"For the grace of God has appeared, bringing salvation for all people..."
For the sake of argument, let's say this really does mean the grace of God somehow "visits" every single person. I'd like to know this:
1. How do we know that grace "undoes" Total Depravity? Where in this verse are we taught that this grace unshackles the will of man from its God-hating, in the flesh, hostile, unable to understand the things of the Spirit of God state, and brings it to a more neutral point such that it can make a libertarian free will decision? Any honest person will admit that's reading quite a lot into this verse. It's also worth noting that nowhere in the entirety of Scripture does Paul mention a 3rd category of person. Every single person living is either A) In the flesh or B) In the Spirit according to Paul. Supposed prevenient grace puts a person in a different category altogether because the attributes of this person no longer match those described by Paul of people who are in the flesh.
2. If you continue reading verse 12-14, you see this:
For the grace of God has appeared, bringing salvation for all people, training us to renounce ungodliness and worldly passions, and to live self-controlled, upright, and godly lives in the present age, waiting for our blessed hope, the appearing of the glory of our great God and Savior Jesus Christ, who gave himself for us to redeem us from all lawlessness and to purify for himself a people for his own possession who are zealous for good works. (Titus 2:11-14 ESV)
So whoever this grace of God appears to, it brings salvation, training to renounce ungodliness and worldly passions, and to live self-controlled, upright, and godly lives in the present age, waiting for our blessed hope, the appearing of the glory of our great God and Savior Jesus Christ..."
Is it true that 100% of the human race is being trained to renounce ungodliness and worldly passions, etc? Because from what I understand from Paul here, that's what this grace does. Obviously the synergists here are changing the meaning of the word "salvation" in v11 to "way of salvation" so they can shoehorn in their freewill-ism. If salvation has been brought to 100% of humanity, universalism is true.