In the form of inference known as inference to the best explanation there are various ways to characterise what is meant by the best explanation. This paper considers a number of such characterisations including several based on confirmation measures and several based on coherence measures. The goal is to find a measure which adequately captures what is meant by 'best' and which also yields the truth with a high degree of probability. Computer simulations are used to show that the overlap (...) coherence measure achieves this goal, enabling the true explanation to be identified almost as often as an approach which simply selects the most probable explanation. Further advantages to this approach are also considered in the case where there is uncertainty in the prior probability distribution. (shrink)

This paper considers an application of work on probabilistic measures of coherence to inference to the best explanation. Rather than considering information reported from different sources, as is usually the case when discussing coherence measures, the approach adopted here is to use a coherence measure to rank competing explanations in terms of their coherence with a piece of evidence. By adopting such an approach IBE can be made more precise and so a major objection to this mode of reasoning can (...) be addressed. Advantages of the coherence - based approach are pointed out by comparing it with several other ways to characterize ‘ best explanation ’ and showing that it takes into account their insights while overcoming some of their problems. The consequences of adopting this approach for IBE are discussed in the context of recent discussions about the relationship between IBE and Bayesianism. (shrink)

This paper provides a new approach to inference to the best explanation based on a new coherence measure for comparing how well hypotheses explain the evidence. It addresses a number of criticisms of the use of probabilistic measures in this context by Clark Glymour, including limitations of earlier work on IBE. Computer experiments are used to show that the new approach finds the truth with a high degree of accuracy in hypothesis selection tasks and that in some cases its accuracy (...) is greater than hypothesis selection based on maximizing posterior probability. Hence, by overcoming some of the problems with the previous approach, this work provides a more adequate defence of IBE and suggests that IBE not only tracks truth but also has practical advantages over the previous approach. Applications of the new approach to parameter estimation and model selection are also explored. (shrink)

This paper presents a new argument for the likelihood ratio measure of confirmation by showing that one of the adequacy criteria used in another argument can be replaced by a more plausible and better supported criterion which is a special case of the weak likelihood principle. This new argument is also used to show that the likelihood ratio measure is to be preferred to a measure that has recently received support in the literature.

Two of the probabilistic measures of coherence discussed in this paper take probabilistic dependence into account and so depend on prior probabilities in a fundamental way. An example is given which suggests that this prior-dependence can lead to potential problems. Another coherence measure is shown to be independent of prior probabilities in a clearly defined sense and consequently is able to avoid such problems. The issue of prior-dependence is linked to the fact that the first two measures can be understood (...) as measures of coherence as striking agreement, while the third measure represents coherence as agreement. Thus, prior (in)dependence can be used to distinguish different conceptions of coherence. (shrink)

How good is an explanation and when is one explanation better than another? In this paper, I address these questions by exploring probabilistic measures of explanatory power in order to defend a particular Bayesian account of explanatory goodness. Critical to this discussion is a distinction between weak and strong measures of explanatory power due to Good (Br J Philos Sci 19:123–143, 1968). In particular, I argue that if one is interested in the overall goodness of an explanation, an appropriate balance (...) needs to be struck between the weak explanatory power and the complexity of a hypothesis. In light of this, I provide a new defence of a strong measure proposed by Good by providing new derivations of it, comparing it with other measures and exploring its connection with information, confirmation and explanatory virtues. Furthermore, Good really presented a family of strong measures, whereas I draw on a complexity criterion that favours a specific measure and hence provides a more precise way to quantify explanatory goodness. (shrink)

Richard Dawkins has a dilemma when it comes to design arguments. On the one hand, he maintains that it was Darwin who killed off design and so implies that his rejection of design depends upon the findings of modern science. On the other hand, he follows Hume when he claims that appealing to a designer does not explain anything and so implies that rejection of design need not be based on the findings of modern science. These contrasting approaches lead to (...) the following dilemma: if he claims that Darwinism is necessary for rejecting design, he has no satisfactory response to design arguments based on the order in the laws of physics or the fine-tuning of the physical constants; alternatively, if Humean arguments are doing most of the work, this would undermine one of his main contentions, that atheism is justified by science and especially by evolution. In any case, his Humean arguments do not provide a more secure basis for his atheism because they are seriously flawed. A particular problem is that his argument for the improbability of theism rests on a highly questionable application of probability theory since, even if it were sound, it would only establish that the prior probability of God’s existence is low, a conclusion which is compatible with the posterior probability of God’s existence being high. (shrink)

In discussions about the existence of God, it is sometimes claimed that the progress of science has removed the need for God. This paper uses a Bayesian analysis of Ockham’s razor to formulate and evaluate this argument, which is referred to as the science explains away God argument. Four different strategies for responding to this argument are presented and evaluated. It is argued that one of these strategies highlights how difficult it is to show that the conditions for applying Ockham’s (...) razor are satisfied and hence why SEAGA is very unlikely to succeed. (shrink)

I propose a qualitative Bayesian account of explanatory goodness that is analogous to the Bayesian account of incremental confirmation. This is achieved by means of a complexity criterion according to which an explanation h is good if the reduction in the complexity of the explanandum e brought about by h (the explanatory gain) is greater than the additional complexity introduced by h in the context of e (the explanatory cost). To illustrate the account, I apply it in the context of (...) ad hoc hypotheses. (shrink)

Rope Kojonen has presented a novel argument for design in biology by drawing on insights from evolutionary science. Without objecting to the explanatory role of evolution, he argues that there is further explanatory work to be done and that this is best achieved by an appeal to design. Here, I interpret his argument, and attempt to evaluate it, as a conjunctive explanation since he appeals to two explanations to account for the purposeful order and complexity of living organisms. Understood in (...) this way, I argue that he makes a very plausible case that two explanations (evolution and design) are better than one (evolution). I also explore the role that direct guidance by God might play in such an argument. (shrink)

Competition between scientific hypotheses is not always a matter of mutual exclusivity. Consistent hypotheses can compete to varying degrees either directly or indirectly via a body of evidence. We motivate and defend a particular account of hypothesis competition by showing how it captures these features. Computer simulations of Bayesian inference are used to highlight the limitations of adopting mutual exclusivity as a simplifying assumption to model scientific reasoning, particularly due to the exclusion of hypotheses that may be true. We end (...) with a case study demonstrating the subtleties involved in hypothesis competition in scientific practice. (shrink)

Two models are developed for updating opinions in social networks under situations where certain beliefs might be considered to be competing. These two models represent different attitudes of people towards the perceived conflict between beliefs. In both models agents have a degree of tolerance, which represents the extent to which the agent takes into account the differing beliefs of other agents, and a degree of conflict, which represents the extent to which two beliefs are considered to be competing. Computer simulations (...) are used to determine how the opinion dynamics are affected by the inclusion of conflict. Results show that conflict can enhance the formation of consensus within the network in certain circumstances according to one of the models. (shrink)

Two models are developed for updating opinions in social networks under situations where certain beliefs might be considered to be competing. These two models represent different attitudes of people towards the perceived conflict between beliefs. In both models agents have a degree of tolerance, which represents the extent to which the agent takes into account the differing beliefs of other agents, and a degree of conflict, which represents the extent to which two beliefs are considered to be competing. Computer simulations (...) are used to determine how the opinion dynamics are affected by the inclusion of conflict. Results show that conflict can enhance the formation of consensus within the network in certain circumstances according to one of the models. (shrink)

Philosophers and psychologists are increasingly investigating the conditions under which multiple explanations are better in conjunction than they are individually. This book brings together leading scholars to provide an interdisciplinary and unified discussion of such "conjunctive explanations." The book starts with an introductory chapter expounding the notion of conjunctive explanation and motivating a multifaceted approach to its study. The remaining chapters are divided into three parts. Part I includes chapters on "The Nature of Conjunctive Explanations." Each chapter illustrates distinct ways (...) in which explanatory multiplicity is motivated by a careful study of the nature and concept of explanation. The second part ("Reasoning about Conjunctive Explanations") includes chapters on the epistemology and logic of conjunctive explanations. Here the contributors propose and evaluate various norms for reasoning correctly about and to conjunctive explanations. Part III concerns "The Psychology of Conjunctive Explanations," with contributions discussing conditions under which humans entertain and hold multiple explanations of single explananda simultaneously and the cognitive limitations and capacities for doing so. Conjunctive Explanations will be of interest to researchers and advanced students working on explanation in philosophy of science, epistemology, philosophical logic, and cognitive psychology. (shrink)

This is the first sustained, whole-Bible treatment on the theme of meeting God face to face. Starting with Genesis and ending with Revelation, the author systematically covers the major events in salvation history, all of which reveal the beauty of encountering God's grace in abundance.

Renaissance and Baroque, two terms unknown in the ages they describe, are now an integral part of the general public's cultural vocabulary. The first encompasses European civilization from the mid-fifteenth century to around 1550, and the second refers to developments in the seventeenth century, with the intervening fifty years forming a period of transition termed Mannerism. Beginning with the appearance of Heinrich Wölfflin's Kunst geschichtliche Grundbegriffe in 1915, these two great epochs of intellectual development have been described quite successfully by (...) juxtaposing the one with the other. Wölfffin, for example, saw five great categories of discrimination between the two, namely Linear and Painterly, Plane and Recession, Closed and Open Form (Tectonic and A-tectonic Form), Multiplicity and Unity (Multiple Unity and Unified Unity), and Clearness and Unclearness (Absolute and Relative Clearness). More recently, Wylie Sypher in Four Stages of Renaissance Style has extended the list with the polar characteristics of Cyclic-Broken (Cyclothym-Schizothym), Exact-Abstract (Representational-Nonrepresentational), Visual-Haptic, Nearseeing-Farseeing, Dark-Light, Horizontal/Vertical-Oblique/Spiraling, and Points/Lines-Planes/Volumes. (shrink)

Based on Medicine as a human experience / David E. Reiser, David H. Rosen. c1984.

This study takes a Christian perspective on the entire Bible, rather than simply the New Testament. David Wenkel asks: Why did Jesus have to be beaten before his death on the cross? Christian theology has largely focused on Jesus' death but has given relatively little attention to his sufferings. Wenkel's answer contextualizes Jesus' crucifixion sufferings as informed by the language of Proverbs. He explains that Jesus' sufferings demonstrate the wisdom of God's plan to provide a substitute for foolish sinners. (...) Jesus was beaten as a fool - even though he was no fool, in order to fulfill God's loving plan of salvation. This analysis is then placed within the larger storyline of the whole bible - from the Garden of Eden to the story of Israel and beyond. (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.

At least since Descartes, philosophers have been interested in the special knowledge or authority that we exhibit when we speak about our own thoughts, attitudes, and feelings. This book contends that even the best work in contemporary philosophy of mind fails to account for this sort of knowledge or authority because it does not pay the right sort of attention to the notion of expression. What's at stake is not only how to understand self-knowledge and first-person authority, but also what (...) it is that distinguishes conscious from unconscious psychological states, what the mental life of a nonlinguistic animal has in common with our sort of mental life, and how to think about Wittgenstein's legacy to the philosophy of mind. (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)

For a stable visual world, the colours of objects should appear the same under different lights. This property of colour constancy has been assumed to be fundamental to vision, and many experimental attempts have been made to quantify it. I contend here, however, that the usual methods of measurement are either too coarse or concentrate not on colour constancy itself, but on other, complementary aspects of scene perception. Whether colour constancy exists other than in nominal terms remains unclear.

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

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)

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)

We present a conceptual framework on the experience of time and provide a coherent basis on which to base further inquiries into qualitative approaches concerning time experience. We propose two Time-Layers and two Time-Formats forming four Time-Domains. Micro-Flow and Micro-Structure represent the implicit phenomenal basis, from which the explicit experiences of Macro-Flow and Macro-Structure emerge. Complementary to this theoretical proposal, we present empirical results from qualitative content analysis obtained from 25 healthy participants. The data essentially corroborate the theoretical proposal. With (...) respect to Flow, the phenomenally accessible time experience appeared as a continuous passage reaching from the past through the present into the future. With respect to Structure, the individual present was embedded in the individual biography, emerging from past experiences and comprising individual plans and goals. New or changing plans and goals were being integrated into the existing present, thus forming a new present. The future appeared as changeable within the present, by means from the past, and therefore as a space of potential opportunities. Exemplarily, we discuss these results in relation to previous empirical findings on deviant experiences of time in Autism Spectrum Disorder that is presumably characterized by a breakdown of Flow and concomitant compensatory repetition resulting in an overly structured time. Finally, we speculate about possible implications of these findings both for psychopathological and neuroscientific research. (shrink)

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)