Online research in philosophy

We give a brief account of some de Finetti style representation theorems for probability functions satisfying Spectrum Exchangeability in Polyadic Inductive Logic, together with applications to Non-splitting, Language Invariance, extensions with Equality and Instantial Relevance.

The series of conversations between Angela Y. Davis and Eduardo Mendieta entitled Abolition Democracy is a powerful investigation of the failed moral imagination of imperial democracies. After examining their discussion of how truncated political discourses enable abuses in both war and imprisonment, I look to the “exceptional” status of war prisons such as at Guantánamo and Abu Ghraib. I argue that domestic prisons, like international war prisons, are means for the paradigmatic functioning of the exception in modern democracy, as described (...) by Giorgio Agamben, and thus constitute no less of an “ultimate carceral threat.” Within the domestic prison, the legal status of inmates is virtually suspended and they are reduced to bare life. I conclude that we may yet share the hopes of Davis and Mendieta for an abolition democracy, and that such a democracy would bear the echoes of the unconditional sovereignty “to come” theorized by Jacques Derrida. (shrink)

We argue in favour of identifying one aspect of rational choice with the tendency to conform to the choice you expect another like-minded, but non-communicating, agent to make and study this idea in the very basic case where the choice is from a non-empty subset K of 2 A and no further structure or knowledge of A is assumed.

This essay is comprised of two unusual pairings—Immanuel Wallerstein with Michael Hardt and Antonio Negri; and Don DeLillo with William Gibson—and a thesis: We live, today, in a period of transition between modernity and postmodernity that is best characterized as what I call hyper-capitalism. The end of modernity, as described both by Wallerstein’s world-systems theory and by the “postmodern” political philosophy of the authors of Empire, does not lead us into postmodernity proper, but into a period of geopolitical chaos. (...) This chaos may be best understood, not only by closing the gap between these variegated social theorists, but also via the dystopic cyberpunk fiction of DeLillo’s Cosmopolis and Gibson’s Pattern Recognition. (shrink)

In the last couple years of George W. Bush’s reign the word “sovereignty” has been on everyone’s lips. As the U.S. prepared to invade Iraq in March 2003, those who supported the war claimed that Iraq posed a threat to U.S. security and sovereignty while those against the war argued that a preemptive strike against another sovereign nation was justified only in urgent self-defense or that U.S. sovereignty should ultimately yield to the sovereignty of international organizations such as the UN. (...) But what exactly is sovereignty?In this paper I take a few cues from Jacques Derrida’s recently published Rogues in order to analyze in detail the Platonic origins of sovereignty. I demonstrate the way in which Plato displaces or transforms a sovereignty based in convention and institutions into a sovereignty rooted in the putative knowledge of the few. Such an analysis of the origins of sovereignty can go a long way, I argue, in helping us understand and resist the policies and arguments of our sovereigns and the hidden ideas of sovereignty on which they rely. (shrink)

Rational Pavelka logic extends Lukasiewicz infinitely valued logic by adding truth constants r̄ for rationals in [0, 1]. We show that this is a conservative extension. We note that this shows that provability degree can be defined in Lukasiewicz logic. We also give a counterexample to a soundness theorem of Belluce and Chang published in 1963.

Can one extend crisp Peano arithmetic PA by a possibly many-valued predicate Tr(x) saying "x is true" and satisfying the "dequotation schema" $\varphi \equiv \text{Tr}(\bar{\varphi})$ for all sentences φ? This problem is investigated in the frame of Lukasiewicz infinitely valued logic.

This paper concerns the question of how to draw inferences common sensically from uncertain knowledge. Since the early work of Shore and Johnson (1980), Paris and Vencovská (1990), and Csiszár (1989), it has been known that the Maximum Entropy Inference Process is the only inference process which obeys certain common sense principles of uncertain reasoning. In this paper we consider the present status of this result and argue that within the rather narrow context in which we work this complete and (...) consistent mode of uncertain reasoning is actually characterised by the observance of just a single common sense principle (or slogan). (shrink)

This paper investigates the quantifier "there exist unboundedly many" in the context of first-order arithmetic. An alternative axiomatization is found for Peano arithmetic based on an axiom schema of regularity: The union of boundedly many bounded sets is bounded. We also obtain combinatorial equivalents of certain second-order theories associated with cuts in nonstandard models of arithmetic.