1 God = 1 God + 1 God + 1God; therefore 1 God = 3 Gods.
1+1+1=1?
Explain.
I hope you don't mind if I adapt a post I made in another topic, but it really covers your question well, I think.
Before we continue, the following two disclaimers need to be made:
1: When we Christians speak of the Trinity, we do NOT define it as God having schizophrenia or multiple-personality disorder; the Trinity is not God switching between three different "modes" or "masks."
2: When we Christians speak of the Trinity, we do NOT mean to say that Father, Son and Holy Spirit are three wholly separate entities. We do not have three Gods, but One. We do not hold the Mormon position of "Three persons united in purpose only."
Now that that's out of the way, here is the actual definition of what the Trinity is, courtesy of OrthodoxWiki.org:
Orthodox Christians worship the Father, Son, and Holy Spiritthe
Holy Trinity, the one God. Following the Holy Scriptures and the Church Fathers, the Church believes that the Trinity is three divine persons (hypostases) who share one essence (ousia). It is paradoxical to believe thus, but that is how God has revealed himself. All three persons are consubstantial with each other, that is, they are of one essence (homoousios) and coeternal. There never was a time when any of the persons of the Trinity did not exist. God is beyond and before time and yet acts within time, moving and speaking within history.
God is not an impersonal essence or mere "higher power," but rather each of the divine persons relates to mankind personally. Neither is God a simple name for three gods (i.e., polytheism), but rather the Orthodox faith is monotheist and yet
Trinitarian. The God of the Orthodox Christian Church is the God of Abraham, Isaac and Jacob, the
I AM who revealed himself to Moses in the burning bush.The source and unity of the Holy Trinity is the Father, from whom the Son is begotten and also from whom the Spirit proceeds. Thus, the Father is both the ground of unity of the Trinity and also of distinction. . .
The primary statement of what the Church believes about God is to be found in the
Nicene-Constantinopolitan Creed.
Now, to define those Greek terms that showed up in that quote:
-Hypostasis: A person.
-Ousia: An essence; i.e. that which makes an entity that particular entity; for example, the essence of Shiranui117 is different from the essence of horizon_mj.
-Homoousios: Of one essence.
In this case, since Father, Son and Holy Spirit are all of the same Divine Essence, they all are one "being," each Person being fully God. It is not a case of 1/3+1/3+1/3=1, or of 1+1+1=3, but 1+1+1=1. Father, Son and Holy Spirit are not just "parts" of God, but are each fully God in their own right. Yet they are not separate, but one. Three distinct Persons, yet one God. Distinct, yet not separate. United, yet not confused or mixed.
Ordinarily, one essence=one person. Peter, James and John all share a human nature, but each of them have their own particular essence, i.e. that which makes them who they are. However, with God, you have three Persons sharing one Essence. So they are not three separate beings like Peter, James and John, but are truly one God yet three Persons.