The Handbook / TRI
One God in three persons.
A contradiction says something is both one and three in the same sense at the same time. The Trinity does not. It says God is one in being (one 'what') and three in person (three 'whos'). That is a mystery that stretches our minds, but it is not nonsense. And it is not a philosopher's invention: it is what you get when you take seriously both the Bible's insistence that there is only one God and its treatment of the Son and the Spirit as truly divine.
The word 'Trinity' is a one-word summary, like 'monotheism' or 'incarnation', neither of which is in the Bible either. What matters is whether the teaching is there. The New Testament repeatedly names Father, Son and Spirit together, calls each divine, and insists there is one God. Within about a century of the apostles, Christians coined the Greek word trias and the Latin trinitas to summarize what they found.
Nicaea did not invent belief in Jesus' deity; it defended it. Christians were worshipping Jesus as God within weeks of the resurrection, as the New Testament letters show, and second-century writers called him God openly. The council met because Arius denied this inherited faith. Nearly every bishop rejected his view, and Constantine later favored Arius' allies anyway. The council clarified an old belief; it did not create a new one.
Jesus wasn't praying to himself. He, the Son, was praying to the Father, a distinct person. The objection would refute the idea that Jesus and the Father are the same person, but Christians have never believed that. And because the Son truly became human, he lived a fully human life of dependence, including prayer. His prayers show his true humanity and his relationship with the Father; they do not cancel his deity.
Scripture uses impersonal images for the Spirit, but it also does things with him that only make sense for a person: he speaks, teaches, decides, intercedes, can be lied to and can be grieved. Jesus calls him 'another Helper' like himself. A force can be used; it cannot be insulted, cannot will and cannot love. The Bible presents the Spirit as a 'he', the third person of the one God.