• The Laws of Logic Hold Universally
• Christianity's distinctive, characteristic beliefs

• x the Son always existed
• if x the Son always existed, and the Father always existed, then the Son is less divine than the Father
• If the above is true, the Son is less divine than the Father

∴ the Son is less divine than the Father

• a begotten being is of lower rank than the begetter
• the Father beget the Son
• If the above is true, the Son is less divine than the Father

∴ the Son is less divine than the Father

• the Father is supreme
• if there were another equally divine being, the Father would not be supreme
• If the above is true, the Son is less divine than the Father

∴ the Son is less divine than the Father

• the Father is simple in essence
• if there were another equally divine being, the Father would not be simple in essence
• If the above is true, the Son is less divine than the Father

∴ the Son is less divine than the Father

Arius

• God's fatherhood either describes His nature and essence or His activity
• if God's fatherhood describes His nature and essence, then the Son is not the same ousia as the Father
• if the Son is not of the same ousia, He is less divine than the Father
• if God's Fatherhood describes His activity, then the son is created
• if the Son is created, He is less divine than the Father
• If the above is true, the Son is less divine than the Father

∴ the Son is less divine than the Father

ousia: substance

Eunomius

x the Son is less divine than the Father