They’re all just valid. You haven’t got to sound yet.
The empirical facts are a vanishingly small subset of the things we can know
OK, I see what you mean better now. For one single empirical fact (sound premise) on can generate
an infinite number of sound logical sentences, which basically say the same thing in ever more complicated
ways. If p is true, (p & T) is true as are (p & T &T..). Many people have the instict that these are trivial “cambridge” truths
and don;t add up to konwing an extra countable infinity of facts every time you learn one empirical fact.
It would be intersting to think about how that pans out in terns of the JTB theory.
They’re all just valid. You haven’t got to sound yet.
‘Valid’ and ‘sound’ are predicated of arguments. ‘p → p’ and the other sentences I listed are sentences, not arguments. Sentences are true or false, not valid or invalid, nor sound or unsound.
Many people have the instict that these are trivial “cambridge” truths and don;t add up to konwing an extra countable infinity of facts every time you learn one empirical fact.
Perhaps, but it will be a pretty huge project to explain ‘know’ in a way that clearly distinguishes the ‘fake’ knowledge from the real stuff.
They’re all just valid. You haven’t got to sound yet.
OK, I see what you mean better now. For one single empirical fact (sound premise) on can generate an infinite number of sound logical sentences, which basically say the same thing in ever more complicated ways. If p is true, (p & T) is true as are (p & T &T..). Many people have the instict that these are trivial “cambridge” truths and don;t add up to konwing an extra countable infinity of facts every time you learn one empirical fact.
It would be intersting to think about how that pans out in terns of the JTB theory.
‘Valid’ and ‘sound’ are predicated of arguments. ‘p → p’ and the other sentences I listed are sentences, not arguments. Sentences are true or false, not valid or invalid, nor sound or unsound.
Perhaps, but it will be a pretty huge project to explain ‘know’ in a way that clearly distinguishes the ‘fake’ knowledge from the real stuff.