From Wiktionary, the free dictionary

• (General American) IPA^(key): /ɪnˌfæləˈbɪləti/, /ˌɪnˌfæləˈbɪləti/

infallibility (usually uncountable, plural infallibilities)

1. The property of being infallible; the ability to never make a mistake.

   Synonyms: faultlessness, perfection

   Antonym: fallibility

   • 1977 December 10, Kate Gyllensvard, Richard Millen, “Blue Collar, White Collar, Lavender Collar: A Look At The Gay Work Force”, in Gay Community News, volume 5, number 23, page 11:

     The myth of the infallibility and objectivity of medicine and all science has come to replace religious myths.

• papal infallibility