
meinen
to think
To have and express a particular opinion or view. It is often used to express a personal belief.
Ich meine, wir sollten das Angebot annehmen.
I think we should accept the offer.
to think / mean
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to think
To have and express a particular opinion or view. It is often used to express a personal belief.
Ich meine, wir sollten das Angebot annehmen.
I think we should accept the offer.

to mean
To refer to a particular person, thing, or specific matter. It is often used in questions to ask for clarification.
Wen genau meinst du mit 'er'?
Who exactly do you mean by 'he'?

to mean
To say something with a particular, often serious or sincere intention. It emphasizes the seriousness of a statement.
Das meine ich völlig ernst.
I mean that completely seriously.

to mean well by
To have good and well-meaning intentions toward someone, even if the result may not be perfect.
Er meint es nur gut mit dir, auch wenn er manchmal etwas streng ist.
He only means well by you, even if he is sometimes a bit strict.
Although 'meinen' sometimes means 'to mean', its most common meaning is 'to think' or 'to have an opinion'. When someone begins a sentence with 'Ich meine, ...' (I think/mean ...), they are expressing their personal view.
Ich meine, das ist eine gute Idee.
I think that is a good idea.
To express an opinion, 'meinen' (to think) is very often used with a subordinate clause introduced by 'dass' (that). The conjugated verb of the subordinate clause then comes at the end.
Der Experte meint, dass die Preise weiter steigen werden.
The expert thinks that prices will continue to rise.
In the meaning of 'sich beziehen auf' (to refer to), 'meinen' (to mean) is often used in questions to avoid misunderstandings. Typical questions are 'Wen meinst du?' (Who do you mean?) or 'Was meinst du damit?' (What do you mean by that?).
Meinst du den neuen Kollegen aus der Buchhaltung?
Do you mean the new colleague from accounting?
To emphasize the seriousness of a statement, 'meinen' (to mean) is often combined with adverbs such as 'ernst' (seriously), 'ehrlich' (honestly), or 'wörtlich' (literally).
Glaub mir, ich meine das absolut ehrlich.
Believe me, I mean that absolutely honestly.
The idiom 'es gut mit jemandem meinen' (to mean well by someone) is a fixed structure. The person the good intentions are directed toward is always in the dative.
Deine Eltern meinen es nur gut mit dir.
Your parents only mean well by you.
to find
Finden usually marks a personal evaluation of something or someone. Meinen expresses a more general opinion that one voices. Finden is especially suitable for a direct evaluation; when stating one’s opinion as a statement, meinen is an appropriate choice.

Ich meine, dass der neue Film sehr unterhaltsam ist.
I think the new film is very entertaining.
Ich finde den neuen Film sehr unterhaltsam.
I find the new film very entertaining.