What is knowledge? and what is belief? in what way are they related and how are the different?
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Knowledge is a kind of belief (according to Plato) or, at least implies belief. What you believe and
what you know are the same, namely propositions. That is how they are related.
How are they different?
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You cannot know what is false (although you can know that some proposition is false). Knowledge
implies truth.
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You can believe what is false as well as believe what is true.
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You can believe without any evidence (although perhaps you should not do so). But unless your
evidence justifies your claim to know, you do not know.