unlogisch
illogical
Contradicting the rules of logic; not consistent, unreasonable, or contradictory.
Seine Argumentation war völlig unlogisch und voller Widersprüche.
His argument was completely illogical and full of contradictions.

illogical
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illogical
Contradicting the rules of logic; not consistent, unreasonable, or contradictory.
Seine Argumentation war völlig unlogisch und voller Widersprüche.
His argument was completely illogical and full of contradictions.

The word consists of the prefix 'un-' and the adjective 'logisch' (logical). The prefix 'un-' negates the base word and means 'not'. So 'unlogisch' (illogical) literally means 'not logical'.
Es ist unlogisch, ohne Jacke bei Minusgraden spazieren zu gehen.
It is illogical to go for a walk in subzero temperatures without a jacket.
'Unlogisch' (illogical) can describe a thing or a statement (predicative use), or also an action (adverbial use).
Deine Erklärung ist unlogisch.
Your explanation is illogical.
'Unlogisch' (illogical) is often used to evaluate mental processes or their results. Typical combinations are 'eine unlogische Schlussfolgerung' (an illogical conclusion), 'ein unlogisches Argument' (an illogical argument), or 'unlogisches Verhalten' (illogical behavior).
Der Detektiv erkannte sofort die unlogische Schlussfolgerung des Zeugen.
The detective immediately recognized the witness's illogical conclusion.
consistent
'konsequent' and 'unlogisch' are opposites here when it comes to logical consistency. 'konsequent' describes behavior or a decision that fits a plan or principle and is carried through without contradiction. 'unlogisch', by contrast, describes something that does not fit together or contradicts itself. 'konsequent' often sounds positive or neutral because someone clearly sticks to a line of action. 'unlogisch' is used more for thoughts, explanations, or decisions that do not make sense.

Die Erklärung der Klasse wirkt unlogisch, weil wichtige Schritte fehlen.
The class's explanation seems illogical because important steps are missing.
Die Schule ist konsequent und kontrolliert die Hausaufgaben jeden Freitag.
The school is consistent and checks homework every Friday.