The important recent book by Schurz ( 2019 ) appreciates that the no-free-lunch theorems (NFL) have major implications for the problem of (meta) induction. Here I review the NFL theorems, emphasizing that they do not only concern the case where there is a uniform prior—they prove that there are “as many priors” (loosely speaking) for which any induction algorithm _A_ out-generalizes some induction algorithm _B_ as vice-versa. Importantly though, in addition to the NFL theorems, there are many _free lunch_ theorems. (...) In particular, the NFL theorems can only be used to compare the expected performance of an induction algorithm _A_, considered in isolation, with the expected performance of an induction algorithm _B_, considered in isolation. There is a rich set of free lunches which instead concern the statistical _correlations_ among the generalization errors of induction algorithms. As I describe, the meta-induction algorithms that Schurz advocates as a “solution to Hume’s problem” are simply examples of such a free lunch based on correlations among the generalization errors of induction algorithms. I end by pointing out that the prior that Schurz advocates, which is uniform over bit frequencies rather than bit patterns, is contradicted by thousands of experiments in statistical physics and by the great success of the maximum entropy procedure in inductive inference. (shrink)

In several works on modality, G. H. von Wright presents tree structures to explain possible worlds. Worlds that might have developed from an earlier world are possible relative to it. Actually possible worlds are possible relative to the world as it actually was at some point. Many logically consistent worlds are not actually possible. Transitions from node to node in a tree structure are probabilistic. Probabilities are often more useful than similarities between worlds in treating counterfactual conditionals.

Scholars and practitioners alike indicate a movement in corporate philanthropy toward “strategic” giving, for example, giving that improves the firm's strategic position (ultimately the “bottom line”) while it benefits the recipient of the philanthropic act. Although the existence of this trend is widely accepted, it is represented in the literature most often by anecdotal evidence. This article presents the findings of a survey of corporate giving managers of U.S. firms that have had an established giving program of at least 5 (...) years, with annual giving totaling at least $200,000 each year. The data show that corporate giving managers believe their firms are becoming increasingly strategic in their philanthropic activities. The findings also indicate that institutional-, firm-, and individual-level influences combine to precipitate strategic philanthropy. These findings lend support to the belief that the nature of corporate philanthropy is evolving to fit a more competitive marketplace. (shrink)

A semantics of vagueness should reject the principle that every statement has a truth-value yet retain the classical tautologies. A many-value, non-truth-functional semantics and a semantics of super-valuations each have this result. According to the super-valuation approach, 'if a man with n hairs on his head is bald, then a man with n plus one hairs on his head is also bald' is false because it comes out false no matter how the vague predicate 'is bald' is appropriately made precise. (...) But why should a sentence in which components actually remain imprecise be regarded as actually false just because it would be false if its components were precise? On one of the alternative treatments of quantification allowed by the many-value approach, the sentence in question is assigned an intermediate value closer to 'false' than to 'true'. Despite the elegance of the super-valuation approach, there are reasons to prefer the many-value approach. (shrink)

The following statement (A) is usually abbreviated with symbols: (A) There are items X and Y, each is F, X is not identical to Y, and everything F is identical to X or is identical to Y. (A) is neither necessary nor sufficient for the existence of exactly two distinct things that are F. Some things are neither identical nor distinct. The difference between distinctness and nonidentity makes a difference in asking questions about counting, constitution, and persistence.

The epistemic arrow of time is the fact that our knowledge of the past seems to be both of a different kind and more detailed than our knowledge of the future. Just like with the other arrows of time, it has often been speculated that the epistemic arrow arises due to the second law of thermodynamics. In this paper, we investigate the epistemic arrow of time using a fully formal framework. We begin by defining a memory system as any physical (...) system whose present state can provide information about the state of the external world at some time other than the present. We then identify two types of memory systems in our universe, along with an important special case of the first type, which we distinguish as a third type of memory system. We show that two of these types of memory systems are time-symmetric, able to provide knowledge about both the past and the future. However, the third type of memory systems exploits the second law of thermodynamics, at least in all of its instances in our universe that we are aware of. The result is that in our universe, this type of memory system only ever provides information about the past. We also argue that human memory is of this third type, completing the argument. We end by scrutinizing the basis of the second law itself. This uncovers a previously unappreciated formal problem for common arguments that try to derive the second law from the “Past Hypothesis”, i.e., from the claim that the very early universe was in a state of extremely low entropy. Our analysis is indebted to prior work by one of us but expands and improves upon this work in several respects. (shrink)

We introduce a framework that can be used to model both mathematics and human reasoning about mathematics. This framework involves stochastic mathematical systems (SMSs), which are stochastic processes that generate pairs of questions and associated answers (with no explicit referents). We use the SMS framework to define normative conditions for mathematical reasoning, by defining a “calibration” relation between a pair of SMSs. The first SMS is the human reasoner, and the second is an “oracle” SMS that can be interpreted as (...) deciding whether the question–answer pairs of the reasoner SMS are valid. To ground thinking, we understand the answers to questions given by this oracle to be the answers that would be given by an SMS representing the entire mathematical community in the infinite long run of the process of asking and answering questions. We then introduce a slight extension of SMSs to allow us to model both the physical universe and human reasoning about the physical universe. We then define a slightly different calibration relation appropriate for the case of scientific reasoning. In this case the first SMS represents a human scientist predicting the outcome of future experiments, while the second SMS represents the physical universe in which the scientist is embedded, with the question–answer pairs of that SMS being specifications of the experiments that will occur and the outcome of those experiments, respectively. Next we derive conditions justifying two important patterns of inference in both mathematical and scientific reasoning: (i) the practice of increasing one’s degree of belief in a claim as one observes increasingly many lines of evidence for that claim, and (ii) abduction, the practice of inferring a claim’s probability of being correct from its explanatory power with respect to some other claim that is already taken to hold for independent reasons. (shrink)

A primary purpose of argument is to increase the degree of reasonable confidence that one has in the truth of the conclusion. A question begging argument fails this purpose because it violates what W. E. Johnson called an epistemic condition of inference. Although an argument of the sort characterized by Robert Hoffman in his response (Analysis 32.2, Dec 71) to Richard Robinson (Analysis 31.4, March 71) begs the question in all circumstances, we usually understand the charge that an argument is (...) question begging with reference to the beliefs of the person, or the sort of person, to whom the argument is directed. (shrink)

Naive mereology studies ordinary, common-sense beliefs about part and whole. Some of the speculations in this article on naive mereology do not bear directly on Peter van Inwagen's "Material Beings". The other topics, (1) and (2), both do. (1) Here is an example of Peter Unger's "Problem of the Many". How can a table be a collection of atoms when many collections of atoms have equally strong claims to be that table? Van Inwagen invokes fuzzy sets to solve this problem. (...) I claim that an alternative treatment of vagueness, supervaluations over many-value valuations, provides a better solution. (2) The Special Composition Question asks how parts compose a whole. One who rejects van Inwagen's answer in terms of constituting a life need not provide some alternative answer. Even if all answers to the Special Question fail, there are a multitude of less general composition questions that are not so difficult. (shrink)

This new edition includes three new chapters, updating the book to take into account developments in the field over the past fifteen years.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:War, Peace, and Reconciliation: A Theological Inquiry by Theodore R. WeberDavid H. MessnerWar, Peace, and Reconciliation: A Theological Inquiry Theodore R. Weber EUGENE, OR: WIPF & STOCK, 2015. 182 pp. $23.00Weber's book makes a helpful contribution to enlivening more theologically grounded strategies for peacemaking through reconciliation. It is a careful, systematic work that takes as its foundation a distinctively Christian view of [End Page 214] God's nature and (...) relation to the world. As a scholar and a pastor for over fifty years, Weber brings a much-needed, wise, and re-centered view to the questions entangled in war, peace, and reconciliation. He advises us not to look first into the realities of war for God, but to look to understand God as the context for all human conflict. He forcefully calls the reader to be a reconciler despite the intractability of conflict. The book is structured in three main parts, beginning with the theological context, then the political context, and, last, to peace, justice, and the church.The "war" that Weber addresses is interstate conflict, representing the negation of the web of relationships constituting a healthy international system. War disrupts God's plan and ruptures the right relationship between humanity and God (43–44). Throughout, Weber embraces a kind of Christian Realism, one that takes seriously the loving nature of God, the sinfulness of humanity, and the limits and possibilities for peacemaking in a human world. Downplaying the pacifistic message of Jesus, Weber highlights the necessities within a fallen world. We cannot eliminate war as a category of existence under the conditions of sin (until the eschaton), but with right orientation and action we can eliminate some war.Noting inadequacies of the just war tradition (though not dispensing with it), Weber identifies the need to ground it more firmly in theology, including enhanced attention to "just intention" as a primary criterion in evaluating the prosecution of war, displacing cause as the first question with which we must interrogate ourselves. Discernment about war and peace must be an ongoing conversation that should include people of faith as well as policymakers. Weber's theological and pastoral sensibilities, alongside his political savvy throughout, make the book a pleasurable and provocative read.The definition of reconciliation deployed is broad and complex, and Weber marshals it for powerful work. Reconciliation "is God's work—the movement of Divine grace through history, engaging all aspects of brokenness and promise and reaching its climax of fulfillment and disclosure in the life, death, and resurrection of Jesus Christ" (3). Grace continually calls humanity to enter into the work of reconciliation. Here Weber introduces the idea of relational power; more nuanced than mere substantive power, it connects to the core idea of institution building and the critical emphasis on strengthening the social fabric in the interest of peace. It is the hallmark of the reconciling transformation from systems of dominance to relationships of consent.The book raises questions regarding how to put reconciliation as described into concrete practice, responding to real cases and controversies. Also, there could be added discussion, against this theological backdrop, of what opportunities exist amid current US and global regime change to enter this reconciling activity more fully.Ultimately, the Christian context is central to understanding the ethics that Weber advances. Weber recommends a biblical foundation, one in which [End Page 215] we take the benefit of reading scripture backward from the Christ event. Such an exegetical strategy reveals that God has a plan for all of humanity, a vision of inclusiveness and reconciliation. It is from this vantage point of God's culminating vision, Weber illuminates, that we can understand and embrace human action throughout history and the meaningful, if incomplete, work of reconciliation to which we must commit ourselves, both politically and spiritually. [End Page 216]David H. MessnerEmory UniversityCopyright © 2018 Society of Christian Ethics... (shrink)

This book gathers together three dozen original essays, all by noted scholars in their fields, and designed to introduce the general reader to the latest ideas about the literary and cultural theory of the last half century, focusing on the ideas that are still alive today.

I have been a Daniel Callahan reader for over thirty years. My first published review was of Abortion: Law, Choice, and Morality. Callahan's latest book, The Five Horsemen of the Modern World: Climate, Food, Water, Disease, and Obesity, is a sustained and detailed explanation of a series of challenges facing humankind in this century. Callahan's prognosis is bleak, his analyses credible, and while hope is not lost, the moral of the story is that we had better get our act together (...) fast. Callahan argues that when we face challenges like these, rational persuasion is insufficient. Human emotions must be engaged. Without knowledgeable emotional engagement by millions of people, we are done for. It seems to me that he is really calling for a national cultural conversion experience, rather as, almost three hundred years ago, Jonathan Edwards declared that if there is a hell, it makes good sense to frighten people out of it! (shrink)

Fred Dretske holds that if one knows something, one need not eliminate every alternative to it but only the relevant alternatives. Besides defending this view in "The Pragmatic Dimension of Knowledge" ("Phil. Stud.", 40, 363-378, n 81), he makes some tentative suggestions about determining when an alternative is relevant. I discuss these suggestions and conclude that there are problems yet to be solved. I do not conclude that there are insoluble problems or that Dretske's approach is on the wrong track. (...) It is, I believe, on the right track. (shrink)

Book reviewed in this article: Suffering and the Beneficent Community: Beyond Libertarianism. By Erich H. Loewy. The Nature of Suffering and the Goals of Medicine. By Eric J. Cassell.

Everything red is colored, and all squares are polygons. A square is distinguished from other polygons by being four-sided, equilateral, and equiangular. What distinguishes red things from other colored things? This has been understood as a conceptual rather than scientific question. Theories of wavelengths and reflectance and sensory processing are not considered. Given just our ordinary understanding of color, it seems that what differentiates red from other colors is only redness itself. The Cambridge logician W. E. Johnson introduced the terms (...) determinate and determinable to apply to examples such as red and colored. Chapter XI, of Johnson's Logic, Part I (1921), “The Determinate and the Determinable,” is the main text for discussion of this distinction. (shrink)

Self-consciousness and the self -- Diachronic unity, diachronic singularity, and the subject of consciousness -- A modal argument for immateriality -- Intelligibility concerns and causal objections -- Concluding remarks.

Although the “Introduction” to the DSM makes it clear that the presence of “clinical” distress or impairment is insufficient for a diagnosis of “mental disorder” , in practice the clinician is completely unshackled from the conceptual definition and is free to decide on a case-by-case basis if “enough” distress or impairment is present, regardless of circumstances, to judge that “mental disorder” can be diagnosed. It is argued that reference to a biological or psychological dysfunction cannot raise “mental disorder” from a (...) judgment quite like “This is pornography, not literature” to a technical–scientific term because “biological dysfunction” must be tied to an outcome that is itself less ambiguous than “mental disorder,” and “psychological dysfunction” erroneously assumes that how people are supposed to think, feel, and act, regardless of circumstances, can be as uncontentious as ideas about physical well being, and in addition erroneously assumes that human behavior can be causally explained. (shrink)

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This piece continues the story line of “Where Am I?” by Dan Dennett. I am inclined to locate myself at the location of my point of view. In my fantasy stories, points of view can be far away from a brain inside a flesh-and-blood body. Points of view can also move discontinuously from one location to another.

In letter 7.24 Pliny provides his readers with a character sketch of the elderly matriarch of a distinguished and wealthy Italian family-Ummidia Quadratilla. Ummidia passed her later years as a fan of the theater; specifically, "she had pantomimes." Pliny disapproves of the shows presented by these performers, and he chastises Ummidia for her interest in pantomime. In fact he views her conduct as symptomatic of a vice among women in general: "I have heard that she herself used to relax her (...) mind with checkers or watch her pantomimes, as women do in the idleness of their sex." We should not be surprised by these comments; there was a tradition of ambivalence among the Romans toward the professions of the theater, and when women became involved with these professions, the ambivalence could turn to contempt. Given the general disposition of Roman males toward pantomime and women, modern readers should not so readily accept Pliny's assessment. By training her slaves as pantomimes, Ummidia was greatly increasing their value. From numerous ancient sources we know that the monetary value of slaves trained in the theatrical professions was among the highest accorded any slave. Moreover, because of Ummidia's endowment of a theater in her native Casinum and the performance of Ummidia's pantomimes in public games, we might say that she was the manager of a small "theatrical empire." Finally, because of the great interest in pantomime on the part of the masses and the desire of the upper classes, including members of various imperial families, to soothe these masses with games, control of popular pantomimes might have given Ummidia access to limited political power. (shrink)

Although the truth value (falsity) of "Henry knows that (dogs live in trees and beavers chew wood)" remains unchanged no matter what sentence is substituted in it for "beavers chew wood", we want not to regard the second as a truth functional component (tfc) of the first. Many definitions of "tfc" (e.g., Quine's) fail to insure satisfaction of the following principle: if p is a component of r which is in turn a component of q, then p is a tfc (...) of q if and only if 1) p is also a tfc of r, and 2) r is also a tfc of q. (shrink)

The poetic art of Edwin Arlington Robinson mirrored remarkably the sources of the American mind of his generation and the growth nurtured by these sources.