different between inflexibility vs sternness

English

From French inflexibilité, from Old French inflectibilité

inflexibility (usually uncountable, plural inflexibilities)

The quality or state of being inflexible, or not capable of being bent or changed; unyielding stiffness
Synonyms: inflexibleness, rigidity, obstinacy

inflexibility in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.

stern +? -ness

sternness (countable and uncountable, plural sternnesses)

(uncountable) The state or quality of being stern.
- 2012, July 15. Richard Williams in Guardian Unlimited, Tour de France 2012: Carpet tacks cannot force Bradley Wiggins off track
  There was the sternness of an old-fashioned Tour patron in his rebuke to the young Frenchman Pierre Rolland, the only one to ride away from the peloton and seize the opportunity for a lone attack before being absorbed back into the bunch, where he was received with coolness.
(countable) The result or product of being stern.

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