If something is anathema to you, such as a cursed object or idea, you very strongly dislike it or even hate it.
An anachronism is something that is out of place because it is set in the wrong time period.
If one thing is analogous to another, a comparison can be made between the two because they are similar in some way.
When you analyze something, you examine or look closely at its different parts in order to identify and better understand them.
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