HAVE SECOND THOUGHTS ABOUT, think twice about, think again about, change one's mind about; reconsider, decide against; informal get cold feet about.
→ think
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phrasal : to reconsider and make a better decision
started to protest but thought better of it — Irwin Shaw
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think better of
1. To revise one's decision about, esp to decide against
2. To have a higher opinion of
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Main Entry: ↑better
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think better of
1. To change one's mind about (doing something) on reflection
2. To feel more approval for
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Main Entry: ↑think
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decide not to do (something) after reconsideration
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Main Entry: ↑better
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think better of
: to decide not to do (something) after thinking further about it
She was going to make a comment but thought better of it.
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Main Entry: ↑think
Useful english dictionary. 2012.