The so-called ergodic hierarchy (EH) is a central part of ergodic theory. It is a hierarchy of properties that dynamical systems can possess. Its five levels are egrodicity, weak mixing, strong mixing, Kolomogorov, and Bernoulli. Although EH is a mathematical theory, its concepts have been widely used in the foundations of statistical physics, accounts of randomness, and discussions about the nature of chaos. We introduce EH and discuss how its applications in these fields.

Recent research has defended the surprising thesis that in many cases the search for truth is better off if the information exchanged between the members of an epistemic community is limited. This is what one may call the limited information thesis. There is, however, the possibility of an even more radical position than this: the thesis that any communication between peers has zero epistemic value and that the search for truth is better off if the truth-inquirer does not take into (...) consideration the truth-claims of her peers. This can be called the solitude thesis. The paper defends the claim that Descartes is a supporter of the solitude thesis with respect to metaphysical inquiry. The defense is facilitated by means of interpreting textual evidence found in Descartes’ essays Discourse on the Method, The Search for Truth and the Meditations on First Philosophy. (shrink)

Kant advertises his Critique of Pure Reason as fulfilling reason's "most difficult" task: self-knowledge. As it is carried out in the Critique, this investigation is meant to be "scientific and fully illuminating"; for Kant, this means that it must follow a proper method. Commentators writing in English have tended to dismiss Kant's claim that the Critique is the scientific expression of reason's self-knowledge---either taking it to be sheer rhetoric, or worrying that it pollutes the Critique with an unfortunate residue of (...) rationalism. As a result, there is little sustained treatment of the method of the Critique in the secondary literature. Since Kant holds that the substantive insights of critical philosophy are not separable from the methodological context in which they come to light, this is a serious mistake. My dissertation corrects for this, by approaching the Critique through an examination of its method. In doing so, it yields a reading of the Transcendental Deduction that not only promises to resolve current debates about its "proof structure", but also fully accounts for the Deduction's pivotal role in the work as a whole. (shrink)