I never took you for a solipsist, man.
Solipsism is pretty rare. I've only met one or two my whole life. It's gotta be lonely being a solipsist, y'know? They must feel like they're the only one.
What about the Pythagorean theorem? Does that not hold true in Euclidean space no matter what? Doesn't its truth-status remain unbothered by the fact that "there is no fixed point of methodology or epistemology, to which we may anchor" it? Can we really even ever suggest that the Pythagorean theorem is an illusion? I see many good reasons to think it is true... regardless of where we may place our anchors. There are facts about Euclidean space, and (I'd go further in saying, there are facts about the world) that are objectively true.
But that being said, I agree with you and Carlo Rovelli. When we try to finally decide what is true or not, we should be cautious. So long as we make careful statements and are mindful of flaws in our observation and thinking, we are good to go. (Even though even then we will still make errors.)
What do you think about intuition, inspiration and even revelation.... but without appeal to logic at all? How much valuable knowledge is that going to produce? To be fair, I think logic alone, without inspiration or imagination is ALSO rather going to be a rather bad way to pursue knowledge. But my point is this: logic is necessary in apprehending the world more clearly. It removes a lot of rubbish. It discloses additional truths and gives us access to them if we are willing to run what we already know (or think we know) through its processes.
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Which of the above things do you agree with? Which do you disagree with?
And would you mind writing a paragraph or two summarizing your basic views on epistemology?
It’s certainly remarkable that there is an order in nature, which is amenable to human reason. Those ancient Greeks do seem to have discovered fundamental truths about the world. Geometry is nevertheless an abstraction, one which works perfectly only as an ideal. When Euclidean geometry is applied to real world situations such as navigation at sea, or laying foundations for architectural projects, don’t adjustments have to be made, to account for the fact we live on the surface of a globe? So Euclidean principles do not hold true in all circumstances; and there are non-Euclidean geometries.
From Plato to Roger Penrose, the question whether maths and logic have some fundamental reality of their own, independent of human imagination, remains unresolved. Geometry is a language humans use to describe the world, with remarkable accuracy; But models of the world are not the world are they?
Regarding intuition and inspiration, I agree we are apt to lead ourselves astray if we do not submit insights thus achieved, to test by logic and reason. Epiphanies have value, and are not to be confused with hallucination or delusion; but we can wander into the latter if we allow insight to go unchallenged.
I don’t subscribe to any particular principles or doctrine of epistemology. I incline by nature towards metaphysical questions, but if I want to brush up on my French before a trip to that country, I’m probably not going to read Chomsky on the theory of language acquisition. And I don’t need to understand quantum electrodynamics, to install new lighting in my kitchen. So an interest in metaphysics need not bevincompatible with a utilitarian approach to knowledge and learning.
I think we can learn things of real value and substance, sometimes through experiment, but also through listening to teachers who we trust; which teachers do we trust though, and why? That’s a big question in itself, too big to answer here; are the best teachers in any case, the ones who encourage us to think for ourselves, and to go on asking the most difficult questions? Perhaps. Thomas Kuhn wrote that “science students are distressingly willing to receive the word from professors and texts.”* I’ve heard at least one Anglican priest say something similar about his parishioners. But who can blame an undergraduate with end of year exams to think about, or Sunday churchgoers concerned about the week ahead, for not wanting to challenge the foundations of either science or faith? Not everyone wants to address the deepest mysteries of existence, but something in many of us does, and this is where the limitations of our capacity for knowledge becomes acute. Mostly we tell ourselves stories about the world, stories we can live with, and which help us to navigate through life; if there were no truth in the stories, or the truth didn’t apply in a particular domain, they would fail us and we’d need to write new ones. Scientists do this, historians do it, whole societies do it. Most of all, we all do it about ourselves and our own lives.
Returning again to Pythagoras and Euclid, have they revealed to us certain incontrovertible, eternal truths about nature? Perhaps they have, more so than many other great minds since, including Newton and Einstein. I’ll have to think about that some more.