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.
logic
The theory or science of reasonable and correct reasoning. It is a subfield of philosophy and mathematics.
Im ersten Semester haben wir eine Einführung in die formale Logik.
In the first semester, we have an introduction to formal logic.
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
Sinn and Logik can both express that an explanation is understandable and coherent. The expression „Sinn ergeben“ (to make sense) evaluates the explanation as a whole. Logik refers more specifically to whether its ideas and conclusions fit together.
Die Logik der Erklärung überzeugt mich nicht, weil die Folgerungen nicht zusammenpassen.
I am not convinced by the logic of the explanation because the conclusions do not fit together.
Die Erklärung ergibt für mich keinen Sinn, weil wichtige Informationen fehlen.
The explanation makes no sense to me because important information is missing.
