The word ”know” is ambiguous, because most people aren’t epistemologists. Many people who use the word, use it like ”I believe P, because I have justification that P”. But we know now that the JTP theory of knowledge is Wrong, thanks to Kant, William James and Karl Popper.
I’m not quite sure what JTP is, but it sounds like you may have meant “JTB” for ‘Justified True Belief”, which was ultimately shown to be faulty as a basis for knowledge by Edmund Gettier in his groundbreaking paper “Is Justified True Belief Knowledge?”. The problem with JTB as a basis for knowledge, because of Edmund Gettier’s paper, is known as “The Gettier Problem”.
Why not just throw out the term “knowledge”? Credences (subjective probabilities) are well-defined. And if you have some procedure that you perform on a set of data to generate Bayes factors, you can see how well that procedure performs under different conditions. You can get logical guarantees for some procedures under some assumptions. I dunno, to me, these definitional debates always sound more like dictionary editors arguing, rather than philosophy. I don’t mean to be rude, I just don’t get how people can spend years thinking about this stuff.
Some philosophers agree and many sympathize with you. However, "knowledge" is an important epistemic achievement, and it is particularly important for philosophers (and inquirers) worried about various sorts of skepticism or skeptical possibilities, from mild to radical. You could have incredibly high and justified credences about P and still be wrong about P - that is what 'knowledge' tracks. Credences are doxastic (belief-like), not epistemic (they never amount to knowledge on their own). Furthermore, "knowledge" is not the only epistemically important concept. We also have concepts for "understanding," "ability" or "know-how," "wisdom," and so on, and for some of those credence concepts are quite orthogonal or at best watered down.
@@professorohatvassar1274 Should’ve said this earlier, but I found your video interesting and well explained. Thank you for answering, and thank you for the video.