half a mind
An inclination that is not definite or resolute. For example, I've half a mind to drop the course, or He went out with half a mind to walk all the way there. [First half of 1700s] Also see have a good mind to.
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The American Heritage® Idioms Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
Examples from the Web for half a mind
Historical Examples of half a mind
"I'm half-a-mind to go over there and tell them off," Nora murmured.
Death of a SpacemanWalter M. Miller
I had half-a-mind to discard my little camera also, but somehow or other I could not bring myself to part with this.
Sixteen Months in Four German PrisonsHenry Charles Mahoney