What is the significance of the word "Infallible" in the context of Mr. Curtain's plans?

The word "Infallible" in the context of Mr. Curtain's plans reflects his belief in absolute control. This term suggests that he views his strategies and mechanisms as flawless and incapable of error. By labeling his plans as infallible, Mr. Curtain conveys confidence in his ability to manipulate situations to his advantage without the risk of failure. This perspective aligns with his character, as he is portrayed as someone seeking power and control over others through his intelligence and cunning. Such a viewpoint can also create a sense of arrogance, leading him to underestimate the capabilities of others, including the members of the Mysterious Benedict Society. This belief in his own infallibility is crucial to understanding both his motivations and the eventual challenges he faces as the story unfolds.