adjective.
Proceeding without a natural or logical sequence; haphazard.
The Century Dictionary and Cyclopedia
Not consequent; not resulting from what has preceded; out of proper relation; irrelevant: as, inconsequent remarks; his actions are very inconsequent.
Not following from the premises; of the nature of an inference the conclusion of which might be false though the premises were true; illogical; formally fallacious.
the GNU version of the Collaborative International Dictionary of English
adjective.
Not following from the premises; not regularly inferred; invalid; not characterized by logical method; illogical; arbitrary; inconsistent; of no consequence.
WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
adjective.
lacking worth or importance
Word Usage
"I skipped back with much agility, also a little to one side, because there was nothing else to do, reflecting in a kind of inconsequent way, that after all Zikali's Great Medicine was not worth a curse."