"Ich denke dran aus meiner Sicht" or "Ich denke dran aus meiner Ansicht" which one is correct for "I think of that from my point of view" and are "Sicht" and "Ansicht" interchangeable?
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In German, you'd usually use the idiom
meiner Ansicht nach [ist es soundso...]
(and in this case you can't use "Sicht" for "Ansicht").
If you want to preserve the notion of locality, you can also use
von meinem Standpunkt aus [sieht es soundso aus...]
which more or less directly translates to "from my point of view".
Acctually the question is not so easy to answer. And In some areas Sicht and Ansicht are overlapping and in other areas not. I don't think that dictionaries will help much as to this question as the dictionary does not say Here you can use Sicht/Ansicht as well and Here you can only use this one word and not the other one.
A driver of a motorcar can say: Die Sicht war schlecht. Meaning he saw almost nothing. Here Ansicht would be impossible.
On an illustrated postcard you could find: Ansicht vom Münchner Rathaus". Sicht would be possible, but a bit unusual.
"Meiner Ansicht nach" ist the standard formula. Sicht would be a bit unusual.
"Aus meiner Sicht muß ich die Dinge etwas anders beurteilen." In this sentence only Sicht is possible.
Actually one should have text material with 100 uses of Sicht/Ansicht to give a clear and competent statement. But generally I think one can say there are standard expressions were one or the other word is fixed. And only in a small part the two terms are overlapping.
Ich denke darüber aus meiner Perspektive nach.
"Dran denken" wird für "sich erinnern" benutzt, also etwa: "Ich vergesse Deinen Geburtstag nicht, sondern werde dran denken". Dazu nimmt man aber keine besondere Perspektive ein.