Which would reduce the claim that the Earth was just cooling from its accretion 4.5 billion years ago to the status of "some kind of guess or speculation." This is a very uninformed position. To disallow the inference of the Hadean Earth, you have to throw out astronomy, nuclear chemistry, and various other multiple lines of evidence that the whole solar system was formed 4.5 billion years ago (versus 14 or so billion years for the universe as a whole).
To go there, you have to really want a Young Earth. It means that the laws of physics we observe now are a fluke of recent times, or just an illusion. You have disallowed any sort of forensic reconstruction of past events from present evidence. YECs happily accept the bargain. None of that stuff is important.
What the heck? I'm only disallowing inferences. Ha!
No. I don't want to be cavalier in disallowing inferences, but inferences are inferences. Furthermore, I should not be expected by law to be taught and graded on other peoples inferences. As a single observer I should be able to take the evidence that is presented to my eyes and ears and evaluate it critically and come to my own conclusions.
You say all those disciplines have evidence to support an old earth. Fine. Why should I take any more stock in what you say than what the Bible says? You say the earth revolves around the sun, yet all your life you've seen the sun rise in the east. Why should you take any more stock in what your eyes tell you than what Galileo said?
Far be it from me to disallow human reason the capacity to observe, record, and interpret evidence of past events. When I find my wallet where I last left it I can be reasonably certain a.) I was the one who last put it there, and b.) only Ichneumon could be responsible for the $100.00 that is missing.
(As if I can afford to keep that kind of cash on hand! donh still owes some rent.)