How small could an Earth-like planet be while still realistically being able to sustain human life?

I'm thinking a planet orbiting a nearby star colonized by human settlers sometime in the not near, but not too distant future. How small could a planet be while still standing in as a relatively close substitute to Earth? Let's suppose the atmosphere, the climate, and the gravity would be very similar to Earth's. Is it realistically possible for a planet half the size of Earth to have these qualities, or even smaller?

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How small could an Earth-like planet be while still realistically being able to sustain human life?

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