Faith vs Science - A False Dichotomy?

Paul, it’s good to see you back to your thread again. It’s been a while since I looked it over. I’ve been reviewing this afternoon.
I also read about 1/3 of the Plato article about Scientific Realism. It’s pretty long. I wonder what sections, or better, what points you find most valuable in it.
Sorry my reply is so chopped up. There hasn’t been more time to pull together something more unified.

Since the beginning of the thread, I have felt like there’s a need for some precise definitions of “faith” and a clarification of their appropriate contexts. For example, you offered Hebrews 11:1-3 in the OP, but that is part of a wider context including Hebrews 10:32-11:40, which cannot appropriately be applied to science…

32 But recall the former days when, after you were enlightened, you endured a hard struggle with sufferings, 33 sometimes being publicly exposed to reproach and affliction, and sometimes being partners with those so treated. 34 For you had compassion on those in prison, and you joyfully accepted the plundering of your property, since you knew that you yourselves had a better possession and an abiding one. 35 Therefore do not throw away your confidence, which has a great reward. 36 For you have need of endurance, so that when you have done the will of God you may receive what is promised. 37 For, “Yet a little while, and the coming one will come and will not delay; 38 but my righteous one shall live by faith, and if he shrinks back, my soul has no pleasure in him.” 39 But we are not of those who shrink back and are destroyed, but of those who have faith and preserve their souls. By Faith 11 Now faith is the assurance of things hoped for, the conviction of things not seen. 2 For by it the people of old received their commendation. 3 By faith we understand that the universe was created by the word of God, so that what is seen was not made out of things that are visible. 4 By faith Abel offered to God a more acceptable sacrifice than Cain, through which he was commended as righteous, God.

The Holy Bible: English Standard Version (Wheaton, IL: Crossway Bibles, 2016), Heb 10:32–11:4.

This can’t apply to science, if for no other reason, we have no promises from God related to science, even if we are forced to make assumptions about how to go about carrying it out (which does not constitute “faith”).

You mentioned these as giving evidential weight to faith. While I am inclined to agree with you as far as faith in Jesus goes, these are very different kinds of evidences than what is required as evidence in science. One cannot be repeated and would be hard, if not impossible to verify, the other is subjective. These should be thrown out as scientific evidence.

I think T_aquaticus expressed it well:

Moving from spiritual faith to scientific understanding and authority:

What else would this process be describing or attempting to describe? (Does anyone claim “all of reality”?)
From where would you say the current claim of authority originates?
No. It’s not faith. It’s an honest assessment that the methods used now (and whatever methods will developed and used in the future, because those keep changing) will continue to help people learn more about the world and how it works.

I think you’re really limiting your view of what is going on in the sciences.
But sure, there are whole branches that are math dependent, which I can’t even imagine. But what is the math’s purpose? In at least some areas of physics the math indicates there could be or likely is something to explore or anticipate. That “predictive” power is not treated as proof, is it? But rather gives direction to study and the development of tools to do the study.
And the math itself is an evolving tool, isn’t it? It wasn’t “just there” from the beginning.

As far as the quadrivium and trivium go, we are not bound to past educational philosophy, values and practice. They all have their glories and follies.

Hallucinations, false memories, etc. are hard to replicate in lab settings, much less in scientists employing them personally in their research. Hallucinating scientists would be found out. Lying ones are – eventually. Along with dishonest ones paid by the tobacco and oil industries.
Here I refer you to one of James’s many, many explanations of radiometric dating, how it’s done by a variety of methods and how measuring in a variety of ways helps confirm the conclusion.

Of course the observation was both wrong and right. The marvel is that empty space can be so solid, as my pinky toe regularly affirms. The other marvel is that people have learned about this aspect of the natural world by means of the senses.

Thus the ever expanding development of observational strategies and tools, the ever greater attempt to extend the reach of of our senses for observation.

In brief, I still don’t see your point about “faith” related to science. Unless you were to adopt @mitchellmckain view expressed here.

But assuming you made it, and I were convinced, then what?

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