1) French word used in English 2) Illogical 3) Inconsequential 4) Lacking worth or importance 5) Unimportant 1) Inconsequential 2) Unimportant 
• (a.) Not following from the premises; not regularly inferred; invalid; not characterized by logical method; illogical; arbitrary; inconsistent; of no consequence.
In·con'se·quent adjective [ Latin inconsequens : confer French inconséquent . See In- not, and Consequent .] Not following from the premises; not regularly inferred; invalid; not characterized by logical method; illogical; arbitrary; inconsistent; of no consequence. �...
[adj] - lacking worth or importance
inconsequential adjective lacking worth or importance; `his work seems trivial and inconsequential`; `the quite inconsequent fellow was managed like a puppet`
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; inconsis...