Online research in philosophy

The block relation B(x,y) in a linear order is satisfied by elements that are finitely far apart; a block is an equivalence class under this relation. We show that every computable linear order with dense condensation-type (i.e., a dense collection of blocks) but no infinite, strongly η-like interval (i.e., with all blocks of size less than some fixed, finite k ) has a computable copy with the nonblock relation ¬ B(x,y) computably enumerable. This implies that every computable linear order has (...) a computable copy with a computable nontrivial self-embedding and that the long-standing conjecture characterizing those computable linear orders every computable copy of which has a computable nontrivial self-embedding (as precisely those that contain an infinite, strongly η-like interval) holds for all linear orders with dense condensation-type. (shrink)

: The purposes of this critical analysis are to clarify why high stakes testing reforms have become so prevalent in the United States and to explain the connection between current federal and state emphases on standardized testing reforms and educational opportunities. The article outlines the policy context for high stakes examinations, as well as the ideas of testing and accountability as major tenets of current education reform and policy. In partial explanation of the widespread acceptance and use of standardized tests (...) in the United States, we argue that there is a pervasive testing culture, in addition to other contributing factors such as administrative utility, profit motives, and political ideology. Finally, we offer a critique of high stakes testing reforms in light of concerns about equality of educational opportunity. (shrink)

This article attempts a philosophical defense of an autonomy-based approach to multicultural education. I contend that multicultural education is necessary in order for students to be able to develop personal autonomy. This, in turn, can empower students to effectively formulate their own version of the good life. The development of autonomy need not, as many critics claim, promote atomistic individualism. Rather, contemporary liberal autonomy strives for a balance between the individual and the community. In defending multicultural education, my argument relies (...) on Joseph Raz's notion of autonomy and Will Kymlicka's concept of a context of choice. I conclude that through multicultural education, students can expand their contexts of choice and consequently develop individual autonomy, an essential ingredient of the good life. (shrink)

Three classes of decidable discrete linear orders with varying degrees of effectiveness are investigated. We consider how a classical order type may lie in relation to these three classes, and we characterize by their order types elements of these classes that have effective nontrivial self-embeddings.