calculation / calculus
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calculation
A calculating consideration or plan, often based on strategic, cold, or self-serving motives.
Seine freundliche Geste war reines Kalkül, um sich einen Vorteil zu verschaffen.
His friendly gesture was pure calculation in order to gain an advantage.
The word comes from the Latin 'calculus', meaning 'small stone'. This explains the seemingly different meanings: stones were once used for counting (hence the meaning 'calculation'), and in medicine the word refers to stone formation in the body.
Seine Entscheidung war kein Zufall, sondern kühles Kalkül.
His decision was no accident, but cold calculation.
The meaning 'calculating consideration' is the most common in everyday language. The meanings from mathematics/logic and medicine are technical language and occur only in the corresponding specialist texts.
Ihre Freundlichkeit war nur Kalkül, um an die Informationen zu kommen.
Her friendliness was only calculation in order to get the information.
A very common and important expression is 'etwas ins Kalkül ziehen' (to take something into account). It means to consider something in one's deliberations or to factor it in.
Bei der Planung der Reise müssen wir die hohen Benzinkosten ins Kalkül ziehen.
When planning the trip, we have to take the high fuel costs into account.
In the meaning 'calculating consideration', 'Kalkül' (calculation) is often combined with adjectives that emphasize a cold, strategic intention. Typical examples are 'reines Kalkül' (pure calculation), 'kühles Kalkül' (cold calculation), or 'politisches Kalkül' (political calculation).
Es war reines Kalkül, den Konkurrenten kurz vor der Wahl zu kritisieren.
It was pure calculation to criticize the competitor shortly before the election.
plan
'der Plan' and 'das Kalkül' can both describe a considered intention. 'der Plan' is the normal and neutral word: you have an idea of how you want to do or achieve something. 'das Kalkül' sounds much more specific. It refers to a calculating, strategic consideration, often with a cool head or for one's own advantage. Learners may confuse the words because both have to do with planning. In everyday life, people usually say 'Plan'. 'Kalkül' fits better when you want to emphasize that someone is acting very deliberately and perhaps strategically in a not entirely open way.
Hinter seiner freundlichen Einladung steckt vielleicht politisches Kalkül.
There may be political calculation behind his friendly invitation.
Unser Plan ist einfach: Wir fahren früh los und machen mittags eine Pause.
Our plan is simple: we leave early and take a break at midday.