The phrase "study at destruction" can have a negative connotation, implying a focus on analyzing damaging behavior or events. Synonyms for this phrase can include "examine for harm," "scrutinize for damage," or "analyze for negative impact." These alternatives still convey the idea of careful analysis, but with a slightly more neutral or even positive tone. Other possible synonyms for "study at destruction" might include "investigate for improvement," "assess for growth potential," or "evaluate for strategic advantage." Ultimately, the specific synonym used will depend on the context and intended meaning of the phrase.