'Rigorousness' definitions:

Definition of 'rigorousness'

noun

Something hard to endure; "the asperity of northern winters" [syn: asperity, grimness, hardship, rigor, rigour, severity, severeness, rigorousness, rigourousness]

noun

Excessive sternness; "severity of character"; "the harshness of his punishment was inhuman"; "the rigors of boot camp" [syn: severity, severeness, harshness, rigor, rigour, rigorousness, rigourousness, inclemency, hardness, stiffness]

From: GCIDE

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. [1913 Webster]
He shall be thrown down the Tarpeian Rock With rigorous hands. --Shak. [1913 Webster]
We do not connect the scattered phenomena into their rigorous unity. --De Quincey. [1913 Webster]
2. Severe; intense; inclement; as, a rigorous winter. [1913 Webster]
3. Violent. [Obs.] "Rigorous uproar." --Spenser. [1913 Webster]
4. (Mathematics, Logic) Adhering scrupulously and exactly to accepted principles; hence, logically valid; as, a rigorous proof. [PJC]
Syn: Rigid; inflexible; unyielding; stiff; severe; austere; stern; harsh; strict; exact. [1913 Webster] -- {Rig"or*ous*ly}, adv. -- {Rig"or*ous*ness}, n. [1913 Webster]