But you do believe that 2+2=4, don't you? Belief doesn't entail knowledge, but doesn't knowledge entail belief? It sounds very odd to say "I know that p, but I don't believe that p", doesn't it? As Wittgenstein says, "What I know, I believe." (On Certainty, §177)Londoner wrote: ↑January 8th, 2018, 1:45 pmQuite. To describe something as a 'belief' has the implication that one doesn't have absolute certainty. If I believed something with absolute certainty, such that I could not conceive that I could ever be wrong, then I don't think I would recognise it as a belief. It would be 'a priori'. For example, I wouldn't say 'I believe 2 + 2 = 4'
Here's a list of statements all of which I think are true:
1. Belief doesn't entail knowledge.
2. Belief doesn't entail (subjective) certainty.
3. Belief doesn't entail (subjective) uncertainty.
4. Knowledge entails belief.
5. Knowledge-claims entail (subjective) certainty.
6. (Subjective) Certainty entails belief.
7. (Subjective) Certainty doesn't entail knowledge.
David Armstrong thought that knowledge (as opposed to knowledge-claims) doesn't entail (subjective) certainty, but I'm not quite sure this is true.