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Most were residents in the southern frontier
If we look at the five principles of Islam, or the five pillars or the five fundamentals, belief practically ends with the first pillar of Islam. In other words, that affirmation that Allah is the only deity and that Muhammad is his messenger. After that, everything is action, is practice. The other four, i.e., praying, fasting, paying the zakat -- what I call a social tax -- and the hajj, involve action. Muslims are very action-oriented.
I believe postulates are given or assumed true statements without a proof. And a theorem can be proven. You do this in geometry if I remember correctly.