Obstinance refers to the trait or quality of being stubbornly persistent and resistant to change or argument, even when faced with reason or persuasion. 

It is characterized by a resolute adherence to one's own ideas, purpose, or course of action, often described as being difficult to handle, overcome, or remedy. 

Synonyms include stubbornness, mulishness, and pigheadedness.

  Key aspects of obstinance: 

Stubbornness: A refusal to change one's opinion, mind, or course of action.  Resistance: A strong unwillingness to yield to arguments, persuasion, or entreaty. 

 Persistence: A firm and unyielding adherence to a purpose or desire.  Intractability: A quality of being difficult to handle, control, or remedy. 

 Examples of obstinance in use: 

In people: Describing someone who refuses to listen to new ideas or consider alternative viewpoints.  In problems: Referring to a condition that is hard to resolve or cure, such as the obstinacy of an illness.  

In political contexts: The unwavering stance of a politician or group on a specific issue, even when facing opposition, can be seen as obstinance.