- Rig"or*ous*ly, adv. -- Rig"or*ous*ness, n.

n. The property of being rigorous, strictness.

n. something hard to endure; "the asperity of northern winters" [syn: asperity, grimness, hardship, rigor, rigour, severity]