Trinity, Help or Heresy

Listen, Israel: The LORD our God, the LORD is One (אֶחָֽד). (Deuteronomy 6:4 HCSB)

This is what the Bible affirmed about God:

1. God is One;
2. The Father is God;
3. The Son is God;
4. The Spirit is God;
5. The Father, the Son and the Spirit is distinct (The Father is not the Son, The Father is not the Spirit, the Son is not the Father, the Son is not the Spirit, the Spirit is not the Father, the Spirit is not the Son.).

Now, it is very difficult for the human mind to wrap around this concept. So theologians came up with the doctrine of Trinity, one God three Persons.

There are implications when cardinal numbers are assigned to the persons in the Godhead. The immediately obvious implication is that the cardinal number 3 is now an attribute associated with God, and therefore co-existed with God. Since God is self-existent and eternal, so is the cardinal number 3. If the cardinal number 3 is eternal, then the whole number system is eternal. My question will be, is God self-existent and eternal, or are the rules of mathematics self-existent and eternal?

There are three persons in the room. We have no problem with this statement because people are discrete and countable. We cannot say "There are three waters", or "There are three airs". It does not make sense. God is spirit (John 4:24). The Father, the Son and the Spirit is distinct. But is the Father, the Son and the Spirit discrete and countable? Why does the Bible scrupulously avoid the cardinal number of 3 when the Father, the Son and the Spirit seems to be crying out to be counted as 3? Rather, the Bible tells us that God is one, despite the Father, the Son and the Spirit. When Jesus was on earth, He was a discrete countable human. Thus He and the Father can be counted as two witnesses (John 8:17-18).

אֶחָד
What about the number "one"? Is it not also a cardinal number? Yes. But one can mean unique, alone or first, which is definitely an attribute of God. Before creation, time and space and the number system did not exist. But God is.

The sum of your word is truth, and every one of your righteous rules endures forever. (Psalm 119:160 ESV)