-
2130New foundations for imperative logic I: Logical connectives, consistency, and quantifiersNoûs 42 (4): 529-572. 2008.Imperatives cannot be true or false, so they are shunned by logicians. And yet imperatives can be combined by logical connectives: "kiss me and hug me" is the conjunction of "kiss me" with "hug me". This example may suggest that declarative and imperative logic are isomorphic: just as the conjunction of two declaratives is true exactly if both conjuncts are true, the conjunction of two imperatives is satisfied exactly if both conjuncts are satisfied—what more is there to say? Much more, I argue.…Read more
-
2990Hempel's Raven paradox: A lacuna in the standard bayesian solutionBritish Journal for the Philosophy of Science 55 (3): 545-560. 2004.According to Hempel's paradox, evidence (E) that an object is a nonblack nonraven confirms the hypothesis (H) that every raven is black. According to the standard Bayesian solution, E does confirm H but only to a minute degree. This solution relies on the almost never explicitly defended assumption that the probability of H should not be affected by evidence that an object is nonblack. I argue that this assumption is implausible, and I propose a way out for Bayesians. Introduction Hempel's parad…Read more
-
1707Aristotle on the Best Good: Is Nicomachean Ethics 1094a18-22 Fallacious?Phronesis 50 (2): 116-128. 2005.The first sentence of NE I.2 has roughly the form: "If A [there is a universal end] and B, then D [this end will be the best good]". According to some commentators, Aristotle uses B to infer A; but then the sentence is fallacious. According to other commentators, Aristotle does not use B ; but then the sentence is bizarre. Contrary to both sets of commentators, I suggest that Aristotle uses B together with A to infer validly that there is a non-instrumental – and thus unique – universal end. On …Read more
-
1906What time travelers may be able to doPhilosophical Studies 150 (1). 2010.Kadri Vihvelin, in "What time travelers cannot do" (Philos Stud 81: 315-330, 1996), argued that "no time traveler can kill the baby who in fact is her younger self, because (V1) "if someone would fail to do something, no matter how hard or how many times she tried, then she cannot do it", and (V2) if a time traveler tried to kill her baby self, she would always fail. Theodore Sider (Philos Stud 110: 115-138, 2002) criticized Vihvelin's argument, and Ira Kiourti (Philos Stud 139: 343-352, 2008) c…Read more
-
1280Respect for Persons: An Epistemic and Pragmatic InvestigationDissertation, University of Michigan. 2001.We can distinguish two concepts of respect for persons: appraisal respect , an attitude based on a positive appraisal of a person's moral character, and recognition respect , the practice of treating persons with consideration based on the belief that they deserve such treatment. After engaging in an extended analysis of these concepts, I examine two "truisms" about them. We justifiably believe of some persons that they have good character and thus deserve our esteem . Frequently it pays to be d…Read more
-
26If Y is normal with parameters μ and σ , the standard normal Z = ( Y - μ )/ σ has parameters and 1. Central Limit Theorem: For any sequence Y 1, Y 2, ... of IID random variables with expectation μ and variance σ , the cdf of Z is the limit, as n → ∞, of the cdf of ( Y 1 + Y 2 + … + Yn - nμ )/( σ √\x{D835}\x{DC5B})
Madison, Wisconsin, United States of America