Current debate and policy surrounding the use of genetic editing in humans often relies on a binary distinction between therapy and human enhancement. In this paper, we argue that this dichotomy fails to take into account perhaps the most significant potential uses of CRISPR-Cas9 gene editing in humans. We argue that genetic treatment of sporadic Alzheimer’s disease, breast- and ovarian-cancer causing BRCA1/2 mutations and the introduction of HIV resistance in humans should be considered within a new category of (...) genetic protection treatments. We find that if this category is not introduced, life-altering research might be unnecessarily limited by current or future policy. Otherwise ad hoc decisions might be made, which introduce a risk of unforeseen moral costs, and might overlook or fail to address some important opportunities. (shrink)

The article explores the landscape in higher education in which old binary divisions are officially denied yet have been reinvigorated through a mix of conservative and neo-liberal policies. Efforts to resist such pressures can happen at different levels, including, in this case, module design and classroom practice. The rationale for such resistance is considered in relationship to the authors’ political and moral standpoints. Debates within higher education policy circles are invariably reduced to a series of oppositions: theory and practice; (...) training and education; research and teaching. The article seeks to break down such polarities through an exploration of classroom practice. In fact, we argue that such distinctions help to legitimize the existing inequalities in higher education and group-based harms, which characterize the sector. Instead, a case is made for a pedagogy that enables students, particularly those from diverse and disadvantaged backgrounds, to use their experiences, values, etc. to exchange and develop ideas in a group context, thereby providing an important means of collective empowerment (intellectual and practical, both at work and in their private lives). In this process students are encouraged to use ethical theories as tools to explain and underpin their understanding of work-based scenarios. The role of the academic is to facilitate such exchanges and foster new ethical approaches and a public awareness and engagement that goes beyond the classroom. The pedagogic approach, drawing on notions of relational autonomy and narrative methods as well as providing spaces for the co-production of new knowledge, confirms the indivisibility of research and teaching. (shrink)

Categorical logic has shown that modern logic is essentially the logic of subsets (or "subobjects"). Partitions are dual to subsets so there is a dual logic of partitions where a "distinction" [an ordered pair of distinct elements (u,u′) from the universe U ] is dual to an "element". An element being in a subset is analogous to a partition π on U making a distinction, i.e., if u and u′ were in different blocks of π. Subset logic leads (...) to finite probability theory by taking the (Laplacian) probability as the normalized size of each subset-event of a finite universe. The analogous step in the logic of partitions is to assign to a partition the number of distinctions made by a partition normalized by the total number of ordered pairs |U|² from the finite universe. That yields a notion of "logical entropy" for partitions and a "logical information theory." The logical theory directly counts the (normalized) number of distinctions in a partition while Shannon's theory gives the average number of binary partitions needed to make those same distinctions. Thus the logical theory is seen as providing a conceptual underpinning for Shannon's theory based on the logical notion of "distinctions.". (shrink)

Jaspers’s binary distinction between understanding and explanation has given way first to a proliferation of explanatory levels and now, in John Campbell’s recent work, to a conception of explanation with no distinct levels of explanation and no inbuilt rationality requirement. I argue that there is still a role for understanding in psychiatry and that is to demystify the assumption that the states it concerns are mental. This role can be fulfilled by placing rationality at the heart of understanding (...) without a commitment to the attempt to use rationality to shed light on interpretation and mindedness as though from outside those notions. Delusions still present a significant challenge to philosophical attempts at understanding, but this merely reflects the genuine clinical difficulties such states present. (shrink)

Building on Peter French’s important work, this chapter draws three distinctions that arise in the context of attributions of moral responsibility, understood as the extent to which an agent is blameworthy or praiseworthy. First, the subject of an attribution of responsibility may be an individual agent or a collective agent. Second, the object of the responsibility attribution may be an individual action (or consequence) or a collective action (or consequence). The third distinction concerns the temporal dimension of the responsibility (...) attribution. Sometimes responsibility for an action is attributed to an agent at the time of the action. At other times responsibility for an action is attributed to an agent sometime after the action has taken place. Taken together, these three binary distinctions yield eight types of responsibility attribution. It is argued that a collective agent’s responsibility for a past collective act is properly understood on the same theoretical model as is an individual’s responsibility for a past individual act. While most assume that responsibility over time is a straightforward matter of identity over time, it is argued that instead this is a matter of psychological or attitudinal connectedness. The possibility is considered that this relation also grounds attributions involving an asymmetry between subject and object, such as individual responsibility for past collective action, but a skeptical worry is raised that such attributions entail an unpalatable form of moral luck and should therefore be rejected. (shrink)

Memory perspectives on past events allegedly take one of two shapes. In field memories, we recall episodes from a first-person point of view, while in observer memories, we look at a past scene from a third-person perspective. But this mere visuospatial dichotomy faces several practical and conceptual challenges. First, this binary distinction is not exhaustive. Second, this characterization insufficiently accounts for the phenomenology of observer memories. Third, the focus on the visual aspect of memory perspective neglects emotional, agential, (...) and self-related social aspects. Fourth, the focus on the time of recall neglects the fact that visual, emotional, agential, and social aspects of perspective can also be dissociated in the original experience. In this chapter, we move away from the standard visual dichotomy. Instead, we propose that memory perspective is better understood along four lines: visual, agential, emotional, and social. Drawing on empirical research, we argue that these dimensions predict a disposition to recall a past event based on the present situation of the memorizer. This account supports seeing episodic memory as a natural kind, supported by scenario construction mechanisms and minimal memory traces. By remapping the classic distinction between field and observer perspectives along four dimensions, our proposal provides explanatory advantages and secures practical gains by enabling testable hypotheses. (shrink)

Xenophobia is conceptually distinct from racism. Xenophobia is also distinct from nativism. Furthermore, theories of racism are largely ensconced in nationalized narratives of racism, often influenced by the black-white binary, which obscures xenophobia and shelters it from normative critiques. This paper addresses these claims, arguing for the first and last, and outlining the second. Just as philosophers have recently analyzed the concept of racism, clarifying it and pinpointing why it’s immoral and the extent of its moral harm, so we (...) will analyze xenophobia and offer a pluralist account of xenophobia, with important implications for racism. This analysis is guided by the discussion of racism in recent moral philosophy, social ontology, and research in the psychology of racism and implicit attitudes. (shrink)

Sentences containing definite descriptions, expressions of the form ‘The F’, can be formalised using a binary quantifier ι that forms a formula out of two predicates, where ιx[F, G] is read as ‘The F is G’. This is an innovation over the usual formalisation of definite descriptions with a term forming operator. The present paper compares the two approaches. After a brief overview of the system INFι of intuitionist negative free logic extended by such a quantifier, which was presented (...) in (Kürbis 2019), INFι is first compared to a system of Tennant’s and an axiomatic treatment of a term forming ι operator within intuitionist negative free logic. Both systems are shown to be equivalent to the subsystem of INFι in which the G of ιx[F, G] is restricted to identity. INFι is then compared to an intuitionist version of a system of Lambert’s which in addition to the term forming operator has an operator for predicate abstraction for indicating scope distinctions. The two systems will be shown to be equivalent through a translation between their respective languages. Advantages of the present approach over the alternatives are indicated in the discussion. (shrink)

This paper identifies two distinct dimensions of what might be called testimonial strength: first, in the case of testimony from more than one speaker, testimony can be said to be stronger to the extent that a greater proportion of the speakers give identical testimony; second, in both single-speaker and multi-speaker testimony, testimony can be said to the stronger to the extent that each speaker expresses greater conviction in the relevant proposition. These two notions of testimonial strength have received scant attention (...) in the philosophical literature so far, presumably because it has been thought that whatever lessons we learn from thinking about testimony as a binary phenomenon will apply mutatis mutandis to varying strengths of testimony. This paper shows that this will not work for either of the two aforementioned dimensions of testimonial strength, roughly because less testimony can provide more justification in a way that can only be explained by appealing to the (non-binary) strength of the testimony itself. The paper also argues that this result undermines some influential versions of non-reductionism about testimonial justification. (shrink)

Why is there something rather than nothing? This paper explores one particular argument in favor of the answer that 'the existence of nothing' would amount to a logical contradiction. This argument consists of positing the existence of a novel entity, called a bion, of which all contingent things can be composed yet itself is non-contingent. First an overview of historical attempts to compile a systematic and exhaustive list of answers to the question is presented as context. Then follows an analysis (...) of how the antropic principle would manifest itself in a world that consists of information and at the same time conforms to modal realism. Next, a thought experiment introduces bions as the foundation of such a world, showing how under these circumstances the ultimate origin of all existing things would be explained. The non-contingent nature of bions themselves is subsequently argued via a discussion of the principle of non-contradiction. Finally, this theory centered on the existence of bions is integrated into the worldview of Popperian metaphysics. According to the latter's criteria, I conclude that bion theory provides an integral answer to why there is something rather than nothing. (shrink)

I look at the distinction between between realist and antirealist views of the quantum state. I argue that this binary classification should be reconceived as a continuum of different views about which properties of the quantum state are representationally significant. What's more, the extreme cases -- all or none --- are simply absurd, and should be rejected by all parties. In other words, no sane person should advocate extreme realism or antirealism about the quantum state. And if we (...) focus on the reasonable views, it's no longer clear who counts as a realist, and who counts as an antirealist. Among those taking a more reasonable intermediate view, we find figures such as Bohr and Carnap -- in stark opposition to the stories we've been told. (shrink)

Consider a binary afterlife, wherein some people go to Heaven, others to Hell, and nobody goes to both. Would such a system be just? Theodore Sider argues: no. For, any possible criterion of determining where people go will involve treating very similar individuals very differently. Here, I argue that this point has deep and underappreciated implications for moral philosophy. The argument proceeds by analogy: many ethical theories make a sharp and practically significant distinction between persons and non-persons. Yet, (...) just like in the binary afterlife, this involves treating very similar individuals very differently. I propose two ways out. The first is to deny that such theories are strictly speaking true, but to claim that it is practically best if people adopt them. The second is to modify such theories so as to allow for continuous variation in the scope and strength of the moral obligations arising from personhood. (shrink)

The advance of mechanism in science and philosophy in the 17th century created a great interest to machines or automata. Leibniz was no exception - in an early memoir Drôle de pensée he wrote admiringly about a machine that could walk on water, exhibited in Paris. The idea of automatic processing in general had a large role in his thought, as can be seen, for example, in his invention of the binary code and the so-called Calculemus!-model for solving controversies. (...) In metaphysics, the idea of an automata was expressed most clearly in the 1695 article New System of the Nature of Substances and their Communication, and the ensuing correspondence with, among others, Foucher, Bayle, Lamy, Jaquelot and Masham. In the article Leibniz discusses the soul as a spiritual machine in the context of pre-established harmony, arguing that God can "give to a substance at the outset a nature or internal force which could produce in it an orderly way (as in spiritual or formal automaton; but a free one, in the case of a substance which is endowed with a share of reason) everything that is going to happen to it, that is to say, all the appearances or expressions it is going to have, and all without the help of any created thing." The basic idea of Leibniz's spiritual machine is that the soul or entelechy is an autonomous and spontaneous unity, consisting of internal active force and producing its own perceptions (both confused and distinct). It is a self-moving machine, driven by its perceptions and appetites, but it follows (without being conscious of it) a lawful series or programme created by God. The entelechy remains the same despite undergoing an infinite number of changes. To Foucher he explained that each state of the individual substance is a consequence of its preceding one, "as if there were only God and the substance in the world". Despite this, the spiritual machine is related not only to God, but through the pre-established harmony to bodies or natural machines. However, as it is not dependent on them, the spiritual machine is superiot to natural machines. In this paper I concentrate on three moral themes related to the spiritual machine: moral deliberation, moral identity and the goal of moral action. All these themes are more or less implicit in the New System, but are discussed in more detail in the ensuing correspondence after the publication of the article. Finally, the themes are given an extended discussion especially in the second book of New Essays on Human Understanding (1704, published 1765), written partly at the same time as some of the correspondence and unpublished related material. I will first give an overview of Leibniz's position concerning the spiritual machine or automaton in the New System and then go on to explore the three moral themes one by one, as they feature in the subsequent correspondence and in the New Essays. I will show that the three topics are essential to the function of the spiritual machine – to Sophie Charlotte Leibniz wrote: "...let us say that everything in bodies happens mechanically, or in accordance with laws of motion, and that everything in the soul happens morally, or in accordance with perceived good or evil." There are many texts that anticipate the views in the New System (notably the unpublished memoir De Affectibus of 1679) and Leibniz continued to discuss its themes later on (in addition to correpondence, for example, in Theodicy of 1710 and Monadology and Principles of Nature and Grace of 1714). Here I focus on the short-term development of Leibniz's views on the topic (around 1695-1705), but I argue that his basic view of the spiritual machine did not change much after finishing the dialogue with Locke in 1704. (shrink)

The purpose of my paper is to challenge the binary classification of authenticity, which is currently employed in the bioethical debate on enhancement technologies. According to the standard dichotomy, there is a stark opposition between the self-discovery model, which depicts the self as a substantial and original inwardness, and the self-creation model, which assumes that the self is an open project, that has to be constituted by one’s free actions. My claim is that the so-called self-creation model actually conflates (...) two distinct versions of authenticity: one that is decisionist and one that is experimentalist. Hence, my proposal is to distinguish between three different models of authenticity: (i) self-discovery, which is an expressivist model of authenticity; (ii) existential commitment, which is a decisionist model; and (iii) reinvention of the self, which is an experimentalist model. Such a three-fold distinction will vast a more nuanced and clear light upon the enhancement debate. (shrink)

Cardiovascular diseases, including heart disease, pose a significant global health challenge, contributing to a substantial burden on healthcare systems and individuals. Early detection and accurate prediction of heart disease are crucial for timely intervention and improved patient outcomes. This research explores the potential of neural networks in predicting heart disease using a dataset collected from Kaggle, consisting of 1025 samples with 14 distinct features. The study's primary objective is to develop an effective neural network model for binary classification, identifying (...) the presence or absence of heart disease. The neural network architecture includes an input layer, a hidden layer, and an output layer, designed to capture intricate relationships within the dataset. Rigorous training and validation processes, accompanied by data preprocessing steps, ensure the model's robustness and generalization capabilities. The results demonstrate promising performance, with an accuracy of 92% and an average error of 0.062. Moreover, an analysis of feature importance highlights key predictors, including "oldpeak," "thalach," "trestbps," "ca," "thal," "cp," "chol," "sex," "restecg," "age," "slope," "fbs," and "exang." This research contributes to the field of predictive healthcare by leveraging neural networks to enhance heart disease prediction. The developed model offers the potential for early identification of individuals at risk, facilitating timely medical interventions and ultimately improving public health. Further exploration of machine learning techniques in healthcare promises to reshape disease prediction and prevention strategies. (shrink)

The Global Financial Crisis of 2007–2009 exacerbated two distinct concerns about the independence of central banks: a concern about legitimacy and a concern about economic justice. This paper explores the legitimacy of independent central banks from the perspective of these two concerns, by presenting two distinct models of central banking and their different claims to political legitimacy and distributive justice. I argue primarily that we should avoid construing central bank independence in binary terms, such that central banks either are, (...) or are not, independent. I will argue that we should instead construe central bank independence in scalar terms, so that independence admits of degree, thus allowing us to develop an account of independence in which central banks can retain it to the extent necessary for economic efficiency, while meeting reasonable concerns regarding democratic legitimacy and economic justice. (shrink)

People often assume that everyone can be divided by sex/gender (that is, by physical and social characteristics having to do with maleness and femaleness) into two tidy categories: male and female. Careful thought, however, leads us to reject that simple ‘binary’ picture, since not all people fall precisely into one group or the other. But if we do not think of sex/gender in terms of those two categories, how else might we think of it? Here I consider four distinct (...) models; each model correctly captures some features of sex/gender, and so each is appropriate in some contexts. But the first three models are inadequate when tough questions arise, like whether trans women should be admitted as students at a women’s college or when it is appropriate for intersex athletes to compete in women’s athletic events. (‘Trans’ refers to the wide range of people who have an atypical gender identity for someone of their birth-assigned sex, and ‘intersex’ refers to people whose bodies naturally develop with markedly different physical sex characteristics than are paradigmatic of either men or women.) Such questions of inclusion and exclusion matter enormously to the people whose lives are affected by them, but ordinary notions of sex/gender offer few answers. The fourth model I describe is especially designed to make those hard decisions easier by providing a process to clarify what matters. (shrink)

Pronouns often convey information about a person’s social identity (e.g., gender). Consequently, pronouns have become a focal point in academic and public debates about whether pronouns should be changed to be more inclusive, such as for people whose identities do not fit current pronoun conventions (e.g., gender non-binary individuals). Here, we make an empirical contribution to these debates by investigating which social identities lay speakers think that pronouns should encode and why. Across four studies, participants were asked to evaluate (...) different types of real and hypothetical pronouns, including binary gender pronouns, race pronouns, and identity-neutral pronouns. We sampled participants from two languages with different pronoun systems: English (N = 1,120) and Turkish (N = 260). English pronouns commonly denote binary gender (e.g., he for men), whereas Turkish pronouns are identity-neutral (e.g., o for anyone). Participants’ reasoning about pronouns reflected both a familiarity preference (i.e., participants preferred the pronoun type used in their language) and—critically—participants’ social ideologies. In both language contexts, participants’ ideological beliefs that social groups are inherently distinct (essentialism) and should be hierarchal (social dominance orientation) predicted relatively greater endorsement of binary gender pronouns and race pronouns. A preregistered experimental study with an English-speaking sample showed that the relationship between ideology and pronoun endorsement is causal: Ideologies shape attitudes toward pronouns. Together, the present research contributes to linguistic and psychological theories concerning how people reason about language and informs policy-relevant questions about whether and how to implement language changes for social purposes. (shrink)

An important moral category—dishonest speech—has been overlooked in theoretical ethics despite its importance in legal, political, and everyday social exchanges. Discussion in this area has instead been fixated on a binary debate over the contrast between lying and ‘merely misleading’. Some see lying as a distinctive wrong; others see it as morally equivalent to deliberately omitting relevant truths, falsely insinuating, or any other species of attempted verbal deception. Parties to this debate have missed the relevance to their disagreement of (...) the notion of communicative dishonesty. Communicative dishonesty need not take the form of a lie, yet its wrongness does not reduce to the wrongness of seeking to deceive. This paper therefore proposes a major shift of attention away from the lying/misleading debate and towards the topic of communicative dishonesty. Dishonesty is not a simple notion to define, however. It presupposes a difficult distinction between what is and is not expressed in a given utterance. This differs from the more familiar distinction between what is and is not said, the distinction at the heart of the lying/misleading debate. This paper uses an idea central to speech act theory to characterize dishonesty in terms of the utterer’s communicative intentions, and applies the resulting definition to a variety of contexts. (shrink)

Our gender identity is our sense of ourselves as a woman, a man, as genderqueer, or as another gender. Our gender is the property we have of being a woman, being a man, being non-binary, or being another gender. What is the relationship between our gender identity and our gender? Recently, much work has been done on ameliorative accounts of the gender concepts that we should accept and on the metaphysics of gender properties. From this work 4 views of (...) the relationship between having gender identity G (e.g. having a female gender identity) and being a gender G (e.g. being a woman) have emerged. A first, the no connection view, says that gender identity and gender are entirely distinct; Sally Haslanger’s ameliorative account of gender, as well as Theodore Bach’s account of gender properties, are instances of this view. A second, the gender-identity-first view, says that all there is to our gender is our gender identity; this view is at least similar to views that Talia Bettcher and R.A. Briggs and B.R. George have argued for. A third, contextualist view, says that in some contexts and relative to certain standards, our gender identity determines our gender, and that in others it does not; Ásta and Robin Dembroff have proposed and defended views along these lines. A fourth view, the two gender properties view, says that there are two properties that can make it the case that one is gender G (in any context), one’s having gender identity G and one’s being socially classed as a G; Katharine Jenkins and Elizabeth Barnes have proposed views along these lines. This article explains these 4 different views and spells out their prospects, and the problems they face, as both ameliorative and as metaphysical views. (shrink)

‘Substance’ (substantia, zelfstandigheid) is a key term of Spinoza’s philosophy. Like almost all of Spinoza’s philosophical vocabulary, Spinoza did not invent this term, which has a long history that can be traced back at least to Aristotle. Yet, Spinoza radicalized the traditional notion of substance and made a very powerful use of it by demonstrating – or at least attempting to demonstrate -- that there is only one, unique substance -- God (or Nature) -- and that all other things are (...) merely modes or states of God. Some of Spinoza’s readers understood these claims as committing him to the view that only God truly exists, and while this interpretation is not groundless, we will later see that this enticing and bold reading of Spinoza as an ‘acosmist’ comes at the expense of another audacious claim Spinoza advances, i.e., that God/Nature is absolutely and actually infinite. But before we reach this last conclusion, we have a long way to go. So, let me first provide an overview of our plan. In the first section of this paper we will examine Spinoza’s definitions of ‘substance’ and ‘God’ at the opening of his magnum opus, the Ethics. Following a preliminary clarification of these two terms and their relations to the other key terms defined at the beginning of the Ethics, we will briefly address the Aristotelian and Cartesian background of Spinoza’s discussion of substance. In the second section, we will study the properties of the fundamental binary relations pertaining to Spinoza’s substance: inherence, conception, and causation. The third section will be dedicated to a clarification of Spinoza’s claim that God, the unique substance, is absolutely infinite. This essential feature of Spinoza’s substance has been largely neglected in recent Anglo-American scholarship, a neglect which has brought about an unfortunate tendency to domesticate Spinoza’s metaphysics to more contemporary views. The fourth section will study the nature of Spinoza’s monism. It will discuss and criticize the interesting yet controversial views of the eminent Spinoza scholar, Martial Gueroult, about the plurality of substances in the beginning of the Ethics; address Spinoza’s claim in Letter 50 that, strictly speaking, it is improper to describe God as “one”; and, finally, evaluate Spinoza’s kind of monism against the distinction between existence and priority monism recently introduced into the contemporary philosophical literature. The fifth and final section will explain the nature, reality, and manner of existence of modes. We therefore have an ambitious plan; let’s get down to business. (shrink)

Pablo Gilabert and Holly Lawford-Smith have, both in collaboration and individually, provided a compelling account of feasibility, which states that feasibility is both ‘binary’ and ‘scalar’, and both ‘synchronic’ and ‘diachronic’. This two-dimensional analysis, however, has been the subject of four major criticisms: it has been argued that it rests upon a false distinction between ‘hard’ and ‘soft’ constraints, that it ignores the importance of intentional action, and that diachronic feasibility is incoherent and insensitive to the existence of (...) epistemic limitations. In this paper, I will argue that such objections do not undermine the persuasiveness of Gilabert and Lawford-Smith’s analysis. Nevertheless, I will contend that the latter is susceptible to two other challenges. First, it mistakenly appeals to morality, and, second, it lacks an analysis of ability. I will maintain, however, that such criticisms can be addressed and that a revised version of the account should be adopted. (shrink)

The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pair of elements in distinct blocks of the partition. The logical concept of entropy based on partition logic is the normalized counting measure of the set of distinctions of a partition on a finite set--just as the usual logical notion of probability based on the Boolean (...) logic of subsets is the normalized counting measure of the subsets (events). Thus logical entropy is a measure on the set of ordered pairs, and all the compound notions of entropy (join entropy, conditional entropy, and mutual information) arise in the usual way from the measure (e.g., the inclusion-exclusion principle)--just like the corresponding notions of probability. The usual Shannon entropy of a partition is developed by replacing the normalized count of distinctions (dits) by the average number of binary partitions (bits) necessary to make all the distinctions of the partition. (shrink)

-/- For all that digital methods—including network visualization, text analysis, and others—have begun to show extensive promise in philosophical contexts, a tension remains between two uses of those tools that have often been taken to be incompatible, or at least to engage in a kind of trade-off: the discovery of new hypotheses and the testing of already-formulated positions. This paper presents this basic distinction, then explores ways to resolve this tension with the help of two interdisciplinary case studies, taken (...) from preregistration in contemporary science and the debate over whig history in the history of science. These case studies, the paper argues, refocus our attention from a mutually exclusive testing/discovery binary to the relationship between our background data or philosophical views and the empirical generalizations that we might draw from the data. Finally, it develops a set of three challenges for philosophers and corresponding avenues for future work that will, it is hoped, allow us to better justify our use of these methods. (shrink)

We argue that least-developed countries (LDCs) should be treated as a distinct group from developing countries within theories of global justice generally, and theories of trade justice more specifically. While authors within the trade justice literature occasionally make passing reference to LDCs’ entitlement to special favourable treatment from other states, little is said about what form this treatment should take, and how such entitlements relate to the obligations and entitlements of both developed and developing countries. This oversight is untenable in (...) that it neglects the different character and urgency of LDCs’ needs with respect to the economic opportunities afforded to them in international markets. Moreover, by categorising trading states into binary categories of developed/developing or rich/poor, trade justice theorists have ended up obscuring and passing over unavoidable conflicts between least-developed and developing countries’ interests, the weighing of which should be central to any complete normative evaluation of the trade regime. We provide an example of such a conflict of interest and how it should be resolved by examining the structural barrier to LDC economic development presented by the current success of many developing countries in export manufacturing. We argue in favour of a trade policy intervention that would dismantle this structural barrier (by inducing export firms to move to LDCs), even though this means diverting valuable economic opportunities from developing countries. (shrink)

Recent feminist and postmodern thought has critiqued traditional conceptions of masculinity, describing the effect that the distinctive masculinity of the "man of reason" has had on the history of philosophy, on consciousness, and on the academy. A common characteristic of the recent literature on masculinity is that it reflects the historical and cultural context in which it is written -- a context of binary, hierarchical dualisms which involve certain symbolic associations. These dualisms, such as Man-Woman, masculine-feminine, and reason-emotion, arguably (...) find their roots in Pythagorean philosophy and can be traced through the Renaissance to our current historical context. One example is our conception of reason: the association of maleness with a clear, determinate mode of thought, i.e. reason, was incorporated into the form-matter distinction that was central to Greek thought. This paper will show that in cases where women attempt to redefine the dichotomy by revaluing the traditionally feminine (like feelings and emotions) over the traditionally masculine (like reason) their work is often mistakenly criticized for being purely political; conversely, when men attempt to redefine the same dichotomy in an attempt to allow men to "get back in touch with their feelings," to be nurturers, their work is described in terms of providing a better epistemology. The current literature on masculinity explores alternatives to rewriting or redefining Woman that try to avoid the problem of status remaining with redefinition. This alternative is rewriting or redefining Man. Through redefining Man, one may be able to reconceptualize the privileged side of the hierarchical dualism in such a way that it is no longer privileged. Deprivileging, as well as redefining Man, is argued by theorists of masculinity to be possible because while the devalued status of the inferior side of a hierarchical dualism tends to keep the same status when redefined, it may be possible to redefine the privileged side of the dualism in such a way that it loses its privileged status. Unfortunately, many of these attempts to rewrite or redefine masculinity have detrimental faults of their own. Finally, this paper will discuss more promising possibilities for new definitions of Man, as well as a vision for better interaction between the work of women and men in general. (shrink)

The topic of this study is the resemblance of individuals. The underlying contention of this dissertation is that the resemblance of individuals is a taxing and challenging philosophical topic. Two main claims are defended in this study to support this contention. The first of these claims is that resemblance is not a binary relation but a monadic multigrade property. The second of these claims is that the metaphysics of resemblance and the metaphysics of properties are distinct, although not independent, (...) philosophical issues. That resemblance is not binary but a monadic multigrade property makes resemblance taxing in at least two ways. First, resemblance is traditionally conceived of as a binary relation and on my account this traditional view is wrong. Second, a metaphysical account of multigrade properties is in itself a challenging issue. That the metaphysics of resemblance and the metaphysics of properties are distinct is motivated by the fact that an answer to the central question of the metaphysics of resemblance, which I identify as the question of whether the resemblance facts are context-relative, is not determined by any positioning on the central debate in the metaphysics of properties: the debate between the realist and the nominalist. Authors engaged in the realist/nominalist debate often address the central question of the metaphysics of resemblance in few words as their interest in resemblance is usually no more than an epiphenomenom of their interest in properties. It is one goal of this study to convince the reader that the central question of the metaphysics of resemblance needs to be addressed with more depth, and that addressing this question is challenging. (shrink)

In the context of feminist and postmodern thought, traditional conceptions of masculinity and what it means to be a “Real Man” have been critiqued. In Genevieve Lloyd's The Man of Reason, this critique takes the form of exposing the effect that the distinctive masculinity of the “man of reason” has had on the history of philosophy. One major feature of the masculine-feminine dichotomy will emerge as a key notion for understanding the rest of the paper: the dichotomy of reason-feeling, a (...) parallel and a foundational aspect to the dichotomy of masculinity and femininity. In exploring the history of symbolic conceptions of masculinity in ancient Greece, the Renaissance, and the present, one finds that the oppression of women is integrally linked to the traditional tie between masculinity and reason. There have been many efforts in recent feminist philosophy to rewrite or redefine “Woman” in such a way as to alleviate the oppression of women. I argue that the effectiveness of rewriting Woman for this purpose is problematic, primarily because any rewriting of this type must occur in the current historical context of hierarchical dualisms, like Man-Woman, masculine-feminine, male-female. These binary oppositions arguably find their roots in Pythagorean philosophy and can be traced through the Renaissance to our current historical context. It is these dualisms that have traditionally valued the masculine side of the Man-Woman dichotomy more than the feminine. Further, it will be argued that the hierarchical dualism of Man and Woman is so pervasive that if we rewrite or redefine the inferior, deprivileged side of that dualism, we cannot correct its devalued status. Instead, we redefine that which is undervalued but retain its devalued status. This particular aspect of attempts to critique hierarchical dualisms like reason and feeling has been reflected in the writings of many feminists, male and female. This paper will show that in cases where women attempt to redefine the dichotomy by revaluing the traditionally feminine (like feelings and emotions) over the traditionally masculine (like reason) their work is often mistakenly criticized for being purely political; conversely, when men attempt to redefine the same dichotomy in an attempt to allow men to “get back in touch with their feelings,” to be nurturers, their work is described in terms of providing a better epistemology. The current literature on masculinity explores alternatives to rewriting or redefining Woman that try to avoid the problem of status remaining with redefinition. This alternative is rewriting or redefining Man. Through redefining Man, one may be able to reconceptualize the privileged side of the hierarchical dualism in such a way that it is no longer privileged. Deprivileging, as well as redefining Man, is argued by theorists of masculinity to be possible because while the devalued status of the inferior side of a hierarchical dualism tends to keep the same status when redefined, it may be possible to redefine the privileged side of the dualism in such a way that it loses its privileged status. Unfortunately, many of these attempts to rewrite or redefine masculinity have detrimental faults of their own. Finally, this paper will discuss more promising possibilities for new definitions of Man, as well as a vision for better interaction between the work of women and men in general. (shrink)

‘Substance’ (substantia, zelfstandigheid) is a key term of Spinoza’s philosophy. Like almost all of Spinoza’s philosophical vocabulary, Spinoza did not invent this term, which has a long history that can be traced back at least to Aristotle. Yet, Spinoza radicalized the traditional notion of substance and made a very powerful use of it by demonstrating – or at least attempting to demonstrate -- that there is only one, unique substance -- God (or Nature) -- and that all other things are (...) merely modes or states of God. Some of Spinoza’s readers understood these claims as committing him to the view that only God truly exists, and while this interpretation is not groundless, we will later see that this enticing and bold reading of Spinoza as an ‘acosmist’ comes at the expense of another audacious claim Spinoza advances, i.e., that God/Nature is absolutely and actually infinite. But before we reach this last conclusion, we have a long way to go. So, let me first provide an overview of our plan. In the first section of this paper we will examine Spinoza’s definitions of ‘substance’ and ‘God’ at the opening of his magnum opus, the Ethics. Following a preliminary clarification of these two terms and their relations to the other key terms defined at the beginning of the Ethics, we will briefly address the Aristotelian and Cartesian background of Spinoza’s discussion of substance. In the second section, we will study the properties of the fundamental binary relations pertaining to Spinoza’s substance: inherence, conception, and causation. The third section will be dedicated to a clarification of Spinoza’s claim that God, the unique substance, is absolutely infinite. This essential feature of Spinoza’s substance has been largely neglected in recent Anglo-American scholarship, a neglect which has brought about an unfortunate tendency to domesticate Spinoza’s metaphysics to more contemporary views. The fourth section will study the nature of Spinoza’s monism. It will discuss and criticize the interesting yet controversial views of the eminent Spinoza scholar, Martial Gueroult, about the plurality of substances in the beginning of the Ethics; address Spinoza’s claim in Letter 50 that, strictly speaking, it is improper to describe God as “one”; and, finally, evaluate Spinoza’s kind of monism against the distinction between existence and priority monism recently introduced into the contemporary philosophical literature. The fifth and final section will explain the nature, reality, and manner of existence of modes. We therefore have an ambitious plan; let’s get down to business. (shrink)

An academic division of labor resulted from the distinction between sex and gender. Sex remained a productive topic (excuse the pun) for biologists, who are interested in the genetic, developmental, and chemical pathways of male/female dimorphism. People in the social sciences and humanities, by contrast, made gender, not sex, the subject of their work. In gender studies, we learn about the ways that men and women “perform” their respective roles—people of male sex can perform as female gender, and vice (...) versa, by adopting modes of speech, dress, behavior, and even values. There is no talk of innate instincts or brain differences in gender studies. The French philosopher Michel Foucault set the agenda when he lamented, as early as 1976, that “the notion of sex made it possible to group together, in an artificial unity, anatomical elements, biological functions, conducts, sensations, and pleasures, and it enabled one to make use of this fictitious unity as a causal principle.” Following this approach, more-recent theorists like Anne Fausto-Sterling and Judith Butler have argued that even the biological categories of sex are just artificial inventions, designed to keep women and intersexed peoples down. Society, they suggest, decides which of us are males and which are females—pushing everyone into rigid binary categories. -/- There are two main arguments that are usually offered in defense of this controversial thesis that sexual dimorphism is political rather than ontological. One is based on a general critique of knowledge (an epistemological argument), and the other on a specific picture of reality (a metaphysical argument). I will offer counterarguments to both. (shrink)

This paper presents a sequent calculus and a dual domain semantics for a theory of definite descriptions in which these expressions are formalised in the context of complete sentences by a binary quantifier I. I forms a formula from two formulas. Ix[F, G] means ‘The F is G’. This approach has the advantage of incorporating scope distinctions directly into the notation. Cut elimination is proved for a system of classical positive free logic with I and it is shown to (...) be sound and complete for the semantics. The system has a number of novel features and is briefly compared to the usual approach of formalising ‘the F ’ by a term forming operator. It does not coincide with Hintikka’s and Lambert’s preferred theories, but the divergence is well-motivated and attractive. (shrink)

This essay examines the contributions of Greek philosopher and theologian Christos Yannaras to the question of the relationship between faith and reason. Although a comprehensive analysis of the entire body of his work is beyond the scope of this project, we will attempt to demonstrate through a selective survey, from the early `On the Absence and Unknowability of God' (1970) to the later `The Effable and the Ineffable' (1999), that he presents a convincing `third way' between rationalism and deism. We (...) will argue that Yannaras accomplishes this by methodologically deconstructing the presuppositions of rationalism and advocating for a more `empirically correct' approach grounded in apophaticism and social verification of knowledge. In doing so, he introduces a paradigm that not only challenges the binary opposition between faith and reason but also establishes a distinctive point of encounter between Orthodox Christian theology and contemporary philosophical discourse. (shrink)

intro to Part 1 - -/- Most people disliked mathematics when they were at school and they were absolutely correct to do so. This is because maths as we know it is severely incomplete. No matter how elaborated and complicated mathematical equations become, in today's world they're based on 1+1=2. This certainly conforms to the world our physical senses perceive and to the world scientific instruments detect. It has been of immeasurable value to all knowledge throughout history and has elevated (...) science to the lofty status it enjoys. Science is now striving towards Unification - where the subatomic realm, all matter, energy, forces, space and time will be seen as entangled parts of one universe. While 1+1=2 has been vital in getting humanity to this point, it's time to suppress our attachments to the past and realize that whereas 1+1 will always equal 2, it's also capable of equalling the 1 which represents unification. -/- intro to Part 2 -/- b) Division by zero is accepted, in Newtonian maths, to be impossible. But we can regard division by zero as division by nothing i.e. division that has no effect. In this case, 1 divided by 0 is 1. However, to a physicist there is no such thing as nothing (even empty space contains energy). What could the something called 0 actually be? It could be a binary digit. If we use the base of ten (for simplicity) and attach one and zero to it as exponents, we get 10^1 divided by 10^0 = 10^1. If we then cancel 10 from each factor in the expression, we get 1 divided by 0 = 1. At the start of the paragraph, this was referred to as division by nothing. Then 0 was called a binary digit and division by nothing became division by something. The 1 that the division equals is the unified field of space-time. Division by 0 is impossible in Newtonian maths because the result can be infinity. But the word “infinity” can, as the last section of this book shows, apply to the unified field of spacetime. So division by zero is not impossible because it results in the universe, which is obviously possible … a possibility that has always been, and always will be, realized. -/- intro to Part 3 -/- If quantum entanglement has existed in the entire universe forever, everything would be everywhere and everywhen. Space, time and 5th-dimensional hyperspace would not be restricted to certain parts of the Mobius Universe but would exist in every particle. Past, present and future would not exist as the distinct periods which everyday life assumes. All instants of all periods would exist eternally, permitting time travel to any point in the past and to any point in the future. Entanglement may be created by simply zipping along at close to the speed of light - “Quantum entanglement of moving bodies” by Robert M. Gingrich and Christoph Adami in Physical Review Letters 89, 270402 (issue of 30 December 2002) – which might be achieved, according to this book, by warping space so it’s either a fraction of the 90 degrees allowing instantaneous travel or almost at 270 degrees to space as we know it. (shrink)

Enterprise ontology for blockchain transactions includes datalogical, infological and essential levels. OntoClean analyzes ontologies based on formal, domain-independent properties (metaproperties), being the first attempt to formalize the notion of ontological analysis for computer systems. The notions are extracted from the philosophical ontology. In the semantic web, a property is a binary relationship, with a subtle distinction between ownership and class. Thus, a metaproperty is a property of a property or a class. The design of ontology can be done (...) when there is a basic understanding of the blockchain analysis. DOI: 10.13140/RG.2.2.23158.96327 . (shrink)

I apply the Buddhist and Chinese religious understandings of miracles as natural events to a contemporary Chinese American religious healer who employs Buddhist spells, qigong, and a range of Chinese medical arts to successfully treat conditions such as a golf-ball-sized cancerous tumor, a balance and memory disorder, and stroke-induced facial hemiparesis. In doing so, I build upon the work of anthropologists and historians to do comparative philosophy on the theoretical categories of and boundaries among miracles, the natural, the supernatural, healing, (...) and religion. I engage with Morton Klass’ point on the ethnocentric presuppositions of such categories; Susan Sered’s attention to the political nature of strict binaries as opposed to more flexible continuums; Robert Campany’s distinction between ontological and epistemological miracles, where the latter uncovers the hidden wonders in the natural world; and Helen Tilley’s polyglot therapeutics, which are marked by oscillation between, and the simultaneous holding of, contradictory or incommensurable ontologies. I argue that the category of natural miracle allows reimagining of the above categories and their neat delineations. (shrink)

In 1682, Leibniz published an essay containing his solution to the classic problem of squaring the circle: the alternating converg-ing series that now bears his name. Yet his attempts to disseminate his quadrature results began seven years earlier and included four distinct approaches: the conventional (journal article), the grand (treatise), the impostrous (pseudepigraphia), and the extravagant (medals). This paper examines Leibniz’s various attempts to disseminate his series formula. By examining oft-ignored writings, as well as unpublished manuscripts, this paper answers the (...) question of how one of the greatest mathematicians sought to introduce his first great geometrical discovery to the world. (shrink)

Throughout what is now the more than 50-year history of the computer many theories have been advanced regarding the contribution this machine would make to changes both in the structure of society and in ways of thinking. Like other theories regarding the future, these should also be taken with a pinch of salt. The history of the development of computer technology contains many predictions which have failed to come true and many applications that have not been foreseen. While we must (...) reserve judgment as to the question of the impact on the structure of society and human thought, there is no reason to wait for history when it comes to the question: what are the properties that could give the computer such far-reaching importance? The present book is intended as an answer to this question. The fact that this is a theoretical analysis is due to the nature of the subject. No other possibilities are available because such a description of the properties of the computer must be valid for any kind of application. An additional demand is that the description should be capable of providing an account of the properties which permit and limit these possible applications, just as it must make it possible to characterize a computer as distinct from a) other machines whether clocks, steam engines, thermostats, or mechanical and automatic calculating machines, b) other symbolic media whether printed, mechanical, or electronic and c) other symbolic languages whether ordinary languages, spoken or written or formal languages. This triple limitation, however, (with regard to other machines, symbolic media and symbolic languages) raises a theoretical question as it implies a meeting between concepts of mechanical-deterministic systems, which stem from mathematical physics, and concepts of symbolic systems which stem from the description of symbolic activities common to the humanities. The relationship between science and the humanities has traditionally been seen from a dualistic perspective, as a relationship between two clearly separate subject areas, each studied on its own set of premises and using its own methods. In the present case, however, this perspective cannot be maintained since there is both a common subject area and a new - and specific - kind of interaction between physical and symbolic processes. (shrink)

We want to know what gender is. But metaphysical approaches to this question solely have focused on the binary gender kinds men and women. By overlooking those who identify outside of the binary–the group I call ‘genderqueer’–we are left without tools for understanding these new and quickly growing gender identifications. This metaphysical gap in turn creates a conceptual lacuna that contributes to systematic misunderstanding of genderqueer persons. In this paper, I argue that to better understand genderqueer identities, we (...) must recognize a new type of gender kind: critical gender kinds, or kinds whose members collectively destabilize one or more pieces of dominant gender ideology. After developing a model of critical gender kinds, I suggest that genderqueer is best modeled as a critical gender kind that destabilizes the ‘binary axis’, or the piece of dominant gender ideology that says that the only possible genders are the binary, discrete, exclusive, and exhaustive kinds men and women. (shrink)

According to Act Consequentialism, an act is right if and only if its outcome is not worse than the outcome of any alternative to that act. This view, however, leads to deontic paradoxes if the alternatives to an act are all other acts that can be done in the situation. A typical response is to only apply this rightness criterion to maximally specific acts and to take the alternatives to a maximally specific act to be the other maximally specific acts (...) that can be done in the situation. (This view can then be supplanted by a separate account for the rightness of acts that are not maximally specific.) This paper defends a rival view, Binary Act Consequentialism, where, for any voluntary act, that act is right if and only if its outcome is not worse than the outcome of not doing that act. Binary Act Consequentialism, which dates back to Jeremy Bentham, has few supporters. A number of seemingly powerful objections have been considered fatal. In this paper, I rebut these objections and put forward a positive argument for the view. (shrink)

This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

The first collection of Leibniz's key writings on the binary system, newly translated, with many previously unpublished in any language. -/- The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today's digital computing. This book offers the first collection of Leibniz's most important writings on the binary system, all newly translated by the (...) authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. -/- As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz's original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz's mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz's development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age. (shrink)

Robin Dembroff (Real Talk about the Metaphysics of Gender, 2018) believes that ‘non-binary’ is a social kind. I have my doubts about this, but if it is a social kind, then it is a very special one. The membership conditions of the social kind ‘non-binary’ are only accessible to non-binary persons. They establish and police their own membership conditions (Dembroff 2018: 36f.): ‘Individuals are granted authority over their gender kind membership.’ So, if this is indeed a ‘social (...) kind’, then it is a highly unusual one. (shrink)

This paper presents rules in sequent calculus for a binary quantifier I to formalise definite descriptions: Ix[F, G] means ‘The F is G’. The rules are suitable to be added to a system of positive free logic. The paper extends the proof of a cut elimination theorem for this system by Indrzejczak by proving the cases for the rules of I. There are also brief comparisons of the present approach to the more common one that formalises definite descriptions with (...) a term forming operator. In the final section rules for I for negative free and classical logic are also mentioned. (shrink)

ABSTRACT It is fruitless to interpret Constant's modern liberty from the binary perspective of either the negative/positive freedom opposition or the liberal/republican freedom opposition. Both oppositional perspectives reduce the relationally complex nature of modern liberty to one or another component of the relation. Such reduction inevitably results in an incomplete and, therefore, inadequate interpretation of Constant's modern liberty. Consequently, either of these binary frames of interpretation obscures rather than illuminates the full nature of Constant's modern liberty. Boxed into (...) their irreconcilably opposed alternatives, both binary perspectives fail to appreciate that Constant's conception of modern liberty is a complex achievement irreducible without loss to either liberal negative liberty as non-interference or republican freedom as non-domination. Nor does combining liberal negative freedom and positive freedom (in the sense of ancient liberty), as Holmes well establishes, adequately tells the whole story of Constant's modern liberty. As a complex achievement, Constant's conception of modern liberty, I shall argue, blends negative freedom as associated with neo-Roman republican freedom as non-subjection to arbitrary power, negative freedom as non-interference, associated with the liberal tradition, positive freedom in the sense of inner self-development, and positive freedom as collective self-government or civic republican freedom. (shrink)

While we completely understood that a binary dwarf companion of the Sun has not been accepted by majority of astronomers, allow us to present some new arguments, along with our own serendipitous encounter with such a binary companion of the Sun. We hope that the present note will be found useful for further investigations, in relation to Planet Nine and such a dwarf star companion of the Sun (sometimes dubbed as Nemesis). Nonetheless, this article is not an exhaustive (...) review of such dwarf companion star theories. (shrink)

Society is a composite of interacting people and groups. These groups play a significant role in maintaining social status, establishing group identity and social identity, and enforcing norms. As such, groups are essential for understanding human behavior. Nevertheless, the study of groups in everyday group life yields many diverse and sometimes contradicting theories of group behavior, and researchers tend to agree that we have yet to understand the emergence of groups out of aggregates of individuals. The current paper aims to (...) shed new light on the convoluted interrelation between groups and individuals by focusing on individuals’ social identities and group categorization. It does so by exploring the dynamic nature of the self and its implications on identity and group membership, and introducing a framework recognizing the fluidity of groups and group categorization. Incorporating historical insights with contemporary theories, this paper argues for a flexible understanding of group dynamics that surpasses rigid in-group and out-group classifications, proposing instead that group affiliations exist along a continuum that reflects the ever-changing social landscape. (shrink)

Postgenderism is an extrapolation of ways that technology is eroding the biological, psychological and social role of gender, and an argument for why the erosion of binary gender will be liberatory. Postgenderists argue that gender is an arbitrary and unnecessary limitation on human potential, and foresee the elimination of involuntary biological and psychological gendering in the human species through the application of neurotechnology, biotechnology and reproductive technologies. Postgenderists contend that dyadic gender roles and sexual dimorphisms are generally to the (...) detriment of individuals and society. Assisted reproduction will make it possible for individuals of any sex to reproduce in any combinations they choose, with or without "mothers" and "fathers," and artificial wombs will make biological wombs unnecessary for reproduction. Greater biological fluidity and psychological androgyny will allow future persons to explore both masculine and feminine aspects of personality. Postgenderists do not call for the end of all gender traits, or universal androgyny, but rather that those traits become a matter of choice. Bodies and personalities in our postgender future will no longer be constrained and circumscribed by gendered traits, but enriched by their use in the palette of diverse self-expression. (shrink)

Duress is a defense in both law and morality. The bank teller who provides an armed robber with the bank vault combination, the innocent suspect who fabricates a story after hours of interrogation, the Good Samaritan who breaks into a private cabin in the woods to save a stranded hiker, and the father who drives at high speed to rush his injured child to the hospital—in deciding how to respond to agents like these, we should take into account that they (...) have acted under duress. In this paper, I offer a new duress defense, which I call “distinctive duress.” The distinctive-duress defense is neither ordinary justification nor ordinary excuse. Rather, it is a defense available to agents who act wrongly because they are appropriately insensitive to certain reasons. In the distinctive-duress cases, an agent’s normative sensitivities are rightly directed elsewhere, leading them awry. (shrink)

Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed that this (...) problem generalizes: there exists no local function from degrees of belief to binary beliefs that satisfies some minimal conditions of rationality and non-triviality. “Locality” means that the binary belief in each proposition depends only on the degree of belief in that proposition, not on the degrees of belief in others. One might think that the impossibility can be avoided by dropping the assumption that binary beliefs are a function of degrees of belief. We prove that, even if we drop the “functionality” restriction, there still exists no local relation between degrees of belief and binary beliefs that satisfies some minimal conditions. Thus functionality is not the source of the impossibility; its source is the condition of locality. If there is any non-trivial relation between degrees of belief and binary beliefs at all, it must be a “holistic” one. We explore several concrete forms this “holistic” relation could take. (shrink)

The strings of physics’ string theory are the binary digits of 1 and 0 used in computers and electronics. The digits are constantly switching between their representations of the “on” and “off” states. This switching is usually referred to as a flow or current. Currents in the two 2-dimensional programs called Mobius loops are connected into a four-dimensional figure-8 Klein bottle by the infinitely-long irrational and transcendental numbers. Such an infinite connection translates - via bosons being ultimately composed of (...) 1’s and 0’s depicting pi, e, √2 etc.; and fermions being given mass by bosons interacting in matter particles’ “wave packets” – into an infinite number of 8-Kleins. Each Klein 1) is one of the universe’s subuniverses (our own is 13.7 billion years old), 2) is made flexible through its binary digits which seamlessly, or almost seamlessly, join it to surrounding subuniverses and eliminate its central hole, and 3) possesses warped time and space because its foundation is the programmed curves in its mathematical Mobius loops (along with the twists they generate [p.7]). The universe functions according to the rules of fractal geometry. So the Mobius does not exist only at the cosmic level. It also manifests at the quantum scale, giving us photons and protons etc. Space and time are no longer separate, but are an indivisible space-time. So if space and the universe are infinite, how can time not be eternal? The past and the future must both extend forever (the idea of time being finite arises from confusion of our subuniverse with the one infinite universe). -/- BITS (Binary digiTS) only suggest existence of the divine if time is linear. Although a non-supernatural God is proposed via the inverse-square law coupled with eternal quantum entanglement, Einstein taught us that time is warped. Warped time is nonlinear, making it at least possible that the BITS composing space-time and all particles originate from the computer science of humans. -/- I suspect many readers will be content with reading this abstract. While there are more details, and mathematics, in the content; my natural style of writing is to avoid jargon and maths. I also tend to get philosophical. While I personally feel that there’s a lot of precious information in the content, I realize it won’t all be to everyone’s liking. Other subjects dealt with in this article are - the “Pioneer anomaly”, refinement of gravitational physics, dark energy and dark matter, quantum phenomena like mass and electric charge and quantum spin, Kepler’s laws of planetary motion, deflection of starlight by the sun, tides, falling bodies, Earth’s orbit, ancient Greek philosophers, Newton, Kepler, Galileo, Aristotle, Parmenides, Zeno of Elea, time travel into the past as well as the future, the elimination of distances in space, humanity’s construction of this universe we live in, The Law of Conservation of Matter-Energy, and support for the science-fiction-like idea of the electronic binary digits of 1 and 0 being the building blocks of our universe. (shrink)