This book is a monograph aimed at an analysis of the reasons for fundamental theory change in science. The book was written and published in the last years of the Soviet Union, this fact explains the ‘dialectico-materialistic’ terminology used by the author.

A significant thread in Boris Hessen‟s iconic essay, The Social and Economic Roots of Newton’s Principia (1931), is his critique of Newton‟s involving God in his physics. Contra Newton, Hessen believes that nature does not need God in order to function properly. Hessen gives two, quite distinct, „internal‟ explanations of Newton‟s failure to see this. The first explanation is that Newton‟s failure is caused by his believing that motion is a mode instead of an attribute or (...) essence of matter. The second explanation is that Newton‟s failure is owed to his considering mechanical motion as the sole form of the motion of matter: Newton, in Hessen‟s view, did not realize that matter has many forms of motion which constantly transform into one another while conserving energy. In the present paper, I defend the thesis that none of these explanations can account for Newton‟s failure. Hessen‟s first explanation is problematic because even if Newton believed that motion is an attribute or essence of matter, he would still be obliged to involve God in physics. His second explanation fails too because he does not show exactly how the multiplicity and inter-transformation of forms of motion can account for nature‟s organizational structure. (shrink)

To explain Paulin J. Hountondji’s intellectual trajectory, I offer a critical account of his conception of the relationship between science and philosophy. Mapping the shift from his well-known critical writings on ethnophilosophy to his later work on scientific dependency is possible only if we recognize that Hountondji conceives of philosophy as essentially a theory of science (Wissenschaftslehre). Adequately characterizing Hountondji’s metaphilosophical orientation, however, requires greater specificity. The two most influential philosophers on Hountondji’s conception of the relationship between science and philosophy, (...) Edmund Husserl and Louis Althusser, would both have assented to the claim that philosophy is fundamentally a Wissenschaftslehre. However, they each adhered to different (and indeed contradictory) understandings of this claim. While Hountondji explicitly recognizes the dual influence of Husserl and Althusser on his conception of philosophy as a theory of science, he does not attempt to resolve the contradictions between Husserl’s understanding of the relationship between philosophy and science and Althusser’s conception of that relationship. By examining Hountondji’s relatively neglected later writings on scientific dependency, it becomes clear that his emphasis on the significance of the history and sociology of science points toward an Althusserian conception of philosophy qua theory of science rather than a Husserlian conception of what it is for philosophy to be a Wissenschaftslehre. (shrink)

This essay aims to provide an account of the differences between what I call the “Classical Marxist” conception of science which was adhered to by Marx and Engels and further developed by Boris Hessen and others on the one hand, and the conception of science which characterizes “Western Marxism” as it developed through the work of the theorists of the Frankfurt School on the other hand. I argue that Western Marxists such as Herbert Marcuse and Max Horkheimer did (...) not in fact successfully criticize the logical positivist account of the modern natural sciences. Instead I argue that they implicitly accepted the positivists’ characterization of the modern natural sciences (as they interpreted it) and then proceeded to devalue the modern natural sciences on this basis. I also show that Marcuse and Horkheimer, even though they presented themselves as revolting against the alleged “economism” of Classical Marxism, ended up endorsing a view of science which is functionally equivalent to a reductive economistic conception of science. I argue that the Classical Marxists’ conception of science is far richer and far more interesting than either a stereotyped “economistic” conception of science or the Western Marxist conception of modern science as merely an element in a historical process centered on the oppressive universalization of instrumental reasoning. (shrink)

Boris Kment takes a new approach to the study of modality that emphasises the origin of modal notions in everyday thought. He argues that the concepts of necessity and possibility originate in counterfactual reasoning, which allows us to investigate explanatory connections. Contrary to accepted views, explanation is more fundamental than modality.

This paper analyzes the historical context and systematic importance of Kant's hypothetical use of reason. It does so by investigating the role of hypotheses in Kant's philosophy of science. We first situate Kant’s account of hypotheses in the context of eighteenth-century German philosophy of science, focusing on the works of Wolff, Meier, and Crusius. We contrast different conceptions of hypotheses of these authors and elucidate the different theories of probability informing them. We then adopt a more systematic perspective to discuss (...) Kant's idea that scientific hypotheses must articulate real possibilities. We argue that Kant's views on the intelligibility of scientific hypotheses constitute a valuable perspective on scientific understanding and the constraints it imposes on scientific rationality. (shrink)

In this handbook, I put into practice my philosophical views on children's mathematics. The handbook contains brief instructions and examples of mathematical activities. In the INSTRUCTIONS section, instructions are given on how, and in part why that way, to help preschool children in their mathematical development. In the ACTIVITIES section, there are examples of activities through which the child develops her mathematical abilities.

This essay interprets Butler’s distinction between identity in the loose and popular sense and in the strict and philosophical sense. Suppose there are different standards for counting the same things. Then what are two distinct things counting strictly may be one and the same thing counting loosely. Within a given standard identity is one-one. But across standards it is many-one. An alternative interpretation using the parts-whole relation fails, because that relation should be understood as many-one identity. Another alternative making identity (...) relative to sort fails, because whole and parts can be of the same sort. (shrink)

Approximate coherentism suggests that imperfectly rational agents should hold approximately coherent credences. This norm is intended as a generalization of ordinary coherence. I argue that it may be unable to play this role by considering its application under learning experiences. While it is unclear how imperfect agents should revise their beliefs, I suggest a plausible route is through Bayesian updating. However, Bayesian updating can take an incoherent agent from relatively more coherent credences to relatively less coherent credences, depending on the (...) data observed. Thus, comparative rationality judgments among incoherent agents are unduly sensitive to luck. (shrink)

We have a much better understanding of physics than we do of consciousness. I consider ways in which intrinsically mental aspects of fundamental ontology might induce modifications of the known laws of physics, or whether they could be relevant to accounting for consciousness if no such modifications exist. I suggest that our current knowledge of physics should make us skeptical of hypothetical modifications of the known rules, and that without such modifications it’s hard to imagine how intrinsically mental aspects could (...) play a useful explanatory role. Draft version of a paper submitted to Journal of Consciousness Studies, special issue responding to Philip Goff’s Galileo’s Error: Foundations for a New Science of Consciousness. (shrink)

Construing the instantiation of a universal by a particular in terms of my theory of aspects resolves the basic mystery of this "non-relational tie", and gives theoretical unity to the four characteristics of instantiation discerned by Armstrong. Taking aspects as distinct in a way akin to Scotus's formal distinction, I suggest that instantiation is the sharing of an aspect by a universal and a particular--a kind of partial identity. This approach allows me to address Plato's multiple location and One over (...) Many problems, Bradley's problem concerning the instantiation of relations, and the problem of change. (shrink)

You may not know me well enough to evaluate me in terms of my moral character, but I take it you believe I can be evaluated: it sounds strange to say that I am indeterminate, neither good nor bad nor intermediate. Yet I argue that the claim that most people are indeterminate is the conclusion of a sound argument—the indeterminacy paradox—with two premises: (1) most people are fragmented (they would behave deplorably in many and admirably in many other situations); (2) (...) fragmentation entails indeterminacy. I support (1) by examining psychological experiments in which most participants behave deplorably (e.g., by maltreating “prisoners” in a simulated prison) or admirably (e.g., by intervening in a simulated theft). I support (2) by arguing that, according to certain plausible conceptions, character evaluations presuppose behavioral consistency (lack of fragmentation). Possible reactions to the paradox include: (a) denying that the experiments are relevant to character; (b) upholding conceptions according to which character evaluations do not presuppose consistency; (c) granting that most people are indeterminate and explaining why it appears otherwise. I defend (c) against (a) and (b). (shrink)

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. "If you love me, kiss me", a conditional imperative, mixes a declarative antecedent ("you love me") with an imperative consequent ("kiss me"); it is satisfied if you love and kiss me, violated if you love but don't kiss me, and avoided if you don't love me. So we need a logic of three -valued imperatives which mixes declaratives with imperatives. I develop such a logic. (shrink)

Eric Watkins argues that according to Kant, causation is not a relation between two events, but a relation between the “causality” of a substance and an event. It is shown that his arguments are partly based on a confusion between causation and interaction. Further, Watkins claims that for Kant, causes cannot be temporally determined. If this were true, it would follow that there can be no causal chains, and that all factors that determine the time when an effect occurs do (...) not belong to its cause. However, it is not true. In order to understand Kant, one must distinguish between causation, action, and interaction. When two substances interact, each of them does something (an event), which causes something to happen to the other one. (shrink)

Cosmological models that invoke a multiverse - a collection of unobservable regions of space where conditions are very different from the region around us - are controversial, on the grounds that unobservable phenomena shouldn't play a crucial role in legitimate scientific theories. I argue that the way we evaluate multiverse models is precisely the same as the way we evaluate any other models, on the basis of abduction, Bayesian inference, and empirical success. There is no scientifically respectable way to do (...) cosmology without taking into account different possibilities for what the universe might be like outside our horizon. Multiverse theories are utterly conventionally scientific, even if evaluating them can be difficult in practice. (shrink)

Many philosophers have argued that statistical evidence regarding group characteristics (particularly stereotypical ones) can create normative conflicts between the requirements of epistemic rationality and our moral obligations to each other. In a recent article, Johnson-King and Babic argue that such conflicts can usually be avoided: what ordinary morality requires, they argue, epistemic rationality permits. In this article, we show that as data get large, Johnson-King and Babic’s approach becomes less plausible. More constructively, we build on their project and develop a (...) generalized model of reasoning about stereotypes under which one can indeed avoid normative conflicts, even in a big data world, when data contain some noise. In doing so, we also articulate a general approach to rational belief updating for noisy data. (shrink)

Why does classical equilibrium statistical mechanics work? Malament and Zabell (1980) noticed that, for ergodic dynamical systems, the unique absolutely continuous invariant probability measure is the microcanonical. Earman and Rédei (1996) replied that systems of interest are very probably not ergodic, so that absolutely continuous invariant probability measures very distant from the microcanonical exist. In response I define the generalized properties of epsilon-ergodicity and epsilon-continuity, I review computational evidence indicating that systems of interest are epsilon-ergodic, I adapt Malament and Zabell’s (...) defense of absolute continuity to support epsilon-continuity, and I prove that, for epsilon-ergodic systems, every epsilon-continuous invariant probability measure is very close to the microcanonical. (shrink)

While there are satisfactory answers to the question “How should we teach children mathematics?”, there are no satisfactory answers to the question “What mathematics should we teach children?”. This paper provides an answer to the last question for preschool children (early childhood), although the answer is also applicable to older children. This answer, together with an appropriate methodology on how to teach mathematics, gives a clear conception of the place of mathematics in the children’s world and our role in helping (...) children develop their mathematical abilities. Briefly, children’s mathematics consists of the world of children’s internal activities that they eventually purposefully organize in order to understand and control the outside world and organize their overall activities in it. We need to support a child in mathematical activities that she does spontaneously and in which she shows interest, and we need to teach her mathematics that she is interested in developing through these activities. In doing so, we must be fully aware that the child’s mathematics is part of the child’s world of internal activities and is not outside of it. We help the child develop mathematical abilities by developing them in the context of her world and not outside of it. From the point of view of this conception, the standards established today are limiting and too focused on numbers and geometric figures: these topics are too prominent and elaborated, and other mathematical contents are subordinated to them. Adhering to the standards, we drastically limit the mathematics of the child’s world, hamper the correct mathematical development of a child, and we can turn her away from mathematics. (shrink)

The distinction between teleology and teleonomy that biologists sometimes refer to seems to be helpful in certain contexts, but it is used in several different ways and has rarely been clearly drawn. This paper discusses three prominent uses of the term “teleonomy” and traces its history back to what seems to be its first use. This use is examined in detail and then justified and refined on the basis of elements found in the philosophy of Aristotle, Kant, Anscombe and others. (...) In the course of this explication, it will also be shown how the description of end-directed processes relates to their explanation. (shrink)

Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, group theory, and set theory, I argue that a mathematical model in its final form is a junction of a set of axioms and an internal partial interpretation of the corresponding language. It follows from the analysis that (i) mathematical objects do not exist in the external world: they are our internally imagined objects, some of which, at least approximately, we can realize or represent; (ii) mathematical truths are not (...) truths about the external world but specifications (formulations) of mathematical conceptions; (iii) mathematics is first and foremost our imagined tool by which, with certain assumptions about its applicability, we explore nature and synthesize our rational cognition of it. (shrink)

In this article, logical concepts are defined using the internal syntactic and semantic structure of language. For a first-order language, it has been shown that its logical constants are connectives and a certain type of quantifiers for which the universal and existential quantifiers form a functionally complete set of quantifiers. Neither equality nor cardinal quantifiers belong to the logical constants of a first-order language.

In the early part of the paper, I attempt to explain a dispute between two parties who endorse the compositionality of language but disagree about its implications: Paul Horwich, and Jerry Fodor and Ernest Lepore. In the remainder of the paper, I challenge the thesis on which they are agreed, that compositionality can be taken for granted. I suggest that it is not clear what compositionality involves nor whether it obtains. I consider some kinds of apparent counterexamples, and compositionalist responses (...) to them in terms of covert indexicality and unspecific meanings. I argue that the last option is the best for most of the cases I consider. I conclude by stressing, as against Horwich and Fodor and Lepore, that the appropriate question concerns the extent to which compositionality obtains in a natural language, rather than whether it obtains or not, so that the answer is essentially messy, requiring detailed consideration of a wide range of examples. (shrink)

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 (...) paradox, the standard Bayesian solution, and the disputed assumption Attempts to defend the disputed assumption Attempts to refute the disputed assumption A way out for Bayesians Conclusion. (shrink)

We need modal imagination in order to extend our conception of reality - and, in particular, of human beings - beyond our immediate experience in the indexical present; and we need to do this in order to preserve the significance of human interaction. To make this leap of imagination successfully is to achieve not only insight but also an impartial perspective on our own and others' inner states. This perspective is a necessary condition of experiencing compassion for others. This is (...) the primary thesis I will try to defend in this discussion. (shrink)

A standard view in philosophy is that knowledge entails justification. Yet recent research suggests otherwise. We argue that this admirable and striking research suffers from an important limitation: participants were asked about knowledge but not justification. Thus it is possible that people attributed knowledge partly because they thought the belief was justified. Perhaps though, if given the opportunity, people would deny justification while still attributing knowledge. It is also possible that earlier findings were due to perspective taking. This paper reports (...) further research that directly addresses these questions. Our findings support the hypothesis that knowledge entails justification on the ordinary view. (shrink)

Contemporary semantic description of logic is based on the ontology of all possible interpretations, an insufficiently clear metaphysical concept. In this article, logic is described as the internal organization of language. Logical concepts -- logical constants, logical truths, and logical consequence -- are defined using the internal syntactic and semantic structure of language. For a first-order language, it has been shown that its logical constants are connectives and a certain type of quantifiers for which the universal and existential quantifiers form (...) a functionally complete set of quantifiers. Neither equality nor cardinal quantifiers belong to the logical constants of a first-order language. (shrink)

The emerging field of quantum mereology considers part-whole relations in quantum systems. Entangled quantum systems pose a peculiar problem in the field, since their total states are not reducible to that of their parts. While there exist several established proposals for modelling entangled systems, like monistic holism or relational holism, there is considerable unclarity, which further positions are available. Using the lambda operator and plural logic as formal tools, we review and develop conceivable models and evaluate their consistency and distinctness. (...) The main result is an exhaustive taxonomy of six distinct and precise models that both provide information about the mereological features as well as about the entangled property. The taxonomy is well-suited to serve as the basis for future systematic investigations. (shrink)

The essential role of language in rational cognition is analysed. The approach is functional: only the results of the connection between language, reality, and thinking are considered. Scientific language is analysed as an extension and improvement of everyday language. The analysis gives a uniform view of language and rational cognition. The consequences for the nature of ontology, truth, logic, thinking, scientific theories, and mathematics are derived.

This paper analyzes the specific shift in the meaning of “civilization” that took place in texts and documents of early American philosophical naturalism. Particularly, it will focus on the specific role that naturalization plays in the edification of a newly secularized, science-oriented, and democratic society, as well as of a naturalized conception of culture and civilization. Indeed, as the work of many philosophers and intellectuals of the Forties highlights, naturalism represents not only the banner of a new idea of civilization, (...) but at the same time becomes the symbol of a powerful postwar ideology. (shrink)

This chapter argues that the distinction between ambitious and modest transcendental arguments, developed and deployed by various authors in the wake of Stroud’s influential critique of transcendental reasoning, may be pointless when applied to transcendental arguments from performative inconsistency that have moral statements as their conclusions. If moral truth is assertorically constrained, then any modest moral transcendental argument from performative inconsistency can be converted into an ambitious moral transcendental argument. The chapter provides an account of performative inconsistency and suggests an (...) alternative to the widespread reading of transcendental conditionals in terms of an ‘if-then’-sentences whose antecedents express a proposition to the effect that some x is possible and whose consequents express a statement to the effect that some y is actual. (shrink)

The Principal Principle (PP) says that, for any proposition A, given any admissible evidence and the proposition that the chance of A is x%, one's conditional credence in A should be x%. Humean Supervenience (HS) claims that, among possible worlds like ours, no two differ without differing in the spacetime-point-by-spacetime-point arrangement of local properties. David Lewis (1986b, 1994a) has argued that PP contradicts HS, and the validity of his argument has been endorsed by Bigelow et al. (1993), Thau (1994), Hall (...) (1994), Strevens (1995), Ismael (1996), Hoefer (1997), and Black (1998). Against this consensus, I argue that PP might not contradict HS: Lewis's argument is invalid, and every attempt – within a broad class of attempts – to amend the argument fails. (shrink)

Three-dimensionalists , sometimes referred to as endurantists, think that objects persist through time by being “wholly present” at every time they exist. But what is it for something to be wholly present at a time? It is surprisingly difficult to say. The threedimensionalist is free, of course, to take ‘is wholly present at’ as one of her theory’s primitives, but this is problematic for at least one reason: some philosophers claim not to understand her primitive. Clearly the three-dimensionalist would be (...) better off if she could state her theory in terms accessible to all. We think she can. What is needed is a definition of ‘is wholly present at’ that all can understand. in this paper, we offer one. (shrink)

This article informally presents a solution to the paradoxes of truth and shows how the solution solves classical paradoxes (such as the original Liar) as well as the paradoxes that were invented as counterarguments for various proposed solutions (“the revenge of the Liar”). This solution complements the classical procedure of determining the truth values of sentences by its own failure and, when the procedure fails, through an appropriate semantic shift allows us to express the failure in a classical two-valued language. (...) Formally speaking, the solution is a language with one meaning of symbols and two valuations of the truth values of sentences. The primary valuation is a classical valuation that is partial in the presence of the truth predicate. It enables us to determine the classical truth value of a sentence or leads to the failure of that determination. The language with the primary valuation is precisely the largest intrinsic fixed point of the strong Kleene three-valued semantics (LIFPSK3). The semantic shift that allows us to express the failure of the primary valuation is precisely the classical closure of LIFPSK3: it extends LIFPSK3 to a classical language in parts where LIFPSK3 is undetermined. Thus, this article provides an argumentation, which has not been present in contemporary debates so far, for the choice of LIFPSK3 and its classical closure as the right model for the truth predicate. In the end, an erroneous critique of Kripke-Feferman axiomatic theory of truth, which is present in contemporary literature, is pointed out. (shrink)

Despite the end of the Cold War and the ascendancy of liberal democracy celebrated by Francis Fukuyama as “the end of history”, a growing number of scholars and political activists point to its inherent shortcomings. However, they have tended to dismiss it on the basis of one or two of its salient weaknesses. While this is a justifiable way to proceed, it denies the searching reader an opportunity to see the broad basis for the growing rejection of liberal democracy among (...) African political theorists. Consequently, in this article, I argue that from an African perspective, the almost hegemonic status of liberal democracy can be challenged on at least five grounds, namely, logical inconsistency, impracticability due to the largely communalistic outlook of many africans, inconsistency between affirmation and action, violation of the right to ethnic identity, and the moral imperative to assert the right to cultural emancipation. -/- I conclude by calling upon African and Africanist political theorists to utilise indigenous African political thought, coupled with emancipatory aspects of political thought from other parts of the world, to design practicable models of democracy for contemporary African states. I further conclude that in order to promote genuine inter-cultural dialogue on democratisation, people from Western cultures ought to acknowledge the equality of all cultures, and to recognise that systems of governance are part and parcel of those cultures. (shrink)

Most moral theories share certain features in common with other theories. They consist of a set of propositions that are universal, general, and hence impartial. The propositions that constitute a typical moral theory are (1) universal, in that they apply to all subjects designated as within their scope. They are (2) general, in that they include no proper names or definite descriptions. They are therefore (3) impartial, in that they accord no special privilege to any particular agent's situation which cannot (...) be justified under (2) and (3). These three features do not distinguish moral theories from other theories, nor indeed from most general categorical propositions we assert. Yet, in recent years, these features of moral theories have been the target of a certain concerted and sustained criticism, namely, that to be committed to such a moral theory, or to aspire to act in accordance with its requirements, results in what has come to be known as moral alienation. Moral alienation, according to this criticism, consists in (i) viewing one's ground projects from an impersonal, "moral point of view" engendered by one's acceptance of the theory; (ii) being prepared to sacrifice these projects to the requirements of moral principle; and (iii) making such a sacrifice specifically and self-consciously in order to conform to these requirements. Moral alienation is said to manifest itself in one (or both) of two ways, depending on the nature of the project thus susceptible to sacrifice. One may be alienated from oneself, if the project consists of tastes, convictions, or aspirations that are centrally definitive of one's self. In this case one's commitment to the project can be at best conditional on its congruence with one's moral theory. It is claimed that this must make for a rather tepid and unenthusiastic commitment indeed. Alternatively, one may be alienated from others, if the project is an interpersonal relationship such as a friendship, marriage, or collegial relationship. In this case one's responses to the other are motivated by one's awareness of what one's moral theory requires. It is claimed that this obstructs a genuine and unmediated emotional response to the other as such. My aim here will be to argue that this very compelling criticism - call it the moral-alienation criticism - is nevertheless misdirected. The real culprit is not any particular moral theory, but rather a certain familiar personality type that may or may not adopt it. (shrink)

I argue that Evolutionary Psychologists’ notion of adaptationism is closest to what Peter Godfrey-Smith (2001) calls explanatory adaptationism and as a result, is not a good organizing principle for research in the biology of human behavior. I also argue that adopting an alternate notion of adaptationism presents much more explanatory resources to the biology of human behavior. I proceed by introducing Evolutionary Psychology and giving some examples of alternative approaches to the biological explanation of human behavior. Next I characterize adaptation (...) and explain the range of biological phenomena that can count as adaptations. I go onto introduce the range of adaptationist views that have been distinguished by philosophers of biology and lay out explanatory adaptationism in detail. (shrink)

Software piracy is older than the PC and has been the subject of several studies, which have found it to be a widespread phenomenon in general, and among university students in particular. An earlier study by Cohen and Cornwell from a decade ago is replicated, adding questions about downloading music from the Internet. The survey includes responses from 224 students in entry-level courses at two schools, a nondenominational suburban university and a Catholic urban college with similar student profiles. The study (...) found that there has been few if any changes in student opinions regarding the unauthorized duplication of copy- righted materials. Students generally felt that copying commercial software and downloading music from the Internet was acceptable and found that there was no significant correlation between student attitudes and their school’s religious affiliation or lack thereof. Additionally, the study found that a small but significant percentage of respondents considered the other questionable behaviors as ethically acceptable. Finally, the reasons for these attitudes are discussed as well as what colleges can do to correct the situation. (shrink)

We provide a derivation of the Born Rule in the context of the Everett (Many-Worlds) approach to quantum mechanics. Our argument is based on the idea of self-locating uncertainty: in the period between the wave function branching via decoherence and an observer registering the outcome of the measurement, that observer can know the state of the universe precisely without knowing which branch they are on. We show that there is a uniquely rational way to apportion credence in such cases, which (...) leads directly to the Born Rule. Our analysis generalizes straightforwardly to cases of combined classical and quantum self-locating uncertainty, as in the cosmological multiverse. (shrink)

How ought we to go about forming and revising our beliefs, arguing and debating our reasons, and investigating our world? If those questions constitute normative epistemology, then I am interested here in normative metaepistemology: the investigation into how we ought to go about forming and revising our beliefs about how we ought to go about forming and revising our beliefs -- how we ought to argue about how we ought to argue. Such investigations have become urgent of late, for the (...) methodology of epistemology has reached something of a crisis. For analytic epistemology of the last half-century has relied overwhelmingly on intuitions,1 and a growing set of arguments and data has begun to call this reliance on intuition seriously into question (e.g., Weinberg, Nichols, and Stich 2001; Nichols, Stich, and Weinberg 2003; Cummins 1998). Although that method has not been entirely without defenders (BonJour 1998; Bealer 1996; Jackson 1998; Sosa forthcoming; Weatherson 2003), these defenses have not generally risen to the specific challenges leveled by the anti-intuitionist critics. In particular, the critics have attacked specific ways of deploying intuitions, and the defenders have overwhelmingly responded with in-principle defenses of the cogency of appealing to intuition. An analogy here would be someone’s responding to arguments alleging systematic.. (shrink)

Moral and political forms of constructivism accord to people strong, “constitutive” forms of discursive standing and so build on, or express, a commitment to discursive respect. The paper explores dimensions of discursive respect, i.e., depth, scope, and purchase; it addresses tenuous interdependencies between them; on this basis, it identifies limitations of the idea of discursive respect and of constructivism. The task of locating discursive respect in the normative space defined by its three dimensions is partly, and importantly, an ethical task (...) that is beyond constructivism. Interdependencies between these dimensions call into question the possibility of a plausible and coherent form of discursive respect that is deep, inclusive in scope, and rich in purchase. This does not mean that we should reject discursive respect, or constructivism, for that matter. But it suggests that the task of reconciling the dimensions of discursive respect may not allow for widely shareable results. This task needs to be addressed on non-constructivist grounds. Accordingly, we have reasons to concede that constitutive forms of discursive standing are less fundamental in the order of justification than weaker, “derivative” forms, and this is so especially if we take constitutive standing to mark an important good. (shrink)

In this article, modern standards of early years mathematics education are criticized and a proposal for change is presented. Today's early years mathematics education standards rest on a view of mathematics that became obsolete already at the end of the 19th century while the spirit of children's mathematics is precisely the spirit of modern mathematics. The proposal for change is not a return to the “new mathematics” movement, but something different.

Technological advancement makes translation convenient due to the emergence of various translation tools. This Explanatory-Sequential study aims to determine the preference and the factors affecting the preference of Filipino and Foreign college students toward the Online Translation Tool. Likewise, it also aimed to identify if there is a significant difference between the respondents' choices. To acquire the data, the researchers used a survey conducted on 15 Filipino and foreign collegiate students enrolled in universities in Manila and a focus group discussion (...) among 3 Filipino students. The transcribed data were analyzed using Thematic Analysis. Moreover, the results of the quantitative data revealed that Google Translate was the preferred Online Translation Tool of Filipino and Foreign students for the reason of accessibility, user-friendliness, and the tendency of users to brand bias. The reasons presented in quantitative data are strengthened by the themes identified in the qualitative data. The three prevailing themes of Brand Bias, Accessibility, and Accuracy constituted the central theme of User Friendliness. It was identified through the Chi-Square Test that there is no significant difference among respondents' preferences (0.345 P-Value) toward online Translation software. (shrink)

David Lewis (1980) proposed the Principal Principle (PP) and a “reformulation” which later on he called ‘OP’ (Old Principle). Reacting to his belief that these principles run into trouble, Lewis (1994) concluded that they should be replaced with the New Principle (NP). This conclusion left Lewis uneasy, because he thought that an inverse form of NP is “quite messy”, whereas an inverse form of OP, namely the simple and intuitive PP, is “the key to our concept of chance”. I argue (...) that, even if OP should be discarded, PP need not be. Moreover, far from being messy, an inverse form of NP is a simple and intuitive Conditional Principle (CP). Finally, both PP and CP are special cases of a General Principle (GP); it follows that so are PP and NP, which are thus compatible rather than competing. (shrink)

This article proposes an alternative approach to social epistemology – a comprehensive approach. It argues that the dominant approaches to social epistemology, which it identifies as communitarian and veritistic, are inadequate. It observes that the nature of the emphasis that the communitarian approach places on the epistemic community foster mindless tolerance in epistemology, which makes the pursuit of the cognitive goal of truth difficult to attain. It also observes that the veritistic approach that seeks to refocus social epistemology on the (...) pursuit of the cognitive goal of obtaining truth does this at the expense of the affective goals of social epistemology. To overcome the inadequacies of the communitarian and the veritistic approaches and to ensure that social epistemology effectively pursues its cognitive and affective goals, this article offers the comprehensive approach. This approach absorbs the virtues of the communitarian and the veritistic approaches while avoiding their errors. Hence, it thrives on a view of truth that posits an objective and a subjective dimension of truth. The objective dimension ensures that the community only fosters and never impedes social epistemological projects such that social epistemology continues to pursue the cognitive goal of truth. The subjective dimension guarantees that the concern for truth does not lead to the neglect or abandonment of the pursuit of the affective goals of social epistemology. The rationale behind this approach is that for social epistemological projects and practices to remain truly epistemological and social, they must always take into consideration the cognitive and affective features of knowledge and knowers. (shrink)

It is well-known that the entangled quantum state of a composite object cannot be reduced to the states of its parts. This quantum holism provides a peculiar challenge to formulate an appropriate mereological model: When a system is in an entangled state, which objects are there on the micro and macro level, and which of the objects carries which properties? This paper chooses a modeling approach to answer these questions: It proceeds from a systematic overview of consistent mereological models for (...) entangled systems and discusses which of them is compatible with the quantum mechanical evidence (where quantum states are understood realistically). It reveals that entangled quantum systems neither describe undivided wholes nor objects that stand in irreducible relations. The appropriate model assumes that the entangled property is an irreducible non-relational plural property carried collectively by the micro objects, while there is no macro object. In this sense, quantum holism is an instance of property holism, not of object holism. (shrink)

According to Cantor (Mathematische Annalen 21:545–586, 1883 ; Cantor’s letter to Dedekind, 1899 ) a set is any multitude which can be thought of as one (“jedes Viele, welches sich als Eines denken läßt”) without contradiction—a consistent multitude. Other multitudes are inconsistent or paradoxical. Set theoretical paradoxes have common root—lack of understanding why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of thought? Moreover, it is a logical truth that such multitudes do (...) exist. However we do not understand this logical truth so well as we understand, for example, the logical truth $${\forall x \, x = x}$$ . In this paper we formulate a logical truth which we call the productivity principle. Rusell (Proc Lond Math Soc 4(2):29–53, 1906 ) was the first one to formulate this principle, but in a restricted form and with a different purpose. The principle explicates a logical mechanism that lies behind paradoxical multitudes, and is understandable as well as any simple logical truth. However, it does not explain the concept of set. It only sets logical bounds of the concept within the framework of the classical two valued $${\in}$$ -language. The principle behaves as a logical regulator of any theory we formulate to explain and describe sets. It provides tools to identify paradoxical classes inside the theory. We show how the known paradoxical classes follow from the productivity principle and how the principle gives us a uniform way to generate new paradoxical classes. In the case of ZFC set theory the productivity principle shows that the limitation of size principles are of a restrictive nature and that they do not explain which classes are sets. The productivity principle, as a logical regulator, can have a definite heuristic role in the development of a consistent set theory. We sketch such a theory—the cumulative cardinal theory of sets. The theory is based on the idea of cardinality of collecting objects into sets. Its development is guided by means of the productivity principle in such a way that its consistency seems plausible. Moreover, the theory inherits good properties from cardinal conception and from cumulative conception of sets. Because of the cardinality principle it can easily justify the replacement axiom, and because of the cumulative property it can easily justify the power set axiom and the union axiom. It would be possible to prove that the cumulative cardinal theory of sets is equivalent to the Morse–Kelley set theory. In this way we provide a natural and plausibly consistent axiomatization for the Morse–Kelley set theory. (shrink)