How do we know that something, such as a claim, proposition, or assertion, is true? Put differently, what constitutes evidence for a truth claim?
We don't know....... and 'evidence for truth' has failed so often, for so many differing reasons......
Is whether or not something "feels true" to us a reliable guide to whether or not it actually is true?
No..... Although experience can build upon 'intuition' and 'feeling' it is not a reliable guide on its own. Where 'feeling' helps towards truth is that wise people can 'take more interest' and 'focus more closely' upon a thing when their feelings 'ring'. Some people call these feelings 'Tells'.
Can we trust authorities, such as a person, tradition, or scripture, to tell us whether something is true?
Most sadly, No. unfortunately humans are very prone to following agendas, prone to corruptions, or just plain incompetent. We have to individually investigate to out best abilities.
Are the sciences our most reliable guides to truths?
No! I am reminded of the Grenfell Tower fire, in a building designed, tested, approved, protected...... by sciences. The people believed in the building and even obeyed the rule to 'Stay in their flats' while everything burned its way to theirs.
For those of us who enjoy saying things like, "It depends on what you mean by 'truth'.", or "It depends on what you mean by 'to know'.", here two suggested definitions:
..................OK.......
A proposition is true to the extent to which it corresponds to a state of affairs.
No. Unfortunately propositions can be untruths to the extent that they correspond to a state of affairs.
Knowledge is indefeasible justified true belief.
No....... most sadly, knowledge is a word long ago usurped by villains, deceivers, fools, as well as genuine investigators.
Feel free to use your own definitions of those words, but please make clear what your own definitions are.
That's harder! After a lifetime of smashing up people's certitudes (I regularly worked as a defence detective) all I can offer is that:-
'Knowledge is the idea that happens to be in Fashion'.
BONUS QUESTION: What, if anything, is the relationship of logic to truth?
Logic is the wise old owl building it's nest in a tree that it can not know will be cut down next week ..... truly!