illogical
1. [ adjective ] (logic) lacking in correct logical relation
Synonyms: unlogical
Related terms: logical absurd intuitive inconsequential irrational incoherent unreasonable logicality
2. [ adjective ] lacking orderly continuity
Synonyms: confused disordered disjointed garbled scattered unconnected disconnected
Examples:

"a confused set of instructions" "a confused dream about the end of the world" "disconnected fragments of a story" "scattered thoughts"

Related terms: incoherent
Similar spelling:   illogically
  illogic
  illogicality