logic
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logic
The internal consistency and logical coherence of thoughts, arguments, or actions. Colloquially, it is often used for common sense or an obvious conclusion.
Es widerspricht jeder Logik, bei diesem Sturm ohne Jacke nach draußen zu gehen.
It defies all logic to go outside without a jacket in this storm.
The adjective for 'die Logik' (logic) is 'logisch' (logical). When you learn the noun, it's best to learn the adjective at the same time, since it is used very frequently.
Deine Erklärung ist nicht logisch.
Your explanation is not logical.
In everyday language, 'Logik' (logic) is often used in fixed expressions. Common combinations are 'der Logik folgen' (to follow the logic), 'die Logik dahinter verstehen' (to understand the logic behind it), or 'das entbehrt jeder Logik' (that lacks any logic).
Ich kann der Logik deiner Argumentation nicht folgen.
I can't follow the logic of your argument.
A very common construction is 'Es widerspricht der Logik, etwas zu tun' (It contradicts logic to do something). This expresses that an action is unreasonable.
Es widerspricht der Logik, bei Kälte ein Fenster offen zu lassen.
It contradicts logic to leave a window open in cold weather.
You can recognize the meaning 'Wissenschaft' (science/academic discipline) from the context. Words such as 'formale Logik' (formal logic), 'mathematische Logik' (mathematical logic), or verbs like 'studieren' (to study) point to the academic field.
An der Universität belegte er einen Kurs in formaler Logik.
At the university, he took a course in formal logic.
meaning / sense
'der Sinn' and 'die Logik' can both have to do with whether something is understandable and reasonable. 'Logik' emphasizes the internal connection: does one thought fit with the next? 'Sinn' is broader and also asks about meaning, purpose, or usefulness. That is why an argument can have logic, but an action can make sense because it is useful. Learners confuse the words because in both cases you want to say: 'That is understandable.' For clear thoughts and arguments, 'Logik' fits; for purpose and usefulness, 'Sinn' is usually better.
Wegen der einfachen Logik versteht das Team den Vorschlag sofort.
Because of the simple logic, the team understands the proposal immediately.
Mein Vater sieht keinen Sinn darin, morgen zwei Stunden früher loszufahren.
My father sees no point in leaving two hours earlier tomorrow.