Reliability, Justification, and the Problem of Induction

According to the main tradition in epistemology, knowledge is a variety of justified true belief, justification is an undefinable normative concept, and epistemic principles (principles about what justifies what) are necessary truths. According to the leading contemporary rival of the tradition, justification may be defined or explained in terms of reliability, thus permitting one to say that knowledge is reliable true belief and that epistemic principles are contingent. My aim here is to show that either of these approaches will yield a solution to the problem of induction. In particular, either of them makes it possible to ascertain the reliability of induction through induction itself. Such a procedure is usually dismissed as circular, but I shall argue that it cannot be so dismissed if either approach is correct.
As one would expect, the solution based on the traditional approach differs from the one based on the reliabilist alternative, but they have important features in common. The common elements are presented in sections I, II, and III, the elements specific to the reliabilist approach in sections IV, V, and VI, and those specific to the traditional approach in section VII.     

John Stuart Mill,Determinism, and the Problem of Induction

Auguste Comte's doctrine of the three phases through which sciences pass (the theological, the metaphysical, and the positive) allows us to explain what John Stuart Mill was attempting in his magnum opus, the System of Logic: namely, to move the science of logic to its terminal and ‘positive’ stage. Both Mill's startling account of deduction and his unremarked solution to the Humean problem of induction eliminate the notions of necessity or force—in this case, the ‘logical must’—characteristic of a science's metaphysical stage. Mill's treatment had a further surprising payoff: his solution to the Problem of Necessity (what today we call the problem of determinism and freedom of the will).     

Self,Identity, and the Natural Environment: Exploring Implicit Connections With Nature1

Using the Implicit Association Test (IAT), we examined the tendency for people to associate self with natural or built environments, the malleability of these scores across context, and the relationship between these implicit associations and explicit attitudes about environmental issues. Five studies are reported using a handheld IAT administration in a variety of field contexts. The psychometric properties of the handheld administration were comparable to those obtained with laboratory administration. The cumulative results across the 5 studies suggest that implicit self–nature associations are malleable, but that change requires long‐term or repeated experiences. Findings are interpreted within a model of environmental identity.     

Induction and Natural Necessities

Some philosophers who believe that there are necessary connections in nature take it that an advantage of their commitment is that the problem of induction is solved. This paper aims to offer a comprehensive refutation of the arguments necessitarians use to show that if natural necessities are posited, then there is no problem of induction. In section 2, two models of natural necessity are presented. The “Contingent Natural Necessity” section examines David Armstrong’s explanationist ‘solution’ to the problem of induction. The “Natural Necessity and IBE” section looks in detail into the claim that natural necessity is the best explanation of observed regularity. The “Dispositional Essentialism to the Rescue?” section moves on to Brian Ellis’s dispositional essentialist ‘solution’. The “Sankey’s Helping Hand” section examines Howard Sankey’s attempt to blend dispositional essentialism and explanationism.     

Humean Naturalism and the Problem of Induction

Naturalised epistemology has shunned rationality, a hallmark of humanity since ancient Greece. One of Quine's explicit motivations is that Hume's problem of induction cannot be solved. However, Hume himself suggests a solution and the narrow focus of the paper is to present a 'Humean Solution' which is an elaboration and defence of Hume's suggestion. What emerges will be argued to be a naturalised conception of rationality which makes naturalised epistemology more continuous with traditional epistemology's focus on rationality.     

Establishing Connections between Aristotle's Natural Deduction and First-Order Logic

This article studies the mathematical properties of two systems that model Aristotle's original syllogistic and the relationship obtaining between them. These systems are Corcoran's natural deduction syllogistic and ?ukasiewicz's axiomatization of the syllogistic. We show that by translating the former into a first-order theory, which we call T _RD, we can establish a precise relationship between the two systems. We prove within the framework of first-order logic a number of logical properties about T _RD that bear upon the same properties of the natural deduction counterpart – that is, Corcoran's system. Moreover, the first-order logic framework that we work with allows us to understand how complicated the semantics of the syllogistic is in providing us with examples of bizarre, unexpected interpretations of the syllogistic rules. Finally, we provide a first attempt at finding the structure of that semantics, reducing the search to the characterization of the class of models of T _RD.     

Cornell Realism,Explanation, and Natural Properties

The claim that ordinary ethical discourse is typically true and that ethical facts are typically knowable (ethical conservativism) seems in tension with the claim that ordinary ethical discourse is about features of reality friendly to a scientific worldview (ethical naturalism). Cornell Realism attempts to dispel this tension by claiming that ordinary ethical discourse is, in fact, discourse about the same kinds of things that scientific discourse is about: natural properties. We offer two novel arguments in reply. First, we identify a key assumption that we find unlikely to be true. Second, we identify two features of typical natural properties that ethical properties lack. We conclude that Cornell Realism falls short of dispelling the tension between ethical conservativism and ethical naturalism.     

Critical Consciousness and the Christian Conscience: Making the Necessary Connections Between Faith-Based Learning and Critical Pedagogy

Critical pedagogy is a by product of postmodernism, which argues that reality is always subjective, and truth is identified through each person's experiences and environment. Can critical pedagogy be applied to faith-based education? The authors claim that it can. First, the theories and practices of critical pedagogy have strengthened faith-based education by emphasizing self-directed students, the teacher as facilitator, and well-organized learning experiences. In fact, Jesus knew that learning required an active knowledge-creating process through one's full participation in the class. He always encouraged his disciples to transcend superficial understanding. Jesus knew that learning was not simply memorizing facts or reciting the Law of Moses. His beliefs challenged the passive learning paradigm of memorizing content established by the Jewish leaders. This article concludes that both critical pedagogists and Christian teachers would endorse problem-posing methods to encourage full engagement and effective teachers' dispositions in the classroom.     

The Problem of Necessary and Sufficient Conditions and Conceptual Analysis

In this article the standard philosophical method involving intuition‐driven conceptual analysis is challenged in a new way. This orthodox approach to philosophy takes analysanda to be the specifications of the content of concepts in the form of sets of necessary and sufficient conditions. Here it is argued that there is no adequate account of what necessary and sufficient conditions are. So, the targets of applications of the standard philosophical method so understood are not sufficiently well understood for this method to be dependable.     

Panpsychism,The Combination Problem,and Plural Collective Properties

Panpsychism claims that each fundamental entity is conscious, but then faces the problem of how such entities combine to make up our ordinary consciousness. In this paper, I show how panpsychism can avoid this so-called combination problem by taking seriously plural collective properties at the fundamental level.     

The Problem of Criteria and the Necessity of Natural Theology

Most streams of Christianity have emphasized the unknowability of God, but they have also asserted that Christ is the criterion through whom we may have limited access to the depths of God, and through whose life and death we can formulate the doctrine of God as Triune. This standpoint, however, leads to certain complications regarding ‘translating’ the Christian message to adherents of other religious traditions, and in particular the question, ‘Why do you accept Christ as the criterion?’, is one that Christian thinkers have attempted to answer in different ways. There are two influential responses to this query in recent Christian thought: an ‘evidentialist’ approach which gradually moves from a theistic metaphysics to a Christ‐centred soteriology, and an ‘unapologetic’ standpoint which takes God's self‐disclosure in Christ as the perspectival lens through which to view the world. The opposition between these two groups is primarily over the status of ‘natural theology’, that is, whether we may speak of a ‘natural’ reason, which human beings possess even outside the circle of the Christian revelation, and through which they may arrive at some minimalist understanding of the divine reality. I outline the status of ‘natural theology’ in these strands of contemporary Christian thought, from Barthian ‘Christomonism’ to post‐liberal theology to Reformed epistemology, and suggest certain problems within these standpoints which indicate the need for an appropriately qualified ‘natural theology’. Most of the criticisms leveled against ‘natural theology’, whether from secular philosophers or from Christian theologians themselves, can be put in two groups: first, the arguments for God's existence are logically flawed, and, second, even if they succeed they do not point to the Triune God that Christians worship. In contrast to such an old‐fashioned ‘natural theology’ which allegedly starts from premises self‐evidently true for all rational agents and leads through an inexorable logic to God, the qualified version is an attempt to spell out the doctrinal beliefs of Christianity such as the existence of a personal God who interacts with human beings in different ways, and outline the reasons offered in defence of such statements. In other words, without denying that Christian doctrines operate at one level as the grammatical rules which structure the Christian discourse, such a natural theology insists on the importance of the question of whether these utterances are true, in the sense that they refer to an objective reality which is independent of the Christian life‐world. Such a ‘natural theology’, as the discussion will emphasize, is not an optional extra but follows in fact from the internal logic of the Christian position on the universality of God's salvific reach.     

Text Integration and Mathematical Connections: A Computer Model of Arithmetic Word Problem Solving

Understanding arithmetic word problems involves a complex interaction of text comprehension and mathematical processes. This article presents a computer simulation designed to capture the working memory demands required in “bottomup” comprehension of arithmetic word problems. The simulation's sentence-level parser and text integration component reflect the importance of processing the problem from its original natural language presentation. Children's probability of solution was analyzed in exploratory regression analyses as a function of the simulation's sentence-level and text integration processes. Working memory variables measuring the combined effects of concepts to remember and text integration inferences account for a significant proportion of variance in children's solution probabilities across the first four grade levels (K-3). Consistent with previous results from others, which highlighted the significance of small changes in problem wording, the simulation offers a process-oriented perspective as to why natural language presentation constrains the comprehension of mathematical relationships.