I believe that scripture (Genesis 1:26 & Deuteronomy 6:4) conclusively reveal the Trinitarian nature of God. I rest on the authority of that. I also believe that we know by way of experience that God is Triune. He is who we are praying to (Father), the one who prompts us to pray (Holy Spirit), and the one thru whom we pray (Jesus). It makes sense that God would be super-personal as His ways are above our ways. CS Lewis drove this home with his illustration of a line, a square, and a cube. He also did it with the differing levels of effort needed to catch/find plants (easy), animals (harder), humans (50/50), spiritual forces (initiative on their side), and God (only if He reveals Himself). It makes sense that their are some aspects of His nature that are too great for even the brightest human minds to fathom. It also seems to make his timelessness before creation as a personal God reasonable, having no need of the creation. We may not grasp the concept completely, but we do experience the reality.
Even though we can have the faintest of notions of the Trinity.....I do not believe that this doctrine of God's nature is fully comprensible to our finite and inferior minds. This by no means suggests that we shouldn't concern ourselves with examining the idea in order to try to gain deeper insights though. For we should be prepared to give a reason for our faith at all times. What I want to know is if revelation is enough for something to be objectively true. Is there really a firm, trustworthy foundation in any sort of human reasoning? Or does all human reasoning have the potential to be dangerous/misleading? Does objectivity require intellectual assent or the ability to be fully comprehended? Does objectivity even require partial comprehension? Do incomprehensible facts necessarily break the laws of logic?