Sovereignty refers to that absolute predestination of God by which He has from eternity chosen some sinners to eternal life and passed by others.Several dictionaries differ
- Supremacy of authority or rule as exercised by a sovereign or sovereign state
- Royal rank, authority, or power
- Complete independence and self-government
- Supreme and unrestricted power, as of a state
- The position, dominion, or authority of a sovereign
- Supreme power
- The quality or state of being sovereign
- The status, dominion, power, or authority of a sovereign; royalty
- Supreme and independent power or authority in government as possessed or claimed by a state or community.
- Rightful status, independence, or prerogative
- Supreme power esp. over a body politic
- Freedom from external control
That the word "sovereignty" relates to kingship in English does not mean Roberts' position is scripturally incorrect, it does however mean that he has to demonstrate his position, and redefining words is not an argument.
Arminians agree that God is sovereign. He does rule over the earth as a king his subjects. Arminians do not need to be convinced that God is in fact sovereign (in the usual meaning of the word). But Arminians understand what it means for God to be sovereign in a different way. Yes, God can do whatever he wills, but does he do so in all things deterministically? Mike T explains this succinctly
The first error of Calvinism is that it defines divine sovereignty as a thing God does rather than something God possesses. God's sovereignty is a pre-existing fact. It is not possible for God's perfect will to be thwarted because there are none like him. We don't say that when a human king expresses a passing wish that a subject not do X that his sovereignty is violated when that subject does it anyway. Yet Calvinists argue precisely that would be the case if humans had the freedom to disobey God's will and act autonomously.