Approximation involves representing things in ways that might be close to the truth but are nevertheless false. Given the widespread reliance on approximations in science and everyday life, here we ask whether it is conceptually possible for false approximations to qualify as knowledge. According to the factivity account, it is impossible to know false approximations, because knowledge requires truth. According to the representational adequacy account, it is possible to know false approximations, if they are close enough to the truth for (...) present purposes. In this paper, we adopt an experimental methodology to begin testing these two theories. When an agent provides a false and practically inadequate answer, both theories predict that people will deny knowledge. But the theories disagree about an agent who provides a false but practically adequate answer: the factivity hypothesis again predicts knowledge denial, whereas the representational adequacy hypothesis predicts knowledge attribution. Across two experiments, our principal finding was that people tended to attribute knowledge for false but practically adequate answers, which supports the representational adequacy account. We propose an interpretation of existing findings that preserves a conceptual link between knowledge and truth. According to this proposal, truth is not necessary for knowledge, but it is a feature of prototypical knowledge. (shrink)

This paper focuses on the interpretation of the Italian approximative adverb quasi 'almost' by primarily looking at cases in which it modifies temporal connectives, a domain which, to our knowledge, has been largely unexplored thus far. Consideration of this domain supports the need for a scalar account of the semantics of quasi (close in spirit to Hitzeman's semantic analysis of almost, in: Canakis et al. (eds) Papers from the 28th regional meeting of the Chicago Linguistic Society, 1992). When paired (...) with suitable analyses of temporal connectives, such an account can provide a simple explanation of the patterns of implication that are observed when quasi modifies locational (e. g. quando 'when'), directional (e. g. fino 'until' and da 'since'), and event-sequencing temporal connectives (e. g. prima 'before' and dopo ' after'). A challenging empirical phenomenon that is observed is a contrast between the modification of fino and da by quasi, on the one hand, and the modification of prima and dopo by the same adverb, on the other. While quasi fino and quasi da behave symmetrically, a puzzling asymmetry is observed between quasi prima and quasi dopo. To explain the asymmetry, we propose an analysis of prima and dopo on which the former has the meaning of the temporal comparative più presto 'earlier', while the latter is seen as an atomic predicate denoting temporal succession between events (Del Prete, Nat Lang Semantics 16: 157-203, 2008). We show that the same pattern of implication observed for quasi prima is attested when quasi modifies overt comparatives, and propose a pragmatic analysis of this pattern that uniformly applies to both cases, thus providing new evidence for the claim that prima is underlyingly a comparative. A major point of this paper is a discussion of the notion of scale which is relevant for the semantics of quasi', in particular, we show that the notion of Horn (entailment-based) scale is not well-suited for handling modification of temporal connectives, and that a more general notion of scale is required in order to provide a uniform analysis of quasi as a cross-categorial modifier. (shrink)

FDE, LP and K3 are closely related to each other and admit of an intuitive informational interpretation. However, all these logics are co-NP complete, and so idealized models of how an agent can think. We address this issue by shifting to signed formulae, where the signs express imprecise values associated with two bipartitions of the corresponding set of standard values. We present proof systems whose operational rules are all linear and have only two structural branching rules that express a (...) generalized Principle of Bivalence. Each of these systems leads to defining an infinite hierarchy of tractable approximations to the respective logic, in terms of the maximum number of allowed nested applications of the two branching rules. Further, each resulting hierarchy admits of an intuitive 5-valued non-deterministic semantics. (shrink)

FDE is a logic that captures relevant entailment between implication-free formulae and admits of an intuitive informational interpretation as a 4-valued logic in which “a computer should think”. However, the logic is co-NP complete, and so an idealized model of how an agent can think. We address this issue by shifting to signed formulae where the signs express imprecise values associated with two distinct bipartitions of the set of standard 4 values. Thus, we present a proof system which consists (...) of linear operational rules and only two branching structural rules, the latter expressing a generalized rule of bivalence. This system naturally leads to defining an infinite hierarchy of tractable depth-bounded approximations to FDE. Namely, approximations in which the number of nested applications of the two branching rules is bounded. (shrink)

Beck presents an outline of the procedure of bootstrapping of integer concepts, with the purpose of explicating the account of Carey. According to that theory, integer concepts are acquired through a process of inductive and analogous reasoning based on the object tracking system, which allows individuating objects in a parallel fashion. Discussing the bootstrapping theory, Beck dismisses what he calls the "deviant-interpretation challenge"—the possibility that the bootstrapped integer sequence does not follow a linear progression after some point—as being general (...) to any account of inductive learning. While the account of Carey and Beck focuses on the OTS, in this paper I want to reconsider the importance of another empirically well-established cognitive core system for treating numerosities, namely the approximate number system. Since the ANS-based account offers a potential alternative for integer concept acquisition, I show that it provides a good reason to revisit the deviant-interpretation challenge. Finally, I will present a hybrid OTS-ANS model as the foundation of integer concept acquisition and the framework of enculturation as a solution to the challenge. (shrink)

Moral disagreement arises when two agents assign conflicting truth values to a moral statement, such as whether lying is ever permissible. While moral universalists argue that such disagreements result from at least one party being mistaken about an objective moral truth, their approach faces an epistemological challenge: the need to identify the true moral theory. In contrast, moral relativists claim that the truth of moral statements depends on the perspectives of attributors, enabling coexistence but raising questions about how to justify (...) resolutions across divergent perspectives. This essay proposes an alternative explanation: approximate interpretation. This approach avoids the universalists' epistemological burden of finding objective moral truths while offering a framework for justifiable resolutions based on the quality of interpretative approximations. Unlike relativists, who maintain that truth values do not converge, and universalists, who argue they do, this explanation remains neutral on the convergence debate. The essay demonstrates the orthogonality between the universalism-relativism debate and the challenge of explaining moral disagreements, concluding that neither universalism nor relativism offers a definitive resolution to the phenomenon of widespread moral disagreement. (shrink)

This paper expands on another which focussed on Socrates’s question: ‘How should one live?’. The present paper also focusses on the ‘meaning of life’ and ‘meaning in life’ issues, and more on rights. To fully rationally answer Socrates’s question, we need to answer the epistemic question: ‘How can one know how one should live?’. This paper attempts to answer both. And knowing how one should live fundamentally involves knowing what values one should live by. This includes which rights one should (...) have and which rights others should have. So one’s values include how one should treat all persons (and (other) animals, the environment and so on.) All this relates to what one finds meaningful in life and the meaning or point of one’s life. In sum, all the notions in this paper’s title are interrelated. The issue of rationality is crucial here. Just one example here (qualified later) is that our rationality gives us cognitively meaningful notions. ‘Rationality’ here only concerns knowledge, e.g., ways to acquire scientific knowledge, and meta-knowledge concerning values. No values or rights as such are rational or knowledge. However:- Many factors are required for human rationality to exist and develop, e.g., life, mental health and evidence-based education. Human rationality’s need for those factors, hence their value to rationality, is rationally-unquestionable – and that applies to the practised values prescribing the prescribable factors. With this, there are rationally-unquestionable rights to those factors. Those prescribable factors require certain interrelated epistemic, moral, social, political, legal, educational and other values/rights to be practised. This implies a pro-rationality values-theory with one obligatory, general end – a uniquely rationally-unquestionable end. This end provides the basis for answering Socrates’s question as rationally (correctly) as is possible for values/rights. That end is fundamentally epistemic, namely ‘Be pro-rationality’, yet the theory has deeply-humanly-meaningful, universal applications. It has implications for current and all possible moral, social, political, legal, educational, environmental etc issues. E.g., the theory shows that human rationality crucially requires love and certain other emotions, health-care, education and upbringing. These require certain right to be respected and practised. With this, the paper discusses affection, free speech, journalism, psychotherapy, political and sexual consent, responsibilities, freedom and government. The theory’s general sub-values prescribe much prescribed by some other theories, e.g., broad and deep knowledge-acquisition (in certain areas), rationally-critical thinking, non-sexism, non-racism, general types of liberalism, holistic flourishing, happiness, unselfishness and fairness. However, all other values-theories lack pro-rationality theory’s maximum possible rational-unquestionability, internal coherence and coherence with rationality. The theory encourages (the right to) total freedom in a-rationality areas, areas irrelevant to its obligatory end. The theory inherently requires its advocates to be (self )critical, rationally viewing the theory’s necessarily human-suggested specifics as often fallible or unavoidably approximate. So the theory is a work-in-progress. (shrink)

Recent work on interpretability in machine learning and AI has focused on the building of simplified models that approximate the true criteria used to make decisions. These models are a useful pedagogical device for teaching trained professionals how to predict what decisions will be made by the complex system, and most importantly how the system might break. However, when considering any such model it’s important to remember Box’s maxim that "All models are wrong but some are useful." We focus (...) on the distinction between these models and explanations in philosophy and sociology. These models can be understood as a "do it yourself kit" for explanations, allowing a practitioner to directly answer "what if questions" or generate contrastive explanations without external assistance. Although a valuable ability, giving these models as explanations appears more difficult than necessary, and other forms of explanation may not have the same trade-offs. We contrast the different schools of thought on what makes an explanation, and suggest that machine learning might benefit from viewing the problem more broadly. (shrink)

We present a novel approach to defining the mathematical constant π through the infinite den- sification of a sweeping net, which approximates a circle as the net becomes infinitely dense. By developing and enhancing notation related to sweeping nets and saddle maps, we establish a rigor- ous framework for expressing π in terms of the densification process using reverse integration. This method, inspired by the concept that numbers ”come from infinity,” leverages a reverse integral approach to model the transition from (...) infinite densification to the finite circle. Our work not only offers a new perspective on the geometric interpretation of π but also provides insights into reverse integration techniques and their applications in mathematical analysis. (shrink)

Strong nativist views about numerical concepts claim that human beings have at least some innate precise numerical representations. Weak nativist views claim only that humans, like other animals, possess an innate system for representing approximate numerical quantity. We present a new strong nativist model of the origins of numerical concepts and defend the strong nativist approach against recent cross-cultural studies that have been interpreted to show that precise numerical concepts are dependent on language and that they are restricted to (...) speakers of languages with the right kind of structure. (shrink)

In this paper I offer a defence of a Russellian analysis of the referential uses of incomplete (mis)descriptions, in a contextual setting. With regard to the debate between a unificationist and an ambiguity approach to the formal treatment of definite descriptions (introduction), I will support the former against the latter. In 1. I explain what I mean by "essentially" incomplete descriptions: incomplete descriptions are context dependent descriptions. In 2. I examine one of the best versions of the unificationist “explicit” approach (...) given by Buchanan and Ostertag. I then show that this proposal seems unable to treat the normal uses of misdescriptions. I then accept the challenge of treating misdescriptions as a key to solving the problem of context dependent descriptions. In 3. I briefly discuss Michael Devitt’s and Joseph Almog’s treatments of referential descriptions, showing that they find it difficult to explain misdescriptions. In 4. I suggest an alternative approach to DD as contextuals, under a normative epistemic stance. Definite descriptions express (i) what a speaker should have in mind in using certain words in a certain context and (ii) what a normal speaker is justified in saying in a context, given a common basic knowledge of the lexicon. In 5. I define a procedure running on contextual parameters (partiality, perspective and approximation) as a means of representing the role of pragmatics as a filter for semantic interpretation. In 6. I defend my procedural approach against possible objections concerning the problem of the boundaries between semantics and pragmatics, relying on the distinction between semantics and theory of meaning. (shrink)

In this paper I argue that the search for explainable models and interpretable decisions in AI must be reformulated in terms of the broader project of offering a pragmatic and naturalistic account of understanding in AI. Intuitively, the purpose of providing an explanation of a model or a decision is to make it understandable to its stakeholders. But without a previous grasp of what it means to say that an agent understands a model or a decision, the explanatory strategies will (...) lack a well-defined goal. Aside from providing a clearer objective for XAI, focusing on understanding also allows us to relax the factivity condition on explanation, which is impossible to fulfill in many machine learning models, and to focus instead on the pragmatic conditions that determine the best fit between a model and the methods and devices deployed to understand it. After an examination of the different types of understanding discussed in the philosophical and psychological literature, I conclude that interpretative or approximation models not only provide the best way to achieve the objectual understanding of a machine learning model, but are also a necessary condition to achieve post hoc interpretability. This conclusion is partly based on the shortcomings of the purely functionalist approach to post hoc interpretability that seems to be predominant in most recent literature. (shrink)

The limitations and unsuitability of the twentieth century intellectual marvel, the quantum mechanics for the task of unraveling working of human consciousness is critically analyzed. The inbuilt traits of the probabilistic, approximate and imprecise nature of quantum mechanical approach are brought out. -/- The limitations and the unsuitability of using such knowledge for the understanding of precise, correct, finite and definite happenings of activities relating to human consciousness and mind, which are not quantum in nature, are pointed out. -/- (...) Analytical methods interpreting philosophical and Indian spiritual analyses suiting the unraveling of working of human consciousness and mind over the deductive approach of quantum physics and advanced mathematics are highlighted. A model of human consciousness and mental functions is presented taking ideas from the Upanishads and related texts. -/- Comparisons with theological interpretations of Upanishadic insight are dealt with to have an idea of working of human consciousness and mind in relation to spirituality. (shrink)

This paper argues for an interpretation of Leibniz’s claim that physics requires both mechanical and teleological principles as a view regarding the interpretation of physical theories. Granting that Leibniz’s fundamental ontology remains non-physical, or mentalistic, it argues that teleological principles nevertheless ground a realist commitment about mechanical descriptions of phenomena. The empirical results of the new sciences, according to Leibniz, have genuine truth conditions: there is a fact of the matter about the regularities observed in experience. Taking this (...) stance, however, requires bringing non-empirical reasons to bear upon mechanical causal claims. This paper first evaluates extant interpretations of Leibniz’s thesis that there are two realms in physics as describing parallel, self-sufficient sets of laws. It then examines Leibniz’s use of teleological principles to interpret scientific results in the context of his interventions in debates in seventeenth-century kinematic theory, and in the teaching of Copernicanism. Leibniz’s use of the principle of continuity and the principle of simplicity, for instance, reveal an underlying commitment to the truth-aptness, or approximate truth-aptness, of the new natural sciences. The paper concludes with a brief remark on the relation between metaphysics, theology, and physics in Leibniz. (shrink)

Scientific realism is a thesis about the success of science. Most traditionally: science has been so successful at prediction and guiding action because its best theories are true (or approximately true or increasing in their degree of truth). If science is in the business of doing its best to generate true theories, then we should turn to those theories for explanatory knowledge, predictions, and guidance of our actions and decisions. Views that are popular in contemporary philosophy of science about scientific (...) modeling and the centrality of idealization create several challenges for this traditional form of scientific realism. Yet the basic idea behind scientific realism that science has been and will continue to be epistemically successful is deeply appealing. This chapter explores the challenges posed by idealization and scientific modeling to motivate a scientific realism fully divorced from the idea that science is in the business of generating true theories. On the resulting view, the objects of scientific knowledge are causal patterns, so this knowledge only ever provides partial, simplified accounts of a complex reality. This variety of selective realism better accommodates the nature of our present-day scientific successes and offers an interpretation of scientific progress that resists the antirealist’s pessimism. (shrink)

Philosophers are granted the liberty to envision René Descartes presenting his questions and meditations in a controlled philosophical environment devoid of human and intellectual epistemic accumulation. In this conceptual experiment, Descartes is assumed to operate from a purely abstract mind, uninhabited by any knowledge of existence, regardless of its simplicity. Additionally, the controlled environment mandates that no interpretation, explanation, or validation of concepts or metaphysical terms is permitted until those ideas are substantiated independently. This paper posits that "René Descartes" (...) existed in a hypothetical setting approximately 5,000 years ago. Discovering his self-awareness between the ages of three and four, he perceives his existence in solitude, eventually hypothesizing that his parents might have abandoned or passed away, leaving him within the natural surroundings of Earth, with various living and non-living entities. In this isolated setting, the paper discusses essential elements of Descartes' meditations, particularly existence and the concept of a complete deity, while deliberately circumventing any of Descartes' discussions that involve metaphysical constructs such as time or soul. The purpose is to explore whether human cognition can engage in reflection and contemplation without reverting to humanity's epistemic repository or ambiguous terms, possibly demonstrating the mind’s intrinsic capacity to comprehend and recognize phenomena potentially deemed metaphysical, thereby deducing their essence, purpose, and mode of operation. -/- . (shrink)

Philosophers are granted the liberty to envision René Descartes presenting his questions and meditations in a controlled philosophical environment devoid of human and intellectual epistemic accumulation. In this conceptual experiment, Descartes is assumed to operate from a purely abstract mind, uninhabited by any knowledge of existence, regardless of its simplicity. Additionally, the controlled environment mandates that no interpretation, explanation, or validation of concepts or metaphysical terms is permitted until those ideas are substantiated independently. This paper posits that "René Descartes" (...) existed in a hypothetical setting approximately 5,000 years ago. Discovering his self-awareness between the ages of three and four, he perceives his existence in solitude, eventually hypothesizing that his parents might have abandoned or passed away, leaving him within the natural surroundings of Earth, with various living and non-living entities. In this isolated setting, the paper discusses essential elements of Descartes' meditations, particularly existence and the concept of a complete deity, while deliberately circumventing any of Descartes' discussions that involve metaphysical constructs such as time or soul. The purpose is to explore whether human cognition can engage in reflection and contemplation without reverting to humanity's epistemic repository or ambiguous terms, possibly demonstrating the mind’s intrinsic capacity to comprehend and recognize phenomena potentially deemed metaphysical, thereby deducing their essence, purpose, and mode of operation. (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)

The word data (sing. datum) is originally Latin for “things given or granted”. Because of such a humble and generic meaning, the term enjoys considerable latitude both in its technical and in its common usage, for almost anything can be referred to as a “thing given or granted” (Cherry [1978]). With some reasonable approximation, four principal interpretations may be identified in the literature. The first three captures part of the nature of the concept and are discussed in the next section. (...) The fourth is the most fundamental and satisfactory, so it is discussed separately, in section three. On its basis, some further clarifications about the nature of data are introduced in sections four to six. A reminder about the social, legal and ethical issues raised by the use of data concludes this entry. (shrink)

Scientific realism is the view that our best scientific theories can be regarded as (approximately) true. This is connected with the view that science, physics in particular, and metaphysics could (and should) inform one another: on the one hand, science tells us what the world is like, and on the other hand, metaphysical principles allow us to select between the various possible theories which are underdetermined by the data. Nonetheless, quantum mechanics has always been regarded as, at best, puzzling, if (...) not contradictory. As such, it has been considered for a long time at odds with scientific realism, and thus a naturalized quantum metaphysics was deemed impossible. Luckily, now we have many quantum theories compatible with a realist interpretation. However, scientific realists assumed that the wave-function, regarded as the principal ingredient of quantum theories, had to represent a physical entity, and because of this they struggled with quantum superpositions. In this paper I discuss a particular approach which makes quantum mechanics compatible with scientific realism without doing that. In this approach, the wave-function does not represent matter which is instead represented by some spatio-temporal entity dubbed the primitive ontology: point-particles, continuous matter fields, space-time events. I argue how within this framework one develops a distinctive theory-construction schema, which allows to perform a more informed theory evaluation by analyzing the various ingredients of the approach and their inter-relations. (shrink)

Goffman’s (1959) dramaturgical identity theory requires modification when theorising about presentations of self on social media. This chapter contributes to these efforts, refining a conception of digital identities by differentiating them from ‘corporatised identities’. Armed with this new distinction, I ultimately argue that social media platforms’ production of corporatised identities undermines their users’ autonomy and digital well-being. This follows from the disentanglement of several commonly conflated concepts. Firstly, I distinguish two kinds of presentation of self that I collectively refer to (...) as ‘expressions of digital identity’. These digital performances (boyd 2007) and digital artefacts (Hogan 2010) are distinct, but often confused. Secondly, I contend this confusion results in the subsequent conflation of corporatised identities – poor approximations of actual digital identities, inferred and extrapolated by algorithms from individuals’ expressions of digital identity – with digital identities proper. Finally, and to demonstrate the normative implications of these clarifications, I utilise MacKenzie’s (2014, 2019) interpretation of relational autonomy to propose that designing social media sites around the production of corporatised identities, at the expense of encouraging genuine performances of digital identities, has undermined multiple dimensions of this vital liberal value. In particular, the pluralistic range of authentic preferences that should structure flourishing human lives are being flattened and replaced by commercial, consumerist preferences. For these reasons, amongst others, I contend that digital identities should once again come to drive individuals’ actions on social media sites. Only upon doing so can individuals’ autonomy, and control over their digital identities, be rendered compatible with social media. (shrink)

This paper proposes a novel theoretical framework for reconciling quantum mechanics with relativity that leads to a theory of quantum gravity by examining the fundamental nature of time. In the first section we argue that it is possible to perform an experiment for oneself in which, with enough ‘internal technology’ it is possible to distinguish between one’s experience of time on the one hand, and one’s thoughts about one’s experience of time on the other hand. The former gives McTaggart's A-series (...) (future/present/past) and the latter gives McTaggart’s B-series (earlier/simultaneous/later). Several arguments are then given for why this should work, and several Gedankenexperiments, including Einstein’s Train, are explored and it is shown how they can be solved using this notion of time. These series lead directly to the Presentist Fragmentalist interpretation of quantum mechanics [Merriam 2022a]. To a first approximation, quantum mechanics primarily operates in the A-series and relativity operates in the B-series. The interpretation is used to propose a theory of quantum gravity, where the A-series and the B-series become mixed. It is then shown how this theory leads to the Schrodinger equation in one limit and General Relativity in another limit. (shrink)

According to the Theory of the Second Best, in non-ideal circumstances, approximating ideals might be suboptimal (with respect to a specific interpretation of what “approximating an ideal” means). In this paper, I argue that the formal model underlying the Theory can apply to problems in epistemology. Two applications are discussed: First, in some circumstances, second-best problems arise in Bayesian settings. Second, the division of epistemic labour can be subject to second-best problems. These results matter. They allow us to evaluate (...) the claim, made by many philosophers, that second-best problems have import in epistemology (and the specific conditions under which the Theory finds applications). They also allow us to see that talk of “approximating an ideal” is ambiguous, and to clarify the conditions in which approximating an epistemic ideal might be beneficial. (shrink)

In this article, we discuss some of the challenges related to formulating and adopting a realist position regarding non-relativistic quantum mechanics. In a standard approach to ontology, the ontological commitments of scientific theories can be extracted from them. Scientific realism is the standpoint that our best scientific theories are approximately true, and thus, their ontological commitments, roughly speaking, correspond to reality. Quantum mechanics complicates this view by introducing an interpretational requirement that links a particular conception of how reality should be (...) to the theory. This generates comprehensive difficulties: when we separate theory and interpretation, we have a clear conception of theory but not of interpretation and how to extract its ontology. On the other hand, if we somehow identify theory and interpretation, we have a reasonably clear conception of the desired ontology but lose our best characterizations of theory, rendering our methods for extracting ontology ineffective. Our aim is to map out the challenges for future rigorous realist approaches to quantum mechanics. (shrink)

I claim that Heisenberg’s notion of a closed theory and its analysis by Erhard Scheibe fit well with the philosophy of later Wittgenstein or its generalization. The notion of a closed theory corresponds to the notions of a form of life and rule/concept. I suggest the possibility of reconciling the views of Heisenberg, Dirac, and Bohr about inter-theoretical relations within a rational naturalistic pragmatism à la Wittgenstein and Robert Brandom’s analytic interpretation of Kantian synthetic unity of apperception. In particular, (...) I explain why a “closed theory” is “closed”, “accurate” (and even “perfect”), and “final” (as Heisenberg claims), and why it is also “open” and “approximate” in Dirac’s sense. That being said, unlike Alisa Bokulich (2004, 2006, 2008), I rather favour Heisenberg’s philosophical position. (shrink)

In this three-part paper, my concern is to expound and defend a conception of science, close to Einstein's, which I call aim-oriented empiricism. I argue that aim-oriented empiricsim has the following virtues. (i) It solve the problem of induction; (ii) it provides decisive reasons for rejecting van Fraassen's brilliantly defended but intuitively implausible constructive empiricism; (iii) it solves the problem of verisimilitude, the problem of explicating what it can mean to speak of scientific progress given that science advances from one (...) false theory to another; (iv) it enables us to hold that appropriate scientific theories, even though false, can nevertheless legitimately be interpreted realistically, as providing us with genuine , even if only approximate, knowledge of unobservable physical entities; (v) it provies science with a rational, even though fallible and non-mechanical, method for the discovery of fundamental new theories in physics. In the third part of the paper I show that Einstein made essential use of aim-oriented empiricism in scientific practice in developing special and general relativity. I conclude by considering to what extent Einstein came explicitly to advocate aim-oriented empiricism in his later years. (shrink)

Published with great thanksgiving for Yaohushua, the living One Yahowah, "Jesus Christ." -/- In previous work, Formalizing Mechanical Analysis Using Sweeping Net Methods I, sweeping net methods have been extended to complex analysis, relying on the argument of complex functions defined on the unit circle. In this paper, we reformulate these methods purely within a real-valued and geometric framework, avoiding the use of complex analysis. By redefining the sweeping net constructs and the associated theorems using real functions and geometric interpretations (...) on the unit circle, we demonstrate how singularities and their approximations can be effectively analyzed without the need for imaginary numbers. This approach provides intuitive geometric insights and broadens the applicability of sweeping net methods in mathematical analysis. (shrink)

The Bhagavad Gītā has inspired more interpretive controversy than any other religious scripture in India’s history. The Gītā, a philosophical and spiritual poem of approximately seven hundred verses, is part of the ancient Sanskrit epic, the Mahābhārata. In the Gītā, the Lord Kṛṣṇa, who appears in the form of a charioteer, imparts spiritual teachings to the warrior Arjuna and convinces him to fight in a just war that entails the slaughter of many of Arjuna’s own relatives and loved ones. Śaṅkara, (...) the great eighth-century champion of the Advaita school of philosophy, wrote the first extant commentary on the Gītā. In this commentary, Śaṅkara interpreted the Gītā strictly in accordance with Advaita.. (shrink)

It is often claimed that the theory of function levels proposed by Frege in Grundgesetze der Arithmetik anticipates the hierarchy of types that underlies Church’s simple theory of types. This claim roughly states that Frege presupposes a type of functions in the sense of simple type theory in the expository language of Grundgesetze. However, this view makes it hard to accommodate function names of two arguments and view functions as incomplete entities. I propose and defend an alternative interpretation of (...) first-level function names in Grundgesetze into simple type-theoretic open terms rather than into closed terms of a function type. This interpretation offers a still unhistorical but more faithful type-theoretic approximation of Frege’s theory of levels and can be naturally extended to accommodate second-level functions. It is made possible by two key observations that Frege’s Roman markers behave essentially like open terms and that Frege lacks a clear criterion for distinguishing between Roman markers and function names. (shrink)

The main aim of this essay is to try to clarify a central question concerning the coherence of emergent dualism. The question is approximately this: how should we articulate and defend emergent dualism, if emergence is mostly interpreted as a kind of supervenience, and supervenience is rejected by the supporters of dualism together with the dependence of the mental on the physical. What should an adequate conception of emergence look like? This essay will be part of an attempt to provide (...) an answer to this question. (shrink)

It is well known that Kant distinguishes between two kinds of self-consciousness: transcendental apperception and empirical apperception (or, approximately, inner sense). However, Kant sometimes claims that “I think,” the general expression of transcendental apperception, expresses an indeterminate empirical inner intuition (IEI), which differs in crucial ways from the empirical inner intuition produced by inner sense. Such claims undermine Kant’s conceptual framework and constitute a recalcitrant obstacle to understanding his theory of self-consciousness. This paper analyzes the relevant passages, evaluates the major (...) interpretations of IEI, revisits the notion of pure apperception, and proposes an alternative reading: IEI is a ubiquitous, nonfocal, “obscure,” and empirical inner intuition that is built into all nonintrospective conscious states. This reading can successfully account for the peculiarities of IEI, resolving a major mystery in Kant’s theory of self-consciousness. (shrink)

The closing chapters of Aristotle’s Nicomachean Ethics x are regularly described as “puzzling,” “extremely abrupt,” “awkward,” or “surprising” to readers. Whereas the previous nine books described—sometimes in lavish detail—the multifold ethical virtues of an embodied person situated within communities of family, friends, and fellow-citizens, NE x 6-8 extol the rarified, god-like and solitary existence of a sophos or sage (1179a32). The ethical virtues that take up approximately the first half of the Ethics describe moral exempla who experience fear fighting for (...) their communities, are sensitive to the esteem and recognition of others, and feel love for a desire to live together with a wide variety of kinds of friends. Such good people take pleasure in prudently expending sums to improve their communities—communities in which they exchange goods and participate in ruling and being ruled in a cooperative fashion. The exemplum of x 7-8, by contrast, is a person whose activity consists almost entirely in exercising his or her mind (nous)—a part of one’s soul that Aristotle explicitly notes is disconnected from human emotions and that can be exercised, insofar as one as wise, in a wholly solitary fashion (1178a15-16, a19-20; 1177a33-34). Although Aristotle’s claim that a “life in accord with the mind” is best and most pleasant (1178a6-7) may jar the intuitions of many people—he himself endorses Anaxagoras’ claim that the happy person will appear as “someone who is absurd” (atopos, 1179a15) to most people—it is false to claim that his conclusions in NE x 6-8 are unexpected or unanticipated, or that the text is in any way discontinuous with what precedes it. The Nicomachean Ethics exhibits aspects of ring-composition both within the work as a whole and within book 10. In NE i 5 Aristotle introduces his rendition of a trope that he inherits (most immediately) from Plato, viz. that the problem of the good can be considered like a contest between three different kinds of life—the life of enjoyment (apolaustikos), the life of politics (politikos), and the life of contemplation (theôrêtikos). NE x 6-8 returns to that contest, rendering a verdict about which life takes first, second, and third place. As the opening lines of NE x 6 note, that verdict presupposes central claims articulated between the first and last books of the Ethics, specifically about the nature of the virtues, the nature of friendship, and the nature of pleasure. NE i 5 and x 6-8 thus serve as “bookends” which encase arguments and proposition located between them. Book 10 exhibits a similar ring-composition. NE x opens with methodological reflection on the gap between the theoretical positions that thinkers articulate and the way they live their lives (especially in the case of scolds who simultaneously criticize pleasure on a scientific level but seek it on a practical level [1172a33-b8]). Chapter 8 concludes with an explicit reiteration of the methodological point, a reiteration that underscores how Aristotle’s treatment of the contest of lives incorporates central aspects of the discussion of pleasure in NE x 1-5. Aristotle’s reiteration of the problem of a gap between theory and practice also draws attention to the centrality of his treatment of pleasure in his adjudication of the three lives. Although the life of pleasure takes a distant third in the contest of lives, the contemplative life wins the contest in part because it itself is the most pleasant form of life. The central philosophical problem looming behind Aristotle’s treatment of the contest of lives concerns the relationship between the notion of activity (energeia) and the notion of a way of life (bios). In the last four decades, much of the scholarship on NE x 6-8 has sought to address the question of what activities a certain way of life includes or excludes. “Monistic” or “dominant” end interpretations of the best life have viewed it as including only contemplative activities whereas “inclusivist” end interpretations of the best life have viewed it as including non-contemplative activities. Although this chapter largely side-steps this debate—partially because there are ample recent first-rate introductory treatments of the debate, partially because I have addressed the question elsewhere in my own writing —I argue that focusing solely on the contest between the two best ways of life overshadows the way that Aristotle incorporates insights from the third way of life into the best way of life. Although the notion of a contest among different kinds of lives presupposes that the lives are mutually exclusive, Aristotle has no problem saying that the contemplative life trumps the life of pleasure because the contemplative life is more pleasant. I proceed in two parts. In the first part I examine what I will call the “outer” ring of the Ethics, namely the relationship between the contest of lives proposed in NE i 5 and its overall resolution in x 6-8. I show how i 5 and x 6 establish the framework for the contest, how x 7 adjudicates that contest in large part by relying upon premises articulated in the interim between books 1 and 10, and how x 6 and x 8 determine the second and third place positions in the contest. In the second part I focus on what I will call the “inner” ring of NE x. More than half of NE x struggles with the nature of pleasure, its role in a happy life, and the methodological problems of examining pleasure within a practical science. I show how x 1 and x 8 are “bookends” that underscore the methodological problem of examining pleasure and how the contest of lives draws upon the proximate conclusions concerning the nature of pleasure in NE x 1-5. (shrink)

I explore the critical significance of the phenomenological notion of intuition. I argue that there is no meaning that is originally formal-conceptual. The meanings of concepts function as symbolic approximations to original nonconceptual, intuitive givens. However, the meaning content originally intuitively given in lived experience has a tendency to be lost in pursuit of universalizability and communicability of conceptual content. Over time, conceptual approximations lose their reference to the experience that had given them their meaning in the first place. The (...) loss of an experiential reference makes for a vacuous set of concepts, giving way to ideologies, by which I mean the conscious prejudicial support for a set of ideas without the experiential, intuitive context that is necessary to see the value of those ideas. A critical phenomenology is a critique of ideological views by descriptively recovering the intuitive content whereby concepts can be adequately reevaluated. -/- This main aim of this work is to establish the methodological features of critical phenomenology by responding to the objections made against phenomenology and intuition by Frankfurt School critical theorists. Scheler’s phenomenology is used as a way forward due to his far-reaching critique of reason and emphasis on the phenomenological intuition of value. -/- Chapter 1 considers three Frankfurt School objections of Husserlian phenomenology, as (1) immanentist (Adorno), (2) idealist (Adorno), and (3) normatively empty (Habermas). Each fail to discern the subtle features of nonidentity with respect to Husserl’s notions of apperception and adumbrated phenomena. -/- Chapter 2 shows how Scheler’s original view of the phenomenological attitude makes more explicit Husserl’s subtle dialectical elements. Adequate and inadequate givenness is interpreted with respect to one’s intentional orientation and the moral attitudes carried within the world, influencing the content of the given. -/- Chapter 3 confronts the popular charge of idealism. Reality is a problem for phenomenology only to conscious modes of givenness. But through ecstatic modes of givenness (in resistances) Scheler’s phenomenology achieves an existential ground that is crucial for phenomenology to engage actually existing social structures and factors. -/- Chapter 4 concerns the charge that phenomenology is normatively empty. That Scheler had developed a theory of value is not enough to rebut the charge but his view of value-givenness as an attitude informed by the act of loving, opens an awareness of the values disclosed by that attitude. -/- Chapter 5 shows that Scheler’s sociology of knowledge, in contrast to Karl Mannheim’s interpretation, provides a unified picture of the interdependency of spirit and life needed for the realization of values in the world and society. -/- Chapter 6 suggests a way of framing a phenomenological critique of ideology. Scheler points to the attitudinal factors of loving and hating to disclose systemic devaluation and overvaluation. This awareness arises (1) from noticing how individual valuation reflects social valuation, and (2) by being attuned to how one’s own intuitions contradict prevailing social valuation and thought, thereby opening a space for a critique of those patterns. (shrink)

It is tempting to think (1) that we may sometimes have hopelessly utopian duties and yet (2) that “ought” implies “can.” How might we square these apparently conflicting claims? A simple solution is to interpret hopelessly utopian duties as duties to "pursue" the achievement of manifestly unattainable outcomes (as opposed to duties to "achieve" the outcomes), thereby promising to vindicate the possibility of such duties in a way that is compatible with “ought” implies “can.” The main challenge for this simple (...) solution is to say what the relevant “duties to pursue” are supposed to involve. We survey several existing candidates (duties to try, duties to approximate, duties to do our part, and dynamic duties) and argue that none of them succeeds in delivering on the promise of the simple solution. We then propose a previously untheorized class of duties that we call "duties to devote ourselves" to achieving an outcome, and argue that such duties provide us with an interpretation of hopelessly utopian duties that is up to the task. (shrink)

The paper discusses this year’s Nobel Prize in physics for experiments of entanglement “establishing the violation of Bell inequalities and pioneering quantum information science” in a much wider, including philosophical context legitimizing by the authority of the Nobel Prize a new scientific area out of “classical” quantum mechanics relevant to Pauli’s “particle” paradigm of energy conservation and thus to the Standard model obeying it. One justifies the eventual future theory of quantum gravitation as belonging to the newly established quantum information (...) science. Entanglement, involving non-Hermitian operators for its rigorous description, non-unitarity as well as nonlocal and superluminal physical signals “spookily” (by Einstein’s flowery epithet) synchronizing and transferring some nonzero action at a distance, can be considered to be quantum gravity so that its local counterpart to be Einstein’s gravitation according to general relativity therefore pioneering an alternative pathway to quantum gravitation different from the “secondary quantization” of the Standard model. So, the experiments of entanglement once they have been awarded by the Nobel Prize launch particularly the relevant theory of quantum gravitation grounded on “quantum information science” thus granted to be nonclassical quantum mechanics in the shared framework of the generalized quantum mechanics obeying rather quantum-information conservation than only energy conservation. The concept of “dark phase” of the universe naturally linked to the very well confirmed “dark matter” and “dark energy” and opposed to its “light phase” inherent to classical quantum mechanics and the Standard model obeys quantum-information conservation, after which reversible causality or the mutual transformation of energy and information are valid. The mythical Big Bang after which energy conservation holds universally is to be replaced by an omnipresent and omnitemporal medium of decoherence of the dark and nonlocal phase into the light and local phase. The former is only an integral image of the latter and borrowed in fact rather from religion than from science. Physical, methodological and proper philosophical conclusions follow from that paradigm shift heralded by this year’s Nobel Prize in physics. For example, the scientific theory of thinking should originate from the dark phase of the universe, as well: probably only approximately modeled by neural networks physically belonging to the light phase thoroughly. A few crucial philosophical sequences follow from the break of Pauli’s paradigm: (1) the establishment of the “dark” phase of the universe as opposed to its “light” phase, only to which the Cartesian dichotomy of “body” and “mind” is valid; (2) quantum information conservation as relevant to the dark phase, furthermore generalizing energy conservation as to its light phase, productively allowing for physical entities to appear “ex nihilo”, i.e., from the dark phase, in which energy and time are yet inseparable from each other; (3) reversible causality as inherent to the dark phase; (4) the interpretation of gravitation only mathematically: as an interpretation of the incompleteness of finiteness to infinity, for example, following the Gödel dichotomy (“either contradiction or incompleteness”) about the relation of arithmetic to set theory; (5) the restriction of the concept of hierarchy only to the light phase; (6) the commensurability of both physical extremes of a quantum and the universe as a whole in the dark phase obeying quantum information conservation and akin to Nicholas of Cusa’s philosophical and theological worldview. (shrink)

The term “Presocratics” refers to a group of Greek thinkers who lived not later than Socrates and who were not decisively influenced by him. They are often referred to as the first philosophers as they represent the dawn of human speculation in the West. The essay examines the fragments of major Presocratics - Thales, Anaximander, Anaximenes, Heraclitus, Pythagoras, Parmenides, Empidocles and Anaxagoras, which contain their views and arguments as reported by subsequent authors. Although these fragments are incomplete and are based (...) on secondary quotations, it is possible to sift through them and develop coherent and logical interpretations that approximate the original idea and intentions of these philosophers. The aim of this essay is to shed light on the philosophical meaning and significance of the concept of Arche (ἀρχή) – an untranslatable Greek word that connotes origin, principle, first in the series, or source, which constitutes the central thread of speculation among the Presocratics and their most influential contribution to the history of Western thought. (shrink)

Since there is no really elaborated theory of the dialectic of nature, it is not only desirable but necessary to take a look at some of Hegel's original intuitions, which in many cases lost their distinctness in his later works, or fell victim to the exigencies of his system. Philosophy makes use not only of reasoning but also of intuition. In respect of the mass which offers persistent resistance to a notional solution, it is important to find a suitable image (...) for developing a first approximation to the understanding of the question. According to Hegel, the metaphors of circular and gyratory motion are well-suited for this. Here it is essential to clarify what we can gain by a structural interpretation of such ideas. I think that an attempt has to be made to bring out the contemporary relevance of the topic. Doing so is always a delicate matter, but it is a must if undertakings of the present kind are to be anything more than philological expositions of Hegel's philosophy, if they are to make a real contribution to reflection on the foundations of physics. I shall first give a brief review of the arguments put forward in the Encyclopedia; then I shall analyse Hegel's interpretation of circular and gyratory motion and discuss the possibility of bringing out the relevance of his ideas; finally, I shall draw certain conclusions in respect of the principles involved in comprehending the divisibility of matter, and in putting forward a philosophical interpretation of the theory of relativity. (shrink)

Cyclic mechanic is intended as a suitable generalization both of quantum mechanics and general relativity apt to unify them. It is founded on a few principles, which can be enumerated approximately as follows: 1. Actual infinity or the universe can be considered as a physical and experimentally verifiable entity. It allows of mechanical motion to exist. 2. A new law of conservation has to be involved to generalize and comprise the separate laws of conservation of classical and relativistic mechanics, and (...) especially that of conservation of energy: This is the conservation of action or information. 3. Time is not a uniformly flowing time in general. It can have some speed, acceleration, more than one dimension, to be discrete. 4. The following principle of cyclicity: The universe returns in any point of it. The return can be only kinematic, i.e. per a unit of energy (or mass), and thermodynamic, i.e. considering the universe as a thermodynamic whole. 5. The kinematic return, which is per a unit of energy (or mass), is the counterpart of conservation of energy, which can be interpreted as the particular case of conservation of action “per a unit of time”. The kinematic return per a unit of energy (or mass) can be interpreted in turn as another particular law of conservation in the framework of conservation of action (or information), namely conservation of wave period (or time). These two counterpart laws of conservation correspond exactly to the particle “half” and to the wave “half” of wave-particle duality. 6. The principle of quantum invariance is introduced. It means that all physical laws have to be invariant to discrete and continuous (smooth) morphisms (motions) or mathematically, to the axiom of choice. The list is not intended to be exhausted or disjunctive, but only to give an introductory idea. (shrink)

Contemporary reluctance to consider any complicity between philosophy and religion has led to an inability to consider, in Hegel studies, how the revelatory agency of the Absolute necessarily complements the narrative of human reason. According to Hegel, reason alone can do no more than end in the endless limitations of actuality, in the infinite approximations of a moral summum bonum and in the ad infinitum strivings for concrete political freedom. Recognizing where revelatory agency occurs in Hegel’s Science allows us to (...) recognize the Idea’s freedom in the worldly, human expressions of art, religion and philosophy, in their philosophical study within the state University. Without such recognition, both Left and Right fields of Hegel interpretation tend to evaluate the success (or failure) of his philosophy based on inflated, unrealistic expectations of what is meant by “actuality.”. (shrink)

The Confucian family, not only in its historical manifestations but also in the imagination of the Confucian founders, was the locus of misogynist norms and practices that have subjugated women in varying degrees. Therefore, advancing women’s well-being and equality in East Asia may seem to require radically transforming the Confucian family to approximate alternative ideal conceptions of the family in the West. This article opposes such a stance by arguing that (1) Western conceptions of the family may be neither (...) plausible nor feasible in traditionally Confucian societies and (2) the Confucian family, once reconstructed in line with Confucianism’s core ideas and values, can be conducive to a feminist future in East Asia that is uniquely Confucian. In order to support my position, not only influential contemporary Western ideal conceptions of the family from the justice perspective and care ethics, but also different interpretations of the Confucian family will be carefully examined. (shrink)

Bu kitapta, Ebû İshâk es-Saffâr’ın (öl. 534/1139) kelâmî görüşleri, Telḫîṣü’l-edille li-ḳavâʿidi’t-tevḥîd adlı eserinde Allah’ın isimlerinin anlamlarını açıklarken yaptığı yorumlar çerçevesinde ele alınmaktadır. Ebû İshâk es-Saffâr, 6./12. yüzyıl Hanefî-Mâtürîdî âlimlerinden biridir. Kelâma dair Telḫîṣü’l-edille eserinde esmâ-i hüsnâ konusuna ayrıntılı olarak yer vermektedir. İki cilt hâlinde yayımlanan bu eserin yaklaşık üçte birlik bir kısmını esmâ-i hüsnâ konusu oluşturmaktadır. Bu kısım incelendiğinde, Saffâr’ın Allah’ın varlığı, birliği ve sıfatları ile ilgili konular başta olmak üzere pek çok konuyu 175 esmâ-i hüsnâya dayanarak izah ettiği görülmektedir. (...) O, esmâ-i hüsnâ bölümünde yer vermediği bazı isimlere ise müstakil başlıklar altında değinmektedir. Örneğin el-Mütekkelim ismi kelâm sıfatını bağlamında ve halku’l-Kur’ân ile icâz’ul-Kur’ân gibi konularla ilişkili bir şekilde ele almaktadır. Bu isimler de listeye dahil edildiğinde sayı 178’e ulaşmaktadır. Bu durumda eserin yarısını esmâ-i hüsnâ konusu teşkil etmektedir. -/- Saffâr, esmâ-i hüsnâ bölümünde alfabetik bir sıra içerisinde ele aldığı ilâhî isimleri öncelikle lugavî (semantik) yönden izah etmektedir. Sonrasında ise değerlendirdiği ilahî ismi, bir kelâm konusu ile bağlantı kurarak kelâmî perspektifle açıklamaktadır Esmâ-i hüsnâ temelinde ele alınan konuların hilâfet meselesi hariç diğer kelâm bahislerini kapsadığı görülmektedir. Saffâr öncesi Hanefî-Mâtürîdî kelâm literatürü içinde esmâ-i hüsnânın bu kadar kapsamlı ele alındığı başka bir eser bilinmemektedir. -/- Bu kitap; üç ana bölümden oluşmaktadır. “Metodolojik Çerçeve” başlıklı giriş bölümünde çalışmanın konusu, önemi, amacı, yöntemi ve kaynakları hakkında bilgi verilmiştir. Birinci bölümde Saffâr’ın yaşadığı sosyokültürel çevre olan Mâverâünnehir bölgesi ile Buhara ve Merv şehirlerinin siyasî, sosyal ve dinî durumu ortaya konulmaya çalışılmıştır. İkinci bölümde esmâ-i hüsna konusunun anlaşılmasına temel oluşturan isim, tesmiye, müsemmâ, sıfat ve vasf gibi kavramlar ile esmâ-i hüsnânın sayısı ve ihsâsı gibi kelâmî tartışmalara değinilmiştir. Sonrasında Saffâr öncesi dönemde kaleme alınan esmâ-i hüsnâ litaratürü hakkında bilgi verilmiştir. Bölüm sonuna Saffâr’ın rivayet ettiği 178 ilahî isme dair ayrıntılı bir tablo eklenmiştir. Üçüncü bölümde öncelikle, Saffâr’ın esmâ-i hüsnâyı izah ederken dikkate aldığı kelâmî ilkeler tespit edilmeye çalışılmıştır. Sonrasında ise Saffâr’ın Telḫîṣü’l-edille’de ilâhî isimleri açıklarken ortaya koyduğu kelâmî görüş ve değerlendirmeler belirlenerek sistematik bir şekilde kategorize edilmiştir. Bu kapsamda ele alınan her konunun sonuna ilgili ilâhî isimleri ve bağlantılı olduğu tartışmaları içeren tablolar eklenmiştir. Sonuç bölümünde ise Saffâr’ın esmâ-i hüsnâ anlayışına dayanan kelâm yöntemine dair ulaştığımız sonuçlara yer verilmiştir. Bu kitapta onun, esmâ-i hüsnânın %75’inde kelâmî yorumlarda bulunduğu ve bilgi-varlık bahsinden âhiret hayatına kadar bütün kelâm konularını esmâ-i hüsnâ ile bağlantılı yorumladığı tespit edilmiştir. Ulaşılan bu sonuçlar, Saffâr’ın kelâm anlayışının ilâhî isimlerin yorumuna dayandığını ortaya koymaktadır. [his book discusses the theological views of Abū Isḥāq al-Ṣaffār d. 534/1139), within the framework of his comments on the meanings of Allah’s names, provided in his work titled Talkhīṣ al-adilla. Abū Isḥāq al-Ṣaffār is one of the Ḥanafite-Māturīdite scholars in the 6th/12th century. In his work titled Talkhīṣ al-adilla li-qawāʿid al-tawḥīd on kalām, he spared extensive space for al-asmāʾ al-husnā. Approximately one third of this work, published in two volumes, is devoted to al-asmāʾ al-husnā. An examination of the related section reveals that al-Ṣaffār explains many issues, particularly those related to the existence, unity and attributes of Allah, based on 175 al-asmāʾ al-husnā. He mentions some of the names that he does not include in the al-asmāʾ al-husnā section under separate headings. For example, the name al-Mutakallim is addressed within the context of the attribute of kalām and in relation to subjects, such as the khalq al-Qurʾān and i‘jaz al-Qurʾān. Upon the addition of these names to the list, the number names reaches 178. This means that half of the work deals with the subject of al-asmāʾ al-husnā. -/- al-Ṣaffār lists the divine names in alphabetical order and explains them semantically in the chapter of al-asmāʾ al-husnā. Then he goes on to clarify each divine name through a theological lens with a specific reference to the subject of kalām. In the pre-Saffar Ḥanafite-Māturīdite theological literature, there is no other work that addresses al-asmāʾ al-husnā in such an extensive way. -/- This book consists of three main sections. The first section titled “Methodological Framework”, elaborates on the focus, significance, purpose and method of the study, along with the sources used. The first part describes the political, social and religious status of Transoxiana (Mā-warāʾ al-Nahr) region and the cities of Bukhara and Marw, the sociocultural environment in which Saffar lived. The second chapter addresses various concepts, which promote the understanding of al-asmāʾ al-husnā, such as name, tasmiya, musammā, attribute and qualification in addition to the theological debates such as the number and iḥṣāʾ of al-asmāʾ al-husnā. Then, it provides information about the al-asmāʾ al-husnā literature produced in the pre- Ṣaffār period. The end of each chapter comes with a detailed table with the 178 divine names mentioned by al-Ṣaffār. In the third chapter, the author initially discusses the theological principles that al-Ṣaffār considered while explaining the essence of al-asmāʾ al-husnā. This section also determines and systematically categorizes the theological views and evaluations put forward by al-Ṣaffār while explaining the divine names in Talkhīṣ al-adilla. The tables with the divine names and the related discussions can be seen at the end of the discussion for each subject. The last section presents the conclusions reached, regarding the kalām method based on al-Ṣaffār’s understanding of the essence of al-asmāʾ al-husnā. The present study revealed that he made theological interpretations in 75% of the al-asmāʾ al-husnā and interpreted all theological issues ranging from the subjects of knowledge and existence to the Afterlife in connection with the al-asmāʾ al-husnā. These results indicate that al-Ṣaffār's understanding of kalām is based on the interpretation of the divine names.]. (shrink)

Darcy's law is a phenomenological relationship for fluid flow rate that finds one of its principle applications in hydrology. Theoretical hydrologists rely upon a multiplicity of conceptual models to carry out approximate derivations of Darcy's law. These derivations provide structural explanations of the law; they require the application of fundamental principles, such as conservation of momentum, to idealized models of the porous media within which the flow occurs. In practice, recognition of the idealized conditions incorporated into models facilitates the (...) empirical clarification of the domain within which the law remains accurate. Structural explanations also contribute to the physical interpretation of phenomenological parameters. (shrink)

The aim of this study is to justify the belief that there are biological normative mechanisms that fulfill non-trivial causal roles in the explanations (as formulated by researchers) of actions and behaviors present in specific systems. One example of such mechanisms is the predictive mechanisms described and explained by predictive processing (hereinafter PP), which (1) guide actions and (2) shape causal transitions between states that have specific content and fulfillment conditions (e.g. mental states). Therefore, I am guided by a specific (...) theoretical goal associated with the need to indicate those conditions that should be met by the non-trivial theory of normative mechanisms and the specific models proposed by PP supporters. In this work, I use classical philosophical methods, such as conceptual analysis and critical reflection. I also analyze selected studies in the field of cognitive science, cognitive psychology, neurology, information theory and biology in terms of the methodology, argumentation and language used, in accordance with their theoretical importance for the issues discussed in this study. In this sense, the research presented here is interdisciplinary. My research framework is informed by the mechanistic model of explanation, which defines the necessary and sufficient conditions for explaining a given phenomenon. The research methods I chose are therefore related to the problems that I intend to solve. In the introductory chapter, “The concept of predictive processing”, I discuss the nature of PP as well as its main assumptions and theses. I also highlight the key concepts and distinctions for this research framework. Many authors argue that PP is a contemporary version of Kantianism and is exposed to objections similar to those made against the approach of Immanuel Kant. I discuss this thesis and show that it is only in a very general sense that the PP framework is neo-Kantian. Here we are not dealing with transcendental deduction nor with the application of transcendental arguments. I argue that PP is based on reverse engineering and abduction inferences. In the second part of this chapter, I respond to the objection formulated by Dan Zahavi, who directly accuses this research framework of anti-realistic consequences. I demonstrate that the position of internalism, present in the so-called conservative PP, does not imply anti-realism, and that, due to the explanatory role played in it by structural representations directed at real patterns, it is justified to claim that PP is realistic. In this way, I show that PP is a non-trivial research framework, having its subject, specific methods and its own epistemic status. Finally, I discuss positions classified as the socalled radical PP. In the chapter “Predictive processing as a Bayesian explanatory model” I justify the thesis according to which PP offers Bayesian modeling. Many researchers claim that the brain is an implemented statistical probabilistic network that is an approximation of the Bayesian 7 rule. In practice, this means that all cognitive processes are to apply Bayes' rule and can be described in terms of probability distributions. Such a solution arouses objections among many researchers and is the subject of wide criticism. The purpose of this chapter is to justify the thesis that Bayesian PP is a non-trivial research framework. For this purpose, I argue that it explains certain phenomena not only at the computational level described by David Marr, but also at the level of algorithms and implementation. Later in this chapter I demonstrate that PP is normative modeling. Proponents of the use of Bayesian models in psychology or decision theory argue that they are normative because they allow the formulation of formal rules of action that show what needs to be done to make a given action optimal. Critics of this approach emphasize that such thinking about the normativity of Bayesian modeling is unjustified and that science should shift from prescriptive to descriptive positions. In a polemic with Shira Elqayam and Jonathan Evans (2011), I show that the division they propose into prescriptivism and Bayesian descriptivism is apparent, because, as I argue, there are two forms of prescriptivism, i.e. the weak and the strong. I argue that the weak version is epistemic and can lead to anti-realism, while the strong version is ontic and allows one to justify realism in relation to Bayesian models. I argue that a weak version of prescriptivism is valid for PP. It allows us to adopt anti-realism in relation to PP. In practice, this means that you can explain phenomena using Bayes' rule. This does not, however, imply that they are Bayesian in nature. However, the full justification of realism in relation to the Bayesian PP presupposes the adoption of strong prescriptivism. This position assumes that phenomena are explained by Bayesian rule because they are Bayesian as such. If they are Bayesian in nature, then they should be explained using Bayesian modeling. This thesis will be substantiated in the chapters “Normative functions and mechanisms in the context of predictive processing” and “Normative mechanisms and actions in predictive processing”. In the chapter “The Free Energy Principle in predictive processing”, I discuss the Free Energy Principle (hereinafter FEP) formulated by Karl Friston and some of its implications. According to this principle, all biological systems (defined in terms of Markov blankets) minimize the free energy of their internal states in order to maintain homeostasis. Some researchers believe that PP is a special case of applying this principle to cognition, and that predictive mechanisms are homeostatic mechanisms that minimize free energy. The discussion of FEP is important due to the fact that some authors consider it to be important for explanatory purposes and normative. If this is the case, then FEP turns out to be crucial in explaining normative predictive mechanisms and, in general, any normative biological mechanisms. To define the explanatory possibilities of this principle, I refer to the discussion of its supporters on the issue they define as the problem of continuity and discontinuity between life and mind. A critical analysis of this discussion and the additional arguments I have formulated have allowed me to revise the explanatory ambitions of FEP. I also reject the belief that this principle is necessary to explain the nature of predictive mechanisms. I argue that the principle formulated and defended by Friston is an important research heuristic for PP analysis. 8 In the chapter “Normative functions and mechanisms in predictive processing”, I start my analyzes by formulating an answer to the question about the normative nature of homeostatic mechanisms. I demonstrate that predictive mechanisms are not homeostatic. I defend the view that a full explanation of normative mechanisms presupposes an explanation of normative functions. I discuss the most important proposals for understanding the normativity of a function, both from a systemic and teleosemantic perspective. I conclude that the non-trivial concept of a function must meet two requirements which I define as explanatory and normative. I show that none of the theories I have invoked satisfactorily meets both of these requirements. Instead, I propose a model of normativity based on Bickhard's account, but supplemented by a mechanistic perspective. I argue that a function is normative when: (1) it allows one to explain the dysfunction of a given mechanism; (2) it contributes to the maintenance of the organism's stability by shaping and limiting possible relations, processes and behaviors of a given system; and when (3) (according to the representational and predictive functions) it enables explaining the attribution of logical values of certain representations / predictions. In such an approach, a mechanism is normative when it performs certain normative functions and when it is constitutive for a specific action or behavior, despite the fact that for some reason it cannot realize it either currently or in the long-term. Such an understanding of the normativity of mechanisms presupposes the acceptance of the epistemic hypothesis. I argue that this hypothesis is not cognitively satisfactory, and therefore the ontic hypothesis should be justified, which is directly related to adopting the position of ontic prescriptivism. For this reason, referring to the mechanistic theory of scientific explanations, I formulate an ontical interpretation of the concept of a normative mechanism. According to this approach, a mechanism or a function is normative when they perform such and such causal roles in explaining certain actions and behaviors. With regard to the normative properties of predictive mechanisms and functions, this means that they are the causes of specific actions an organism carries out in the environment. In this way, I justify the necessity of accepting the ontic hypothesis and rejecting the epistemic hypothesis. The fifth chapter, “Normative mechanisms and actions in predictive processing”, is devoted to the dark room problem and the related exploration-exploitation trade-off. A dark room is the state that an agent could be in if it minimized the sum of all potential prediction errors. I demonstrate that, in accordance with the basic assumption of PP about the need for continuous and long-term minimization of prediction errors, such a state should be desirable for the agent. Is it really so? Many authors believe it is not. I argue that the test of the value of PP is the possibility of a non-trivial solution of this problem, which can be reduced to the choice between active and uncertainty-increasing exploration and safe and easily predictable exploitation. I show that the solution proposed by PP supporters present in the literature does not enable a fully satisfactory explanation of this dilemma. Then I defend the position according to which the full explanation of the normative mechanisms, and, subsequently, the solution to the dilemma of exploration and exploitation, involves reference to the existence of constraints present in the environment. The constraints 9 include elements of the environment that make a given mechanism not only causal but also normative. They are therefore key to explaining the predictive mechanisms. They do not only play the role of the context in which the mechanism is implemented, but, above all, are its constitutive component. I argue that the full explanation of the role of constraints in normative predictive mechanisms presupposes the integration of individual models of specific cognitive phenomena, because only the mechanistic integration of PP with other models allows for a non-trivial explanation of the nature of normative predictive mechanisms that would have a strong explanatory value. The explanatory monism present in many approaches to PP makes it impossible to solve the problem of the dark room. Later in this chapter, I argue that the Bayesian PP is normative not because it enables the formulation of such and such rules of action, but because the predictive mechanisms themselves are normative. They are normative because they condition the choice of such and such actions by agents. In this way, I justify the hypothesis that normative mechanisms make it possible to explain the phenomenon of agent motivation, which is crucial for solving the dark room problem. In the last part of the chapter, I formulate the hypothesis of distributed normativity, which assumes that the normative nature of certain mechanisms, functions or objects is determined by the relations into which these mechanisms, functions or objects enter. This means that what is normative (in the primary sense) is the relational structure that constitutes the normativity of specific items included in it. I suggest that this hypothesis opens up many areas of research and makes it possible to rethink many problems. In the “Conclusion”, I summarize the results of my research and indicate further research perspectives. (shrink)

In General Relativity, reference frames must be distinguished from coordinates. The former represent physical systems interacting with the gravitational system, aside from possible approximations, while the latter are mathematical artefacts. We propose a novel three-fold distinction between Idealised Reference Frames, Dynamical Reference Frames and Real Reference Frames. This paper not only clarifies the physical significance of reference frames, but also sheds light on the similarities between idealised reference frames and coordinates. It also analyses the salience of reference frames to define (...) local gauge-invariant observables and to propose a physical interpretation to diffeomorphism gauge symmetry. (shrink)

The comprehension of anaphoric relations may be guided not only by discourse, but also syntactic information. In the literature on online processing, however, the focus has been on audible pronouns and descriptions whose reference is resolved mainly on the former. This paper examines one relation that both lacks overt exponence, and relies almost exclusively on syntax for its resolution: adjunct control, or the dependency between the null subject of a non-finite adjunct and its antecedent in sentences such as Mickey talked (...) to Minnie before ___ eating. Using visual world eyetracking, we compare the time course of interpreting this null subject and overt pronouns (Mickey talked to Minnie before he ate). We show that when control structures are highly frequent, listeners are just as quick to resolve reference in either case. When control structures are less frequent, reference resolution based on structural information still occurs upon hearing the non-finite verb, but more slowly, especially when unaided by structural and referential predictions. This may be due to increased difficulty in recognizing that a referential dependency is necessary. These results indicate that in at least some contexts, referential expressions whose resolution depends on very different sources of information can be resolved approximately equally rapidly, and that the speed of interpretation is largely independent of whether or not the dependency is cued by an overt referring expression. (shrink)

1. IntroductionIn this superb book, Williams sets a very ambitious goal for himself: to sketch biconditionals that define representational conditions in non-representational terms (p. xvii). Representation is not a spooky, primitive capacity of the mind; it is built from more basic ingredients. At the centre is his radical interpretation theory of belief and desire, inspired by the work of David Lewis. To a first approximation: Basic radical interpretation theory. The correct assignment of beliefs and desires to an agent (...) is the most rationalizing assignment given her perceptual evidence and dispositions to act. (pp. 16, 97ff)Williams does not give a master argument for this account of belief and desire over rival accounts in which constitutive rationality plays no role. Rather, his main goal is the laudatory one of theory-building. In this respect, his book hearkens back to the decade or so from the early 80s to the early 90s that was the heyday for developing grand theories of representation. In particular, his main aim is to develop the details of the basic radical interpretation theory – something Lewis never fully did. The result is a unique, multi-stage theory of representation that departs importantly from Lewis in many places. (shrink)

The analysis of logical predication has long philosophical tradition in which one of the central subjects of study is the analysis of the logical form of the proposition. We contemporaneously can say that the way more well-finished of logic predication is propositional function. Historically, the propositional function arises as a logical analysis of the proposition scheme resulting from the convergence of mathematics and logic between the XIX and XX centuries. Two of the main responsible for this convergence were Gottlob Frege (...) (1848 - 1925) and Bertrand Russell (1872-1970). Influenced by Frege's ideas and direct heir of Russell, having been a disciple of this in Cambridge, Ludwig Wittgenstein (1889 - 1951) has become, in view of the originality of his thought, one of the most discussed and commented thinkers of the twentieth century, especially with the publication of his work entitled "Tractatus Logico-Philosophicus" (1921). It's in this work that Wittgenstein more considers himself debtor from Frege and Russell, having left explicit mention to them. Then the question that guides the development of this thesis is: what is the meaning of the propositional function of Frege and Russell in the Wittgenstein's Tractatus (1921)? Our goal is, in this sense, to investigate the meaning of the concept of propositional function in the Tractatus (1921). Our starting point is to understand the meaning of the propositional function in Frege and Russell to understand its meaning in the Tractatus (1921). We will focus our analysis on what Wittgenstein calls "propositional variable" (Satzvariable), term that best approximates, in our view, of the propositional function of Frege and Russell. In this sense, our interpretative question was formulated as: what is the meaning of the concept of propositional variable in the Tractatus (1921)? We defend the thesis that the role of the propositional function in Frege and Russell corresponds to the role of the propositional variable in Wittgenstein. (shrink)

A model is proposed for interpreting the course of Western Science’s conception of mathematics from the time of the ancient Greeks to the present day. According to this model, philosophy of science, in general, has traced a horseshoe-shaped curve through time. The ‘horseshoe’ emerges with Pythagoras and other Greek scientists and has curved ‘back’—but not quite back—towards modern trends in philosophy of science, as for example espoused by Bas van Fraassen. Two features of a horseshoe are pertinent to this metaphor: (...) (1) The horseshoe’s semicircular shape models the emergence of science from monism towards dualism, and its modern return towards unity. (2) The logical ‘horseshoe’ operator (“if…then”) makes possible the logical rule ‘modus ponens’--so central to Western science’s deductive approach (which is reaching its limits). Descartes fits approximately at the turning point of the curve. ‘Where might the curve go next?’ is posed to the reader. (shrink)

After an introduction into the history of book illustrations from the second half of the 18th century to the late 19th century follows a sketch of the evolution of illustrations for Johann Wolfgang Goethe’s novel “The Sorrows of Young Werther” from 1775 to 1870. The featured illustrations can be divided into groups of approximately 10 central motives. The resting points of the narrative were chosen as highlights of many illustrations: They depict the sentimental and idyllic scenes. The interpretation of (...) the illustrations is focused on the possibilities to gain new, esp. social psychological ways of understanding the novel. (shrink)

This book has three principle aims: to show that neither vision nor mental imagery involves the creation or inspection of picture-like mental representations; to defend the claim that our visual processes are, in significant part, cognitively impenetrable; and to develop a theory of “visual indexes”. In what follows, I assess Pylyshyn’s success in realising each of these aims in turn. I focus primarily on his arguments against “picture theories” of vision and mental imagery, to which approximately half the book is (...) devoted. I argue that Pylyshyn adopts an unnecessarily restricted interpretation of what it would be for mental representations to be picture-like, and that this leads him prematurely to reject the possibility of explaining the introspective evidence concerning the nature of mental imagery. (shrink)