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 article examines the relationship between the principle of double effect and justification for separation surgeries for conjoined twins. First, the principle of double effect is examined in light of its historical context. It is argued that it can only operate under an absolutist view of good and evil that is compatible with the Bible. Given this foundation for application, scenarios for separating conjoined twins are considered against the criteria for the principle of double effect. It is concluded that the (...) principle of double effect cannot be applied to cases wherein one of the twins must be killed. However, it is noted that this does not leave decision makers without options. (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.

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 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)

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)

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)

This is the first of two papers that use off-training set (OTS) error to investigate the assumption-free relationship between learning algorithms. This first paper discusses the senses in which there are no a priori distinctions between learning algorithms. (The second paper discusses the senses in which there are such distinctions.) In this first paper it is shown, loosely speaking, that for any two algorithms A and B, there are “as many” targets (or priors over targets) for which A has lower (...) expected OTS error than B as vice versa, for loss functions like zero-one loss. In particular, this is true if A is cross-validation and B is “anti-cross-validation” (choose the learning algorithm with largest cross-validation error). This paper ends with a discussion of the implications of these results for computational learning theory. It is shown that one cannot say: if empirical misclassification rate is low, the Vapnik-Chervonenkis dimension of your generalizer is small, and the training set is large, then with high probability your OTS error is small. Other implications for “membership queries” algorithms and “punting” algorithms are also discussed. (shrink)

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)

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)

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)

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)

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

A quarter of a century ago, the first systematic behavioral experiments were performed to clarify the nature of color constancy—the effect whereby the perceived color of a surface remains constant despite changes in the spectrum of the illumination. At about the same time, new models of color constancy appeared, along with physiological data on cortical mechanisms and photographic colorimetric measurements of natural scenes. Since then, as this review shows, there have been many advances. The theoretical requirements for constancy have been (...) better delineated and the range of experimental techniques has been greatly expanded; novel invariant properties of images and a variety of neural mechanisms have been identified; and increasing recognition has been given to the relevance of natural surfaces and scenes as laboratory stimuli. Even so, there remain many theoretical and experimental challenges, not least to develop an account of color constancy that goes beyond deterministic and relatively simple laboratory stimuli and instead deals with the intrinsically variable nature of surfaces and illuminations present in the natural world. (shrink)

In an anthology on panentheism, Keith Ward assesses the appropriateness of the metaphor of embodiment for God, as well as the viability of the concept of panentheism itself, as he considers the theologies of Ramanuja, Hegel, and process thought. Ward frames polar problems with respect to the analogy of self-body/God-world and to the concept of panentheism. Ramanuja and Hegel’s theologies ultimately deny the freedom and compromise the independence and otherness of the creatures. Process theology compromises divine sovereignty and perfection, making (...) God too passible to the world’s evils. This article attempts to transcend such one-sided approaches as it develops a balanced concept of panentheism and a metaphor of divine embodiment that provide for mutual influence between God and the world, wherein both the suffering and happiness of the world affect God, while maintaining sole divine causal ultimacy with respect to the world. (shrink)

A dualistic, discarnate picture haunts contemporary cognitive science of religion. Cognitive scientists of religion generally assert or assume a reductive physicalism, primarily through unconscious mental mechanisms that detect supernatural agency where none exists and a larger purpose to life when none exists. Accompanying this focus is a downplaying of conscious reflection in religious belief and practice. Yet the mind side of dualism enters into CSR in interesting ways. Some cognitive scientists turn practitioners of religion into dualists who allegedly believe in (...) disembodied spirits. By emphasizing supernatural agency, CSR neglects nonpersonal powers and meanings in religion, both in terms of magical thinking and practice and of nonpersonal conceptions of divinity. Additionally, some cognitive scientists of religion declare that all humans are innate dualists. They use this alleged dualism to explain beliefs about both an afterlife and transfers of consciousness. Finally, some call on this dualism to serve a salvific function, trying to salvage some meaning to human life. (shrink)

This article answers John Biro's "Knowability, Believability, and Begging the Question: a Reply to Sanford" in "Metaphilosophy" 15 (1984). Biro and I agree that of two argument instances with the same form and content, one but not the other can beg the question, depending on other factors. These factors include actual beliefs, or so I maintain (against Biro) with the help of some analysed examples. Brief selections from Archbishop Whatley and J S Mill suggest that they also regard reference to (...) actual beliefs as essential to explaining begging the question. (shrink)

I criticize and emend J L Mackie's account of causal priority by replacing ‘fixity’ in its central clause by 'x is a causal condition of y, but y is not a causal condition of x'. This replacement works only if 'is a causal condition of' is not a symmetric relation. Even apart from our desire to account for causal priority, it is desirable to have an account of nonsymmetric conditionship. Truth, for example, is a condition of knowledge, but knowledge is (...) not a condition of truth. My definitions of 'sufficient condition for' and 'necessary condition for' do not imply that p is a sufficient condition of q if and only if q is a necessary condition of p. (shrink)

Locke thought it was a necessary truth that no two material bodies could be in the same place at the same time. Leibniz wasn't so sure. This paper sides with Leibniz. I examine the arguments of David Wiggins in defense of Locke on this point (Philosophical Review, January 1968). Wiggins’ arguments are ineffective.

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)

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.

To accommodate vague statements and predicates, I propose an infinite-valued, non-truth-functional interpretation of logic on which the tautologies are exactly the tautologies of classical two-valued logic. iI introduce a determinacy operator, analogous to the necessity operator in alethic modal logic, to allow the definition of first-order and higher-order borderline cases. On the interpretation proposed for determinacy, every statement corresponding to a theorem of modal system T is a logical truth, and I conjecture that every logical truth on the interpretation corresponds (...) to a theorem of T. the interpretation is extended to predicate logic. A borderline case of a predicate 'F’ is neither determinately F nor determinately not-F. Traditional sorites arguments are seen to fall apart early in their gradual stepwise passage from truth to falsity. (shrink)

Many philosophic arguments concerned with infinite series depend on the mutual inconsistency of statements of the following five forms: (1) something exists which has R to something; (2) R is asymmetric; (3) R is transitive; (4) for any x which has R to something, there is something which has R to x; (5) only finitely many things are related by R. Such arguments are suspect if the two-place relation R in question involves any conceptual vagueness or inexactness. Traditional sorites arguments (...) show that a statement of form (4) can fail to be true even though it has no clear counter-example. Conceptual vagueness allows a finite series not to have any definite first member. I consider the speculative possibilities that there have been only finitely many non-overlapping hours although there has been no first hour and that space and time are only finitely divisible even though there are no smallest spatial or temporal intervals. (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.

Two fusions can be in the same place at the same time. So long as a house made of Tinkertoys is intact, the fusion of all its Tinkertoys parts coincides with the fusion of it walls and its roof. If none of the Tinkertoys is destroyed, their fusion persists through the complete disassembly of the house. (So the house is not a fusion of its Tinkertoy parts.) The fusion of the walls and roof does not persist through the complete disassembly (...) because the walls and the roof themselves do not persist. (So the walls and the roof are also not fusions of their Tinkertoy parts.). (shrink)

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 discusses the Einstein-Podolsky-Rosen paradox from a new point of view. In section II, the arguments by which Einstein, Podolsky and Rosen reach their paradoxical conclusions are presented. They are found to rest on two critical assumptions: (a) that before a measurement is made on a system consisting of two non-interacting but correlated sub-systems, the state of the entire system is exactly represented by: ψ a (r̄ 1 ,r̄ 2 )=∑ η a η τ η (r̄ 1 ,r̄ 2 (...) )=∑ i,k α ik ψ i (r̄ 1 )σ k (r̄ 2 ) (b) that the exact measurement of an observable A in one of the sub-systems is possible. In section III it is shown that assumption (b) is incorrect. Thus we conclude, as did Bohr, that the results of Einstein, Podolsky and Rosen are not valid. The arguments of section III are quite distinct from Bohr's, and therefore in Section IV this work is related to that of Bohr. (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.

The primary objects of hearing are sounds: everything we hear we hear by hearing a sound. (This claim differs from Berkeley’s that we hear only sounds and from Aristotle’s that we only hear sounds.) Colored regions are primary objects of sight, and pressure resistant regions are primary objects of perception by touch. By definition, the primary objects of perception are physical. The properties of the primary objects of perception are exactly the properties sense-datum theories attribute to sense-data. Indirect Realism holds (...) that awareness of sense-data (or something similar) mediates our perception of primary objects. Direct Realism denies this. The question when the perception of a primary object, such as parts of the surfaces of a hat and coat, is thereby the perception of a non-primary object, such as a person, is independent of the disagreement between Direct and Indirect Realism. (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)

Myles Brand and Marshall Swain advocate the principle that if A is the set of conditions individually necessary and jointly sufficient for the occurrence of B, then if C is a set of conditions individually necessary for the occurrence of B, every member of C is a member of A. I agree with John Barker and Risto Hilpinen who each argue that this principle is not true for causal necessity and sufficiency, but I disagree with their claim that it is (...) true for logical necessity and sufficiency. The original appeal of the principle may be due to confusing two kinds of totality: to say that when every member of set A obtains, then every condition necessary for E obtains is not to say that every condition necessary for E is a member of A. All the authors mentioned believe that causal necessity precludes logical necessity. I deny this on the basis of an example from kinematics. Hume has not refuted definitions of causation in terms of logically necessary and sufficient conditions, nor have Brand and Swain. (shrink)