We investigate the theory IΔ 0 + Ω 1 and strengthen [Bu86. Theorem 8.6] to the following: if NP ≠ co-NP. then Σ-completeness for witness comparison formulas is not provable in bounded arithmetic. i.e. $I\delta_0 + \Omega_1 + \nvdash \forall b \forall c (\exists a(\operatorname{Prf}(a.c) \wedge \forall = \leq a \neg \operatorname{Prf} (z.b))\\ \rightarrow \operatorname{Prov} (\ulcorner \exists a(\operatorname{Prf}(a. \bar{c}) \wedge \forall z \leq a \neg \operatorname{Prf}(z.\bar{b})) \urcorner)).$ Next we study a "small reflection principle" in bounded arithmetic. We prove that (...) for all sentences φ $I\Delta_0 + \Omega_1 \vdash \forall x \operatorname{Prov}(\ulcorner \forall y \leq \bar{x} (\operatorname{Prf} (y. \overline{\ulcorner \varphi \urcorner}) \rightarrow \varphi)\urcorner).$ The proof hinges on the use of definable cuts and partial satisfaction predicates akin to those introduced by Pudlak in [Pu86]. Finally, we give some applications of the small reflection principle, showing that the principle can sometimes be invoked in order to circumvent the use of provable Σ-completeness for witness comparison formulas. (shrink)

We introduce and consider the inner-model reflection principle, which asserts that whenever a statement \varphi(a) in the first-order language of set theory is true in the set-theoretic universe V, then it is also true in a proper inner model W \subset A. A stronger principle, the ground-model reflection principle, asserts that any such \varphi(a) true in V is also true in some non-trivial ground model of the universe with respect to set forcing. These principles each express a (...) form of width reflection in contrast to the usual height reflection of the Lévy–Montague reflection theorem. They are each equiconsistent with ZFC and indeed \Pi_2-conservative over ZFC, being forceable by class forcing while preserving any desired rank-initial segment of the universe. Furthermore, the inner-model reflection principle is a consequence of the existence of sufficient large cardinals, and lightface formulations of the reflection principles follow from the maximality principle MP and from the inner-model hypothesis IMH. We also consider some questions concerning the expressibility of the principles. (shrink)

The probabilities a Bayesian agent assigns to a set of events typically change with time, for instance when the agent updates them in the light of new data. In this paper we address the question of how an agent's probabilities at different times are constrained by Dutch-book coherence. We review and attempt to clarify the argument that, although an agent is not forced by coherence to use the usual Bayesian conditioning rule to update his probabilities, coherence does require the agent's (...) probabilities to satisfy van Fraassen's [1984] reflection principle (which entails a related constraint pointed out by Goldstein [1983]). We then exhibit the specialized assumption needed to recover Bayesian conditioning from an analogous reflection-style consideration. Bringing the argument to the context of quantum measurement theory, we show that "quantum decoherence" can be understood in purely personalist terms---quantum decoherence (as supposed in a von Neumann chain) is not a physical process at all, but an application of the reflection principle. From this point of view, the decoherence theory of Zeh, Zurek, and others as a story of quantum measurement has the plot turned exactly backward. (shrink)

This article shows that there is a liar-like paradox that arises for rational credence that relies only on very weak logical and credal principles. The paradox depends on a weak rational reflection principle, logical principles governing conjunction, and principles governing the relationship between rational credence and proof. To respond to this paradox, we must either reject even very weak rational reflection principles or reject some highly plausible logical or credal principle.

One recent topic of debate in Bayesian epistemology has been the question of whether imprecise credences can be rational. I argue that one account of imprecise credences, the orthodox treatment as defended by James M. Joyce, is untenable. Despite Joyce’s claims to the contrary, a puzzle introduced by Roger White shows that the orthodox account, when paired with Bas C. van Fraassen’s Reflection Principle, can lead to inconsistent beliefs. Proponents of imprecise credences, then, must either provide a compelling reason (...) to reject Reflection or admit that the rational credences in White’s case are precise. (shrink)

In this article, a possible generalization of the Löb’s theorem is considered. Main result is: let κ be an inaccessible cardinal, then ¬Con( ZFC +∃κ) .

Reflection Theory holds that our sensations reflect physical properties, whereas Empiricism believes that sense (data), presentations, and phenomena are the ultimate existence. Lenin adhered to Reflection Theory and criticized Helmholtz’s sensory symbolism for affirming the similarity between a sensation and a physical property. By using information and color vision theories, analyzing the ostensive definition with inverted qualia, and extending the relativity principle, this paper affirms the external world’s existence independent of personal sensations. Still, it denies the similarity between (...) a sense and a physical property. Then, it improves symbolism to analog symbolism and Reflection Theory to Information Reflection Theory. (shrink)

How far, if at all, do our intrapersonal and our interpersonal epistemic obligations run in parallel? This paper treats the question as addressing the stability of doxastic commitment in the two dimensions. In the background lies an analogy between doxastic and practical commitment. We’ll pursue the question of doxastic stability by coining a doxastic analogue of Gregory Kavka’s much-discussed toxin case. In this new case, you foresee that you will rationally abandon a doxastic commitment by undergoing a shift in the (...) context in which you doxastically deliberate. The case reveals an important stability condition on doxastic commitment that plays no role in cases modeled on Ulysses and the Sirens, the scenario that has shaped previous attempts to draw an analogy between doxastic and practical commitment. The stability condition thereby revealed is not diachronic -- it does not involve a shift in belief -- but we can construct specifically diachronic cases that reveal an important intrapersonal epistemic obligation. This obligation arises when you expect the shift in belief by ‘projecting’ yourself into a future doxastic context -- thus vindicating a restricted, but only this restricted, application of Bas van Fraassen’s Reflection Principle. Despite some important differences, we can use these diachronic cases as a model for interpersonal cases that reveal an important role for doxastic context in the epistemology of disagreement. But the roles played by projection and context in disagreement ensure that there is no general obligation to be responsive to the opinion of an epistemic peer who disagrees with you. (shrink)

Karen Stohr’s book On Manners argues persuasively that rules of etiquette, though conventional, play an essential moral role, because they “serve as vehicles through which we express important moral values like respect and consideration for the needs, ideas, and opinions of others”. Stohr frequently invokes Kantian concepts and principles in order to make her point. In Part 2 of this essay, I shall argue that the significance of etiquette is better understood using a virtue ethics framework, like that of (...) Confucianism, rather than the language of Kantianism. Within the Chinese tradition, Daoists have frequently been critics of Confucian ritualism. Consequently, in Part 3, I shall consider some possible Daoist critiques of Stohr’s work. (shrink)

This paper explores an initially attractive principle connecting beliefs in general with beliefs about what beliefs are rational. The principle turns out to be violated by intuitively rational beliefs in some situations. The paper lays out some options for reacting to this fact.

This paper investigates Jesus’ Principles of Breaking Barriers: A Reflection on John 4:3-42 as a pivot and principle for breaking barriers from biblical perspective. Worthy of note is the fact that there existed socio-ethnic barrier between the Jews and Samaria; gender barrier imposed by Jesus’ androcentric culture and a moral barrier imposed by the Samaritan woman’s assumed behaviour. This paper using hermeneutical theory of biblical interpretation and historical insight into this Johannine text brings to the fore that, the (...) Jewish-Samaritan barrier had ethnic, religious and political undertones which made the Samaritans and Jews to see themselves as ‘enemies’; the interaction with the Samaritan woman broke barriers and set a new agenda for relationship with ‘inferior’ gender and morally low in the human society. Herein exists principles of breaking barriers set by Jesus which are worthy of emulation in the twenty-first century which is plagued by socio-ethnic, religious, gender and moral barriers. (shrink)

We show in this paper that the answer to the question in the title is in the negative. In modern optics, Snell’s law of reflection is derived using Leibniz’s calculus method that identifies the least time path, chosen by rays of light in going from a given point A, to another given point B, undergoing reflection at a point P on their way. We demonstrate, taking two examples of reflection: (1) at a plane reflector and (2) at (...) elliptical reflector, that Snell’s law of reflection is not a consequence of least time path principle and, that Leibniz’s method of derivation of Snell’s law of reflection is invalid. In (1), we prove that, if a light ray is reflected at point P on a line, along the least time path APB, then at every point Pi on that line, rays from A are reflected to point B, satisfying Snell’s law. However, paths, APB and APiB do not have equal travel times. In (2), we prove that, if a light ray is reflected along the least time path APB, from focus A to focus B incident at point P on an ellipse, satisfies Snell’s law, then points Pi, not lying on the ellipse, also reflect light rays from A to B, satisfying Snell’s law. However, the paths APB and APiB do not have equal travel times. Thus, both examples prove that least time path is not a criterion for reflection and, that Snell’s law of reflection is not a consequence of least time path principle. (shrink)

We discuss the cable guy paradox, both as an object of interest in its own right and as something which can be used to illuminate certain issues in the theories of rational choice and belief. We argue that a crucial principle—The Avoid Certain Frustration (ACF) principle—which is used in stating the paradox is false, thus resolving the paradox. We also explain how the paradox gives us new insight into issues related to the Reflection principle. Our general thesis is that (...) principles that base your current opinions on your current opinions about your future opinions need not make reference to the particular times in the future at which you believe you will have those opinions, but they do need to make reference to the particular degrees of belief you believe you will have in the future. (shrink)

A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some (...) forms of richness argument, the status of reflection principles as axioms is left open for the Zermelian. (shrink)

This paper examines John Rawls' renowned theory of justice, which outlines two principles of justice and their respective significance. It explores how Rawls' notion of equality aligns with the philosophical concept of equity, emphasizing that his call for citizen equality inherently incorporates fairness. Additionally, the paper discusses the application of Rawls' "Difference Principle" to India's reservation policy. Rawls' principles, which aim to support the worst-off in society, are reflected in India's system of reservations for marginalized groups, including backward (...) classes and differently-abled individuals, to promote equitable opportunities. However, the paper cautions that excessive reservations could limit opportunities for more privileged groups. Ultimately, it is argued that Rawls' concept of social justice has contributed to the promotion of social justice in India. (shrink)

The Queen's College, Oxford, UK In his article `Facts and Principles', G.A. Cohen attempts to refute constructivist approaches to justification by showing that, contrary to what their proponents claim, fundamental normative principles are fact- in sensitive. We argue that Cohen's `fact-insensitivity thesis' does not provide a successful refutation of constructivism because it pertains to an area of meta-ethics which differs from the one tackled by constructivists. While Cohen's thesis concerns the logical structure of normative principles, constructivists ask (...) how normative principles should be justified . In particular, their claim that justified fundamental normative principles are fact-sensitive follows from a commitment to agnosticism about the existence of objective moral facts. We therefore conclude that, in order to refute constructivism, Cohen would have to address questions of justification, and take a stand on those long-standing meta-ethical debates about the ontological status of moral notions (for example, realism versus anti-realism) with respect to which he himself wants to remain agnostic. Key Words: John Rawls • normative justification • realism versus anti-realism • methodological versus substantive principles. (shrink)

In this paper, I consider the so-called Access Problem for Duncan Pritchard’s Epistemological Disjunctivism (2012). After reconstructing Pritchard’s own response to the Access Problem, I argue that in order to assess whether Pritchard’s response is a satisfying one, we first need an account of the notion of ‘Reflective Access’ that underpins Pritchard’s Epistemological Disjunctivism. I provide three interpretations of the notion of Reflective Access: a metaphysical interpretation, a folk interpretation, and an epistemic interpretation. I argue that none of these three (...) interpretations comes without problems. I conclude that, until we have a clear and unproblematic account of Reflective Access, the Access Problem remains a challenge for Pritchard’s Epistemological Disjunctivism. (shrink)

This essay gives an account of epistemic deference for agents with imprecise credences. I look at the two main imprecise deference principles in the literature, known as Identity Reflection and Pointwise Reflection (Moss, 2021). I show that Pointwise Reflection is strictly weaker than Identity Reflection, and argue that, if you are certain you will update by conditionalisation, you should defer to your future self according to Identity Reflection. Then I give a more general justification (...) for Pointwise and Identity Reflection from the assumption that you defer to someone whenever you consider their doxastic state to be better than yours, in the sense of leading to better decision-making. (shrink)

The Principle of Sufficient Reason (PSR) holds that, for everything that exists or occurs or holds true, there is a reason why that is the case. I consider three possible ways of relating physics to the PSR: past states as reasons for present states, reasons why the laws of physics take the form that they do, and reasons why there is anything at all. In each case I suggest that the PSR is not the best way of thinking about how (...) and why physics works. -/- Invited reflection for The Principle of Sufficient Reason (Oxford Philosophical Concepts), Eds. F. Amijee and M. Della Rocca (forthcoming 2024). (shrink)

Most public and non-profit organisations that fund health research provide the majority of their funding in the form of grants. The calls for grant applications are often untargeted, such that a wide variety of applications may compete for the same funding. The grant review process therefore plays a critical role in determining how limited research resources are allocated. Despite this, little attention has been paid to whether grant review criteria align with widely endorsed ethical criteria for allocating health research resources. (...) Here, we analyse the criteria and processes that ten of the largest public and non-profit research funders use to choose between competing grant applications. Our data suggest that research funders rarely instruct reviewers to consider disease burden or to prioritise research for sicker or more disadvantaged populations, and typically only include scientists in the review processes. This is liable to undermine efforts to link research funding to health needs. (shrink)

My aim in this paper is to provide an account of practical judgement, for Kant, that situates it within his theory of judgement as a whole—particularly, with regards to the distinction between the determining and reflecting use of judgement. I argue that practical judgement is a kind of determining judgement, but also one in which reflecting judgement plays a significant role. More specifically, I claim that practical judgement arises from the cooperation of the reflecting power of judgement with the faculty (...) of reason—the former assisting the latter in the application of its principle. I conclude by considering a possible role for feeling in practical judgement. (shrink)

The method of reflective equilibrium focuses on the relationship between principles and judgments. Principles are relatively general rules for comprehending the area of enquiry. Judgments are our intuitions or commitments, ‘at all levels of generality’ (Rawls 1975: 8), regarding the subject matter. The basic idea of reflective equilibrium is to bring principles and judgments into accord. This can be achieved by revising the principles and/or the judgments. -/- I first look at normative political judgments (Section 2) (...) before considering the role of principles, arguments, devices of representation and background theory in wide reflective equilibrium (Section 3). I then consider two of the main challenges to the method (Section 4), and show how to use it to deliberate about substantive political principles (Section 5). I conclude with an extended example of the method in action (Section 6). (shrink)

How can we figure out what’s right or wrong, if moral truths are neither self-evident nor something we can perceive? Very roughly, the method of reflective equilibrium (RE) says that we should begin moral inquiry from what we already confidently think, seeking to find a a match between our initial convictions and general principles that are well-supported by background theories, mutually adjusting both until we reach a coherent outlook in which our beliefs are in harmony (the equilibrium part) and (...) we know why and how they support each other (the reflective part). It has been central to the self-understanding of normative ethics and other branches of philosophy in the last half a century. In this chapter, we examine the history of the idea of RE and introduce a schema for generating 256 variants. We explain why RE is subject to serious objections insofar as it purports to yield epistemic justification in virtue of achieving coherence. However, we also develop a new argument to the effect that RE is the best feasible method for us to achieve moral understanding and the ability to justify our judgments to others. It may thus be crucial for responsible moral inquiry, even if coherence among considered judgments and principles is neither sufficient nor necessary for justified moral belief. (shrink)

Combining inquiry and metacognition helps strengthen mathematical learning. This study examines how metacognitive mathematical inquiry can be modeled using reflective tasking approach. Quasi-experimental design was employed in two comparable groups of Grade 9 students of Ibarra National High School, Maasin City, Philippines during the academic year 2021-2022. Lesson guides on reflective task assessments anchored on metacognitive and inquiry-based learning theories, inquiry rubric scales and modified state metacognitive inventory served as data collection instruments. Results of t-test analysis revealed significant difference in (...) performance between groups implying high efficacy of the methodology in stimulating students’ metacognitive inquiry skill. Correlation values projected significant relationship between reflective learning performances with metacognition. Quantitative evidences, thus, lead to conclusion that reflective tasking methodology exemplifies potential in metacognitive mathematical inquiry as it optimizes their thinking processes, task involvement, and regulation through self-reflection principles worthy of practice throughout lifelong learning. (shrink)

It is now common to distinguish Metaphysical from Epistemological Disjunctivism. It is equally common to suggest that it is at least not obvious that the latter requires a commitment to the former: at the very least, a suitable bridge principle will need to be identified which takes one from the latter to the former. This paper identifies a plausible-looking bridge principle that takes one from the version of Epistemological Disjunctivism defended by John McDowell and Duncan Pritchard, which I label Reflective (...) Epistemological Disjunctivism, or (RED), to Metaphysical Disjunctivism. Moreover, it identifies a modification the proponent of (RED) could, and should, make to the Internalist component of their theory, and argues that the commitment to Metaphysical Disjunctivism remains, even if such a modification is made. The upshot is that the commitment to Metaphysical Disjunctivism on the part of (RED) is shown to be particularly robust. (shrink)

Leibniz, and many following him, saw the Principle of Sufficient Reason (PSR) as pivotal to a scientific (demonstrated) metaphysics. Against this backdrop, Kant is expected to pay close attention to PSR in his reflections on the possibility of metaphysics, which is his chief concern in the Critique of Pure Reason. It is far from clear, however, what has become of PSR in the Critique. On one reading, Kant has simply turned it into the causal principle of the Second Analogy. On (...) a different reading, PSR is but the supreme principle of reason, which roughly states that, if the conditioned is given, so is the unconditioned. On my reading, PSR appears in the guises of both the causal principle and the supreme principle. This twofold specification, I argue, is key to understanding (i) Kant’s allegations that past metaphysicians failed to prove PSR, (ii) his own Critical account of the possibility of metaphysics in both of its parts (ontology and metaphysics proper), and (iii) his nuanced answer to the contentious question about the relation between physical inquiry and metaphysical reasoning about nature (both being quests for reasons). (shrink)

Kant’s distinction between the determining and reflecting power of judgment in the third Critique is not well understood in the literature. A mainstream view unifies these by making determination the telos of all acts of judgment (Longuenesse 1998). On this view, all reflection is primarily in the business of producing empirical concepts for cognition, and thus has what I call a determinative ideal. I argue that this view fails to take seriously the independence and autonomy of the ‘power of (...) judgment’ [Urteilskraft] as a higher cognitive faculty in its own right with its own a priori principle. Instead of seeing merely reflecting judgments as failed or incomplete acts of judgment, I argue that these are in fact paradigmatic of the activity of the power of judgment. More precisely, the reflecting power of judgment just is the power of judgment. Accordingly, reflecting judgment takes precedence over determining judgment; while the former operates according to a law that it gives itself, the latter requires another higher cognitive faculty to provide its principle. On my view, reflecting judgment should be understood as the capacity for purposive subsumption—most clearly seen in the activity of mere reflection. (shrink)

John Rawls recommends a reflective equilibrium method for evaluating which principles institutions should abide by. In this paper, I identify and challenge three assumptions that he makes.

Moral particularists and generalists alike have struggled over how to incorporate the role of moral salience in ethical reasoning. In this paper, I point to neglected resources in Kant to account for the role of moral salience in maxim formation: Kant's theory of reflective judgment. Kant tasks reflective judgment with picking out salient empirical particulars for formation into maxims, associating it with purposiveness, or intentional activity (action on ends). The unexpected resources in Kantian reflective judgment suggest the possibility of a (...) particularist universalism, where recalcitrant particulars directly inform, and in some cases revise, moral principles. Such an account improves on particularist accounts of moral salience and moral perception: rather than deriving moral sensitivity solely from an agent's upbringing or cultural resources, the reflective dimension is situated alongside the universalist dimension of moral principles typically identified with Kantian ethics, allowing for a critical approach both to moral universals and to the reception of moral particulars. (shrink)

Gender affirming hormone treatment is an important part of the care of trans adolescents which enables them to develop the secondary sexual characteristics congruent with their identified genders. There is an increasing amount of empirical evidence showing the benefits of gender affirming hormone treatment for psychological health and social well-being in this population. However, in several countries, access to gender affirming hormone treatment for trans adolescents has recently been severely restricted. While much of the opposition to gender affirming hormone treatment (...) for trans adolescents has in part been ideologically motivated, it also reflects a debate about whether there are harms that outweigh the benefits of the treatment. Accordingly, a systematic and comprehensive philosophical analysis of the ethics of gender affirming hormone treatment for trans adolescents is needed. Herein, I offer such an analysis that draws on the four principles of biomedical ethics by Tom Beauchamp and James Childress. Based on the considerations of beneficence, nonmaleficence, autonomy, and justice, I argue that the provision of access to gender affirming hormone treatment for consenting trans adolescents is ethically required and that the current restrictions to such treatment are ethically wrong. (shrink)

A new program of teacher training in a dialogical spirit in order to prepare them towards working in the field of philosophy with children combines cultivating creativity and self-reflective thinking had been operated as a part of cooperation between the academia and the education system in Israel. This article describes the program that is a part of their practice towards co-operation between academia and schools as a part of PDS (Professional Development Schools) partnership. The program fosters creativity and self-reflective thinking (...) in schools and teacher training, and offers dialogical methods through the philosophy of Martin Buber, Emanuel Levinas and Paulo Freire. The program encourages adopting principles proposed by Martin Buber (1947, 1957, 1959), who perceived education as a dialogue among people whose humanity is fully manifested in its reciprocity. This is an unequivocal stance, maintaining that neither skillful technique nor exciting contents can replace the experience of the spontaneous, authentic concrete presence of the educator’s personality. The dialogic dimension of the program draws its significance from the principle of responsibility, as expressed by Emanuel Levinas (2003). It is based on the idea that the human being, as a speaking subject, does not place himself/herself in the center, but turns to the other. This committed attitude of the other must be expressed in education action, in clothing the naked and feeding the hungry as expressed by Paulo Freire (1973). These principles implemented in teacher education and teacher training requires active listening, a capacity to be response-able to environment in which teachers are situated and it seeks to uncover assumptions, reflect on concepts in use and assist the new teacher to be involve on a philosophical inquiry, as well as situating self-understanding in the context of philosophy of education. (shrink)

In a recent article, Robert Lockie brings about a critical examination of three Frankfurtstyle cases designed by David Widerker and Derk Pereboom. His conclusion is that these cases do not refute either the Principle of Alternative Possibilities or some cognate leeway principle for moral responsibility. Though I take the conclusion to be true, I contend that Lockie's arguments do not succeed in showing it. I concentrate on Pereboom's Tax Evasion 2. After presenting Pereboom's example and analyzing its structure, I distinguish (...) two strategies of Lockie's to defend PAP against it, which I call "No True Alternative Decision" and "No Responsibility", respectively. According to NTAD, Pereboom's example fails because the agent has alternatives to his decision. I hold that this strategy is faulty because the alternatives that Lockie points to are arguably not robust enough to save PAP. According to NR, the example fails because the agent is not blameworthy for his decision. After defending the intuitiveness of the agent's blameworthiness, I present Lockie's arguments against this blameworthiness and suggest that they might beg the question against Frankfurt theorists. I examine Lockie's main response to this question-begging objection and hold that it does not clearly succeed in meeting it. Moreover, I hold that this response faces other important problems. Additional responses appear to be unsatisfactory as well. Hence, Lockie's defense of the agent's blamelessness lacks justification. The general conclusion is that Lockie does not succeed in defusing Pereboom's Tax Evasion 2 as a counterexample to PAP. (shrink)

John Rawls’ “reflective equilibrium” ranges amongst the most popular conceptions in contemporary ethics when it comes to the basic methodological question of how to justify and trade off different normative positions and attitudes. Even where Rawls’ specific contractualist account is not adhered to, “reflective equilibrium” is readily adopted as the guiding idea of coherentist approaches, seeking moral justification not in a purely deductive or inductive manner, but in some balancing procedure that will eventually procure a stable adjustment of relevant doctrines (...) and standpoints. However, it appears that the widespread use of this idea has led to some considerable deviations from its meaning within Rawls’ original framework and to a critical loss of conceptual cogency as an ethico-hermeneutical tool. This contribution identifies three kinds of “balancing” constellations that are frequently, but inadequately brought forth under the heading of Rawlsian “reflective equilibrium”: (a) balancing theoretical accounts against intuitive convictions; (b) balancing general principles against particular judgements; (c) balancing opposite ethical conceptions or divergent moral statements, respectively. It is argued that each of these applications departs from Rawls’ original construction of “reflective equilibrium” and also deprives the idea of its reliability in clarifying and weighing moral stances. (shrink)

Logical and Spiritual Reflections is a collection of six shorter philosophical works, including: Hume’s Problems with Induction; A Short Critique of Kant’s Unreason; In Defense of Aristotle’s Laws of Thought; More Meditations; Zen Judaism; No to Sodom. Of these works, the first set of three constitutes the Logical Reflections, and the second set constitutes the Spiritual Reflections. Hume’s Problems with Induction, which is intended to describe and refute some of the main doubts and objections David Hume raised with regard to (...) inductive reasoning. It replaces the so-called problem of induction with a principle of induction. David Hume’s notorious skepticism was based on errors of observation and reasoning, with regard to induction, causation, necessity, the self and freewill. These are here pointed out and critically analyzed in detail – and more accurate and logical theories are proposed. The present work also includes refutations of Hempel’s and Goodman’s alleged paradoxes of induction. A Short Critique of Kant’s Unreason, which is a brief critical analysis of some of the salient epistemological and ontological ideas and theses in Immanuel Kant’s famous Critique of Pure Reason. It shows that Kant was in no position to criticize reason, because he neither sufficiently understood its workings nor had the logical tools needed for the task. Kant’s transcendental reality, his analytic-synthetic dichotomy, his views on experience and concept formation, and on the forms of sensibility (space and time) and understanding (his twelve categories), are here all subjected to rigorous logical evaluation and found deeply flawed – and more coherent theories are proposed in their stead. In Defense of Aristotle’s Laws of Thought, which addresses, from a phenomenological standpoint, numerous modern and Buddhist objections and misconceptions regarding the basic principles of Aristotelian logic. Many people seem to be attacking Aristotle’s Laws of Thought nowadays, some coming from the West and some from the East. It is important to review and refute such ideas as they arise. More Meditations, which is a sequel to the author’s earlier work, Meditations. It proposes additional practical methods and theoretical insights relating to meditation and Buddhism. It also discusses certain often glossed over issues relating to Buddhism – notably, historicity, idolatry, messianism, importation to the West. Zen Judaism, which is a frank reflection on the tensions between reason and faith in today’s context of knowledge, and on the need to inject Zen-like meditation into Judaism. This work also treats some issues in ethics and theodicy. No to Sodom, which is an essay against homosexuality, using biological, psychological, spiritual, ethical and political arguments. (shrink)

Each of the standard outlooks in the philosophy of perception --phenomenalism, direct realism, indirect realism, scepticism -- has thus been viewed as Hume's own considered position in the eyes of informed commentators. I argue that Hume does not ascribe univocally to any one of the traditional stances in the philosophy of perception, nor does he leave us only a schizophrenic or 'mood' scepticism. Hume attempted to resolve the traditional philosophical problem (or perhaps more accurately, to set it aside on principled (...) grounds) by transforming the issue from one of theoretical consistency to one of pragmatic coherence. Hume's moderate scepticism and his systematic naturalism entail a reflective 'return' to the vulgar (cp. T 223), a qualified normative endorsement of the directly realist beliefs of common life. The interpretive challenge is to understand the subtle nature of that endorsement, and to explain how it arises out of genuinely Humean doctrines. The account offered here attempts both to capture Hume's own considered position and to explain the attractions and shortcomings of each of the competing interpretations. After laying out the elements of Hume's account of perceptual belief (section I), I proceed to examine in some detail two recent attempts to interpret Hume as a realist (sections II-III). I contend that these revisionary accounts ascribe unHumean doctrines to Hume. The interpretation of Hume as an irreducible 'mood' sceptic or as a phenomenalist are in that respect both closer to the mark, but Hume's reflective return to the vulgar has recast the nature of the problem and leaves us with a position that is not reflected in the more traditional interpretations (section IV). (shrink)

In this chapter I defend a methodological view about how we should conduct substantive ethical inquiries in the fields of normative and practical ethics. I maintain that the direct plausibility and implausibility of general ethical principles – once fully clarified and understood – should be foundational in our substantive ethical reasoning. I argue that, in order to expose our ethical intuitions about particular cases to maximal critical scrutiny, we must determine whether they can be justified by directly plausible (...) class='Hi'>principles. To expose apparently plausible principles to maximal critical scrutiny, we must determine whether their direct plausibility can survive careful clarification of what they are really saying. This means that intuitions about cases are useful only in (a) suggesting principles that must stand on their own two feet, and (b) illustrating or otherwise helping us clarify what a principle is really saying. We should not reject principles that seem most directly plausible after we have fully clarified their content simply because they conflict with our intuitions about cases, because to do so is to side with uncritical prejudices over the teachings of critical scrutiny. (shrink)

Fermat’s Least Time Principle has a long history. World’s foremost academies of the day championed by their most prestigious philosophers competed for the glory and prestige that went with the solution of the refraction problem of light. The controversy, known as Descartes - Fermat controversy was due to the contradictory views held by Descartes and Fermat regarding the relative speeds of light in different media. Descartes with his mechanical philosophy insisted that every natural phenomenon must be explained by mechanical (...) class='Hi'>principles. Fermat on the other hand insisted an end purpose for every motion. For example, least time of travel and not the least distance of travel is the end purpose for motion of light. This implied a thinking nature, which was rejected by Descartes. Surprisingly, with contradictory assumptions regarding the relative speeds of light in different media, both Descartes and Fermat came to the same result that the ratio of sines of angles of incidence and refraction is a constant. Fermat’s result came to be known as the ‘Fermat’s least time principle’. We show in this article that Fermat’s least time principle violates a fundamental theorem in geometry – the Ptolemy’s theorem. That leads to the invalidity of Fermat’s principle. -/- . (shrink)

Recent years have witnessed intensive efforts to specify which requirements ethical artificial intelligence (AI) must meet. General guidelines for ethical AI consider a varying number of principles important. A frequent novel element in these guidelines, that we have bundled together under the term explicability, aims to reduce the black-box character of machine learning algorithms. The centrality of this element invites reflection on the conceptual relation between explicability and the four bioethical principles. This is important because the application (...) of general ethical frameworks to clinical decision-making entails conceptual questions: Is explicability a free-standing principle? Is it already covered by the well-established four bioethical principles? Or is it an independent value that needs to be recognized as such in medical practice? We discuss these questions in a conceptual-ethical analysis, which builds upon the findings of an empirical document analysis. On the example of the medical specialty of radiology, we analyze the position of radiological associations on the ethical use of medical AI. We address three questions: Are there references to explicability or a similar concept? What are the reasons for such inclusion? Which ethical concepts are referred to? (shrink)

Hilbert’s choice operators τ and ε, when added to intuitionistic logic, strengthen it. In the presence of certain extensionality axioms they produce classical logic, while in the presence of weaker decidability conditions for terms they produce various superintuitionistic intermediate logics. In this thesis, I argue that there are important philosophical lessons to be learned from these results. To make the case, I begin with a historical discussion situating the development of Hilbert’s operators in relation to his evolving program in the (...) foundations of mathematics and in relation to philosophical motivations leading to the development of intuitionistic logic. This sets the stage for a brief description of the relevant part of Dummett’s program to recast debates in metaphysics, and in particular disputes about realism and anti-realism, as closely intertwined with issues in philosophical logic, with the acceptance of classical logic for a domain reflecting a commitment to realism for that domain. Then I review extant results about what is provable and what is not when one adds epsilon to intuitionistic logic, largely due to Bell and DeVidi, and I give several new proofs of intermediate logics from intuitionistic logic+ε without identity. With all this in hand, I turn to a discussion of the philosophical significance of choice operators. Among the conclusions I defend are that these results provide a finer-grained basis for Dummett’s contention that commitment to classically valid but intuitionistically invalid principles reflect metaphysical commitments by showing those principles to be derivable from certain existence assumptions; that Dummett’s framework is improved by these results as they show that questions of realism and anti-realism are not an “all or nothing” matter, but that there are plausibly metaphysical stances between the poles of anti-realism and realism, because different sorts of ontological assumptions yield intermediate rather than classical logic; and that these intermediate positions between classical and intuitionistic logic link up in interesting ways with our intuitions about issues of objectivity and reality, and do so usefully by linking to questions around intriguing everyday concepts such as “is smart,” which I suggest involve a number of distinct dimensions which might themselves be objective, but because of their multivalent structure are themselves intermediate between being objective and not. Finally, I discuss the implications of these results for ongoing debates about the status of arbitrary and ideal objects in the foundations of logic, showing among other things that much of the discussion is flawed because it does not recognize the degree to which the claims being made depend on the presumption that one is working with a very strong logic. (shrink)

This paper articulates a general distinction between two important communicative ideals—expressive sincerity and discursive integrity—and then uses it to analyze problems with political debate in contemporary democracies. In the context of philosophical discussions of different forms of trustworthiness and debates about deliberative democracy, self-knowledge, and moral testimony, the paper develops three arguments for the conclusion that, although expressive sincerity is valuable, we should not ignore discursive integrity in thinking about how to address problems with contemporary political debate. The paper concludes (...) with a brief discussion of a strategy for improving discursive integrity within public political debate by reflecting on which principles of responsible public debate would promote better democratic decision making. (shrink)

What role, if any, should our moral intuitions play in moral epistemology? We make, or are prepared to make, moral judgments about a variety of actual and hypothetical situations. Some of these moral judgments are more informed, reflective, and stable than others (call these ourconsideredmoral judgments); some we make more confidently than others; and some, though not all, are judgments about which there is substantial consensus. What bearing do our moral judgments have on philosophical ethics and the search for first (...) principles in ethics? Should these judgments constrain, or be constrained by, philosophical theorizing about morality? On the one hand, we might expect first principles to conform to our moral intuitions or at least to our considered moral judgments. After all, we begin the reflection that may lead to first principles from particular moral convictions. And some of our moral intuitions (e.g., that genocide is wrong) are more fixed and compelling than any putative first principle. If so, we might expect common moral beliefs to have an important evidential role in the construction and assessment of first principles. On the other hand, common moral beliefs often rest on poor information, reflect bias, or are otherwise mistaken. We often appeal to moral principles to justify our particular moral convictions or to resolve our disagreements. Insofar as this is true, we may expect first principles to provide a foundation on the basis of which to test common moral beliefs and, where necessary, form new moral convictions. (shrink)

This article argues that, suitably modified, the method of reflective equilibrium is a plausible way of selecting moral principles. The appropriate conception of the method is wide and radical, admitting consideration of a full range of moral principles and arguments, and requiring the enquiring individual to consider others' views and undergo experiences that may offset any formative biases. The individual is not bound by his initial considered judgments, and may revise his view in any way whatsoever. It is (...) appropriate to describe the method as a balance between coherentism and fallibilist foundationalism. With these points in mind, various criticisms, including the claims that considered judgments are not initially credible and are shaped by prejudice, and that the method itself fails to determine principle selection, are challenged. (shrink)

1. Law and morals as two systems of norms, and the inner morality of law 2. Law as a value bearer and as a mere external indicator 3. The inner and external moral credit of legislator 4. The inner morality of law. As to the last paragraph, the most striking feature of the inner morality of law is that it is such a possible characteristic, surplus quality which is not a sine qua non, which law is conceivable without. However, it (...) is a question whether law can long do without it? In principle, the legislator is free in deciding on what legal consequence he attaches to what course of conduct14 and it is also desirable that legal concepts be freed from moral overtones. Nevertheless, the legal complex cannot be torn out of its social context, nor can it steadily conflict with other complexes (religions, moral, or political values, norms and ideologies) law is to develop in living interrelationship with. Otherwise, it is subject to danger that (I) law-observance in average cases is weakened; (2) the reified functioning of and approach to law are strengthened and make law alienated; and (3) it blurs the social objectives the law intends to serve and, especially in hard cases, makes its application rootless and floating. A pathological situation only becomes more pathological, if the pathology of contents is accompanied by the pathology of means. Or, it brings the promise of real solution closer, if the adequateness of means also provides, by the strength of publicity, for the direct mobilization of society. That explains why it is a topical question what I have proposed to term the inner morality of law. [For the text, see my L&Ph, 77–89] . (shrink)

Is there an approach to human rights that justifies rights-allocating moral-political principles as principles that are equally acceptable by everyone to whom they apply, while grounding them in categorical, reasonably non-rejectable foundations? The paper examines Rainer Forst’s constructivist attempt to provide such an approach. I argue that his view, far from providing an alternative to “ethical” approaches, depends for its own reasonableness on a reasonably contestable conception of the good, namely, the good of constitutive discursive standing. This suggests (...) a way in which constructivism about human rights might be able to coherently and plausibly negotiate the tension between the scope, the depth and the strength of discursive inclusion: the justification of rights-allocating moral-political principles needs to be premised on an “ethical”, perfectionist defense of the good of constitutive discursive standing. (shrink)

Part 1 of this paper discusses some uses of arguments from radical moral disagreement—in particular, as directed against absolutist cognitivism—and surveys some semantic issues thus made salient. It may be argued that parties to such a disagreement cannot be using the relevant moral claims with exactly the same absolutist cognitive content. That challenges the absolutist element of absolutist cognitivism, which, combined with the intractable nature of radical moral disagreement, in turn challenges the viability of a purely cognitivist account of moral (...) judgments. Such a conclusion could be staved off if it could be held that a sufficient condition for commonality of cognitive content in moral judgments could consist, despite the presence of radical moral disagreement, in the parties’acceptance of a common set of fundamental moral principles. Part 1 begins, and Part 2 further develops, a destructive critique of that idea, leading thereby to a skeptical appraisal of the important role sometimes assigned, in metaethical theorizing, to moral rules. Inter alia the paper is intended to suggest the possibility of overlap between relativist and particularist agendas. (shrink)

This article explores the usefulness of interdisciplinarity as method of enquiry by proposing an investigation of the concept of information in the light of semiotics. This is because, as Kull, Deacon, Emmeche, Hoffmeyer and Stjernfelt state, information is an implicitly semiotic term (Biological Theory 4(2):167–173, 2009: 169), but the logical relation between semiosis and information has not been sufficiently clarified yet. Across the history of cybernetics, the concept of information undergoes an uneven development; that is, information is an ‘objective’ entity (...) in first order cybernetics, and becomes a ‘subjective’ entity in second order cybernetics. This contradiction relegates the status of information to that of a ‘true’ or ‘false’ formal logic problem. The present study proposes that a solution to this contradiction can be found in Deely’s reconfiguration of Peirce’s ‘object’ (as found in his triadic model of semiosis) into ‘thing’ and ‘object’ (Deely 1981). This ontology allows one to argue that information is neither ‘true’ nor ‘false’, and to suggest that, when considered in light of its workability, information can be both true and false, and as such it constitutes an organism’s purely objective reality (Deely 2009b). It is stated that in the process of building such a reality, information is ‘motivated’ by environmental, physiological, emotional (including past feelings and expectations) constraints which are, in turn, framed by observership. Information is therefore found in the irreducible cybersemiotic process that links at once all these conditions and that is simultaneously constrained by them. The integration of cybernetics’ and semiotics’ understanding of information shows that history is the analytical principle that grants scientific rigour to interdisciplinary investigations. As such, in any attempt to clarify its epistemological stance (e.g. the semiotic aspect of information), it is argued that biosemiotics does not need only to acknowledge semiotics (as it does), but also cybernetics in its interdisciplinary heritage. (shrink)

Sometimes a proposition is ‘opaque’ to an agent: he doesn't know it, but he does know something about how coming to know it should affect his or her credence function. It is tempting to assume that a rational agent's credence function coheres in a certain way with his or her knowledge of these opaque propositions, and I call this the ‘Opaque Proposition Principle’. The principle is compelling but demonstrably false. I explain this incongruity by showing that the principle is ambiguous: (...) the term ‘know’ as it appears in the principle can be interpreted in two different ways, as either basic-know or super-know. I use this distinction to construct a plausible version of the principle, and then to similarly construct plausible versions of the Reflection Principle and the Sure-Thing Principle. (shrink)

ABSTRACT This essay focuses on two underlying presumptions that impinge on the effort of UNESCO to engender universal agreement on a set of bioethical norms: the conception of universality that pervades much of the document, and its disregard of structural inequalities that significantly impact health. Drawing on other UN system documents and recent feminist bioethics scholarship, we argue that the formulation of universal principles should not rely solely on shared ethical values, as the draft document affirms, but also on (...) differences in ethical values that obtain across cultures. UNESCO's earlier work on gender mainstreaming illustrates the necessity of thinking from multiple perspectives in generating universal norms. The declaration asserts the ‘fundamental equality of all human beings in dignity and rights’1 and insists that ‘the highest attainable standard of health is one of the fundamental rights of every human being without distinction of race, religion, political belief, economic or social condition’2 yet it does not explicitly recognize disparities of power and wealth that deny equal dignity and rights to many. Without attention to structural (as opposed to merely accidental) inequities, UNESCO's invocation of rights is so abstract as to be incompatible with its avowed intention. (shrink)

Science is defined as systematized knowledge of any kind that reflects a precise application of facts or principles. Viewed in this light Guru Nanak's life was a continuous process of scientific experimentation and enunciation. In this article, an attempt is made to bring out the scientific temper and the application of the methodology of science in guru Nanak's life. Scientific methodology is defined as a mode of research in which a problem is identified, relevant data gathered, a hypothesis formulated (...) and then empirically tested. The hypothesis that God alone Is, is an ancient tenet, tested and verified many times in mankind's history. However, it was given to Guru Nanak to prove this truth in the modern context. (shrink)