On the contrary, every bit of scientific evidence across the full spectrum of study since the enlightenment points to an ancient Earth. "Well the Bible says something different," is not a counter argument. It is instead a statement of faith, that requires you to set aside your ability to reason and requires disbelief of every bit of three hundred years of accumulated knowledge. To me, that is a very thin reed on which to judge belief. I have no doubt an all knowing God did not intend a Bible to be a 21st century natural history text.
I will be the first to admit neither of us were sitting side by side with Paul and Timothy in that cell, but even a casual reading of Paul illustrates a brilliant educated mind. I am confident he would not have the least issue, other than perhaps one of morality with respect to some of our modern entertainment, with any of the scientific discoveries of mankind to date. I personally think he would marvel at the gift of intellect with which God gifted man and what he had done with it.
It is a fact that the Anglican Church was the first to give credence to the 6000 year old claim regarding the Earth's age. Anglican Arch Bishop James Ussher "calculated" it in 1650 and it gained some credence well into the 18th century because it was added to margin notes of the printed King James Bible. However, it was never part of the Anglican Canon and was largely abandoned by all organized denominations by the early 19th century due to the obvious age of the Earth which was being expanded almost daily through the new study of geology. By the late twentieth century the Anglican Church went so far as to affirm Theistic Evolution formally rejecting the Young Earth belief.
Finally, if you haven't read any of St. Augustine's admonitions to Christians with respect to the allegorical nature of Genesis, I would urge you to do so. His "On Genesis" discusses this specific issue in Book 1 Chapters 18 & 19. It is on my desk as I type. He wrote this multi-volume treatise between 405 - 415 AD. That puts him rather closer to the subject than most.
No other part of the Hebrew Scriptures, aside from the Psalter and sections of the prophet Isaiah, captured the interest and aroused the attention of the early Church as did the opening chapters of the Book of Genesis. Augustine of Hippo devoted three treatises to these chapters. The first two...
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He was a great believer in knowledge and the positive power of knowledge. This his warning to literalists echoing through the centuries to modern Christians today. We forget, to our peril, that educated believers like Augustine were well educated in the philosophical and scientific discoveries of Greek civilization.
"Now, it is a disgraceful and dangerous thing for a non-believer to hear a Christian, presumably giving the meaning of Holy Scripture, talking nonsense on these topics [the earth, the sky, the stars]; and we should take all means to prevent such an embarrassing situation, in which people show up vast ignorance in a Christian and laugh it to scorn."
St Augustine sees self-inflicted ignorance as a danger to the growth of church. Indeed, in the 5th century he saw it as a existential one. Remember the last great persecutions of Christians by Diocletian and Galerius were only one hundred years before in the 4th century. Such denial of knowledge is equally corrosive today. The goodness of the church and the majesty of God's creation are lost on potential believers by dogma that can not withstand the feeble light of even the most basic analysis. It is like the youthful son or daughter, grandson or granddaughter carefully educated in a rigid fundamentalist church, school, or home taking that first tour of the Field or Natural History Museum only to experience a crisis in faith when St Augustine would instead urge them to celebrate the vast majesty of creation.
His most celebrated work was of course "City of God."