What is Inconsequence?

Inconsequence definition and meaning on Dictionary terms:

characterized by lack of proper sequence in thought, speech, or action.
characterized by lack of logical sequence; illogical; inconsecutive: inconsequent reasoning.
irrelevant: an inconsequent remark.
not following from the premises: an inconsequent deduction.
not in keeping with the general character or design; inconsistent: inconsequent ornamentation.
without worth or consequence; trivial: a frivolous, inconsequent young man.