Source : Webster's Revised Unabridged Dictionary (1913)

Inflexibility \In*flex"i*bil"i*ty\, n. [Cf. F.
   inflexibilit['e].]
   The quality or state of being inflexible, or not capable of
   being bent or changed; unyielding stiffness; inflexibleness;
   rigidity; firmness of will or purpose; unbending pertinacity;
   steadfastness; resoluteness; unchangeableness; obstinacy.

         The inflexibility of mechanism.          --A. Baxter.

         That grave inflexibility of soul.        --Churchill.

         The purity and inflexibility of their faith. --T.
                                                  Warton.

Source : WordNet®

inflexibility
     n 1: a lack of physical flexibility [syn: {inflexibleness}] [ant:
           {flexibility}]
     2: the quality of being rigid and rigorously severe [syn: {rigidity}]
        [ant: {flexibility}]