IPA: /ɪnˌkɔːrɪdʒəˈbɪlɪti/
KK: /ɪnˌkɔrɪdʒəˈbɪlɪti/
The state of being unable to be corrected, reformed, or improved; often used to describe someone who is resistant to change or reform.
Despite numerous attempts to help him, his incorrigibility made it clear that he would not change his ways.
Incorrigibility → It is formed from "in-" (meaning not), "corrigere" (meaning to correct), and "-ibility" (meaning the quality of being). The word describes the quality of being unable to be corrected or reformed.
Think of 'not' ('in-') being able to be 'corrected' ('corrigere') — that's why incorrigibility means the quality of being uncorrectable.