1. in a manner that lacks logical connection or relevance; without proper sequence or coherence
Usage: formal; often used to describe speech or writing that jumps between unrelated ideas
2. in a way that is unimportant or trivial; without significant consequence
Usage: less common; archaic or literary usage

Examples

• He spoke inconsequently, jumping from topic to topic without finishing his thoughts.
• The witness testified inconsequently, making it difficult for the jury to follow her account.
• She wrote inconsequently in her journal, recording random observations without any clear narrative.
• The speaker rambled inconsequently through the presentation, confusing the audience.
• His arguments were presented inconsequently, lacking the logical flow needed to persuade anyone.
• The film's plot moved inconsequently from one scene to the next, leaving viewers bewildered.