We present a detailed analysis of the thermodynamics of black holes in flat spacetime with Eddington inspired Born-Infeld theory of gravity. The thermodynamic properties are obtained through the surface gravity method that is well known in black hole mechanics. We analyse the stability of the black holes configuration through the property of its specific heat. It is found that electrically charged black holes in EiBI gravity are unstable, and this may be related to the thermodynamic instability of flat spacetime itself.
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