One God vs. Trinity
One God. Not one in three. Not three-in-one.
Allah is one in His being, one in His authority, and one in His right to be worshipped. Nothing shares His nature and nothing shares His worship.
Most arguments about God get stuck one level too high
The Trinity is usually debated as a puzzle. Three and one. Essence and person. Substance and hypostasis. The vocabulary is fifteen hundred years old and it takes a semester to use properly, and somewhere in the middle of it the thing that actually matters goes missing. Islam brings the question back down to where a person lives. Who do you worship? Not who do you believe in, and not who do you admire, but where do your prayer, your hope, your fear, and your final dependence actually go? Worship is the one thing a creature owes only to the One who made him, and the whole argument is about whether it gets shared out.
“(O Esteemed Messenger!) Proclaim: ‘He is Allah, Who is the One.”
قُلْ هُوَ اللَّهُ أَحَدٌ ١
“(O Esteemed Messenger!) Proclaim: ‘He is Allah, Who is the One.”
قُلْ هُوَ اللَّهُ أَحَدٌ ١
Not "do you believe in God." Almost everyone says yes to that. The question is whether you worship Him as He describes Himself, one, with no one standing beside Him.
What Christians actually mean by Trinity
No Christian believes in three gods. Getting this right is the difference between a conversation and a caricature.
If you have heard that Christians worship three gods, you have heard something Christians have spent seventeen centuries denying. The doctrine says God is one. The disagreement is not about the word one. It is about whether "one God" can contain three distinct persons who are each fully divine.
"The Trinity is One. We do not confess three Gods, but One God in three persons, the 'consubstantial Trinity'. The divine persons do not share the one divinity among themselves but each of them is God whole and entire."
"A Trinity doctrine is commonly expressed as the statement that the one God exists as or in three equally divine 'Persons', the Father, the Son, and the Holy Spirit."
The Trinity is described as the unity of Father, Son and Holy Spirit as three persons in one Godhead.
Confesses one God, and confesses Jesus Christ as true God from true God," begotten and not made.
God is one, with no persons inside the oneness.
God does not enter creation or take on a created body.
Worship belongs to the Creator and never passes to a creature, however greatly that creature is honored.
People of the Book, go not beyond the bounds in your religion, and say not as to God but the truth. The Messiah, Jesus son of Mary, was only the Messenger of God, and His Word that He committed to Mary, and a Spirit from Him. So believe in God and His Messengers, and say not, ’Three.’ Refrain; better is it for you. God is only One God. Glory be to Him -- That He should have a son! To Him belongs all that is in the heavens and in the earth; God suffices for a guardian.
يَا أَهْلَ الْكِتَابِ لَا تَغْلُوا فِي دِينِكُمْ وَلَا تَقُولُوا عَلَى اللَّهِ إِلَّا الْحَقَّ ۚ إِنَّمَا الْمَسِيحُ عِيسَى ابْنُ مَرْيَمَ رَسُولُ اللَّهِ وَكَلِمَتُهُ أَلْقَاهَا إِلَىٰ مَرْيَمَ وَرُوحٌ مِّنْهُ ۖ فَآمِنُوا بِاللَّهِ وَرُسُلِهِ ۖ وَلَا تَقُولُوا ثَلَاثَةٌ ۚ انتَهُوا خَيْرًا لَّكُمْ ۚ إِنَّمَا اللَّهُ إِلَٰهٌ وَاحِدٌ ۖ سُبْحَانَهُ أَن يَكُونَ لَهُ وَلَدٌ ۘ لَّهُ مَا فِي السَّمَاوَاتِ وَمَا فِي الْأَرْضِ ۗ وَكَفَىٰ بِاللَّهِ وَكِيلًا ١٧١
Jesus: honored, loved, followed, never worshipped
Muslims believe Jesus is the Messiah, born of a virgin, given scripture, supported with miracles, raised to Allah, and returning before the end of time. There is a scene the Qur'an sets on the Day of Judgment. Allah turns to Jesus in front of everyone and asks him a question.
And when Allah will say, "O Jesus, Son of Mary, did you say to the people, ‘Take me and my mother as deities besides Allah?’" He will say, "Exalted are You! It was not for me to say that to which I have no right. If I had said it, You would have known it. You know what is within myself, and I do not know what is within Yourself. Indeed, it is You who is Knower of the unseen.
وَإِذْ قَالَ اللَّهُ يَا عِيسَى ابْنَ مَرْيَمَ أَأَنتَ قُلْتَ لِلنَّاسِ اتَّخِذُونِي وَأُمِّيَ إِلَٰهَيْنِ مِن دُونِ اللَّهِ ۖ قَالَ سُبْحَانَكَ مَا يَكُونُ لِي أَنْ أَقُولَ مَا لَيْسَ لِي بِحَقٍّ ۚ إِن كُنتُ قُلْتُهُ فَقَدْ عَلِمْتَهُ ۚ تَعْلَمُ مَا فِي نَفْسِي وَلَا أَعْلَمُ مَا فِي نَفْسِكَ ۚ إِنَّكَ أَنتَ عَلَّامُ الْغُيُوبِ ١١٦
A Christian reader stops here and says: we do not worship Mary, so this verse has the wrong target. The verse is not a definition of the Trinity. It is a scene on the Day of Judgment in which Jesus is asked about worship that was in fact directed at him and at his mother by groups in late antiquity who did exactly that. What it establishes is not what Christians believe now. It establishes what Jesus himself will say when the question is finally put to him, and he answers it the same way he answered it in Galilee.
He is the Messiah. the Qur’an gives him the title outright, in Allah's own words.
He was born of a virgin, by a command, without a father.
He healed, he raised the dead, he carried the revelation he was given without altering it.
He was not killed. Allah raised him, and he will return.
Withheld Worship. That belongs to Allah, and Jesus spent his life saying so.
A simple way to see the difference
The same word, carrying two different weights. Both faiths say one God. Everything turns on what "one" is allowed to contain.
God is one God is one in essence and one in person. There is no interior plurality to describe.
No incarnation. The Creator does not take on created flesh.
No mediator stands between a person and Allah. You speak to Him directly.
Worship goes to Allah alone, exclusively, without exception.
God is one essence in three persons, each of them fully God, none of them the other.
Salvation comes through the Son, who mediates between God and humanity.
The Incarnation. God the Son takes on human nature in Jesus.
Worship is offered to Father, Son and Holy Spirit as one God.
Pull quote, attributed rather than floating Islam does not reject the Trinity because Christians are insincere. It rejects it because worship is the one thing that cannot be extended, not even to the most honored man who ever lived.

The heart of the issue: worship and clarity
Islam does not protect Allah's greatness with categories. It protects it by refusing to let anything stand next to Him. Worship Him directly. Do not worship anything He made. Do not divide what cannot be divided. Do not confuse the Creator with the creation.
He has brought into existence the heavens and the earth from nothingness. He is the One Who made pairs for you from your own kind and made pairs of cattle as well, and with this (pairing) He multiplies and spreads you. There is nothing like Him and He alone is All-Hearing, All-Seeing.
فَاطِرُ السَّمَاوَاتِ وَالْأَرْضِ ۚ جَعَلَ لَكُم مِّنْ أَنفُسِكُمْ أَزْوَاجًا وَمِنَ الْأَنْعَامِ أَزْوَاجًا ۖ يَذْرَؤُكُمْ فِيهِ ۚ لَيْسَ كَمِثْلِهِ شَيْءٌ ۖ وَهُوَ السَّمِيعُ الْبَصِيرُ ١١