| Summary: | <p>According to epistemic iteration principles, epistemic states such as knowledge, belief, or certainty iterate. The KK principle, for example, states that whenever one knows something, one knows that one knows it.</p>
<p>According to epistemic preservation principles, epistemic states such knowledge, belief, or certainty are preserved under certain kinds of revisions. Knowledge preservation, for example, says that if one knows p and does not know that not q, then one knows p after revising one’s knowledge with q. </p>
<p>My thesis explores connections between epistemic iteration and preservation principles. The big picture is that iteration and preservation principles are more closely tied together than is generally acknowledged. Denying iteration principles gives us surprising reasons to deny preservation principles. Conversely, accepting preservation principles may give us surprising reasons to accept iteration principles. And some standard arguments for and against iteration principles generalise to arguments for and against preservation principles.</p>
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