Let the chain antichain principle (CAC) be the statement that each partial order on $\mathbb{N}$ possesses an infinite chain or an infinite antichain. Chong, Slaman, and Yang recently proved using forcing over nonstandard models of arithmetic that CAC is $\Pi^1_1$-conservative over $\text{RCA}_0+\Pi^0_1\text{-CP}$ and so in particular that CAC does not imply $\Sigma^0_2$-induction. We provide here a different purely syntactical and constructive proof of the statement that CAC (even together with WKL) does not imply $\Sigma^0_2$-induction. In (...) detail we show using a refinement of Howard's ordinal analysis of bar recursion that $\text{WKL}_0^\omega+\text{CAC}$ is $\Pi^0_2$-conservative over PRA and that one can extract primitive recursive realizers for such statements. Moreover, our proof is finitary in the sense of Hilbert's program. CAC implies that every sequence of $\mathbb{R}$ has a monotone subsequence. This Bolzano-Weierstraß}-like principle is commonly used in proofs. Our result makes it possible to extract primitive recursive terms from such proofs. We also discuss the Erdős-Moser principle, which—taken together with CAC—is equivalent to $\text{RT}^2_2$. (shrink)

We investigate the complexity of various combinatorial theorems about linear and partial orders, from the points of view of computability theory and reverse mathematics. We focus in particular on the principles ADS (Ascending or Descending Sequence), which states that every infinite linear order has either an infinite descending sequence or an infinite ascending sequence, and CAC (Chain-AntiChain), which states that every infinite partial order has either an infinite chain or an infinite antichain. It is well-known that (...) Ramsey's Theorem for pairs (RT₂²) splits into a stable version (SRT₂²) and a cohesive principle (COH). We show that the same is true of ADS and CAC, and that in their cases the stable versions are strictly weaker than the full ones (which is not known to be the case for RT₂² and SRT₂²). We also analyze the relationships between these principles and other systems and principles previously studied by reverse mathematics, such as WKL₀, DNR, and BΣ₂. We show, for instance, that WKL₀ is incomparable with all of the systems we study. We also prove computability-theoretic and conservation results for them. Among these results are a strengthening of the fact, proved by Cholak, Jockusch, and Slaman, that COH is Π₁¹-conservative over the base system RCA₀. We also prove that CAC does not imply DNR which, combined with a recent result of Hirschfeldt, Jockusch, Kjos-Hanssen, Lempp, and Slaman, shows that CAC does not imply SRT₂² (and so does not imply RT₂²). This answers a question of Cholak, Jockusch, and Slaman. Our proofs suggest that the essential distinction between ADS and CAC on the one hand and RT₂² on the other is that the colorings needed for our analysis are in some way transitive. We formalize this intuition as the notions of transitive and semitransitive colorings and show that the existence of homogeneous sets for such colorings is equivalent to ADS and CAC, respectively. We finish with several open questions. (shrink)

We analyze the axiomatic strength of the following theorem due to Rival and Sands [28] in the style of reverse mathematics. Every infinite partial order P of finite width contains an infinite chain C such that every element of P is either comparable with no element of C or with infinitely many elements of C. Our main results are the following. The Rival–Sands theorem for infinite partial orders of arbitrary finite width is equivalent to $\mathsf {I}\Sigma ^0_{2} + \mathsf (...) {ADS}$ over $\mathsf {RCA}_0$. For each fixed $k \geq 3$, the Rival–Sands theorem for infinite partial orders of width $\leq \!k$ is equivalent to $\mathsf {ADS}$ over $\mathsf {RCA}_0$. The Rival–Sands theorem for infinite partial orders that are decomposable into the union of two chains is equivalent to $\mathsf {SADS}$ over $\mathsf {RCA}_0$. Here $\mathsf {RCA}_0$ denotes the recursive comprehension axiomatic system, $\mathsf {I}\Sigma ^0_{2}$ denotes the $\Sigma ^0_2$ induction scheme, $\mathsf {ADS}$ denotes the ascending/descending sequence principle, and $\mathsf {SADS}$ denotes the stable ascending/descending sequence principle. To the best of our knowledge, these versions of the Rival–Sands theorem for partial orders are the first examples of theorems from the general mathematics literature whose strength is exactly characterized by $\mathsf {I}\Sigma ^0_{2} + \mathsf {ADS}$, by $\mathsf {ADS}$, and by $\mathsf {SADS}$. Furthermore, we give a new purely combinatorial result by extending the Rival–Sands theorem to infinite partial orders that do not have infinite antichains, and we show that this extension is equivalent to arithmetical comprehension over $\mathsf {RCA}_0$. (shrink)

For an integer \, Ramsey Choice\ is the weak choice principle “every infinite setxhas an infinite subset y such that\ has a choice function”, and \ is the weak choice principle “every infinite family of n-element sets has an infinite subfamily with a choice function”. In 1995, Montenegro showed that for \, \. However, the question of whether or not \ for \ is still open. In general, for distinct \, not even the status of “\” or “\” (...) is known. In this paper, we provide partial answers to the above open problems and among other results, we establish the following:1.For every integer \, if \ is true for all integers i with \, then \ is true for all integers i with \.2.If \ are any integers such that for some prime p we have \ and \, then in \: \ and \.3.For \, \\\ implies \, and \ implies neither \ nor \ in \.4.For every integer \, \ implies “every infinite linearly orderable family of k-element sets has a partial Kinna–Wagner selection function” and the latter implication is not reversible in \ ). In particular, \ strictly implies “every infinite linearly orderable family of 3-element sets has a partial choice function”.5.The Chain-AntiChain Principle implies neither \ nor \ in \, for every integer \. (shrink)

We show that every infinite computable partial ordering has either an infinite Δ 0 2 chain or an infinite Π 0 2 antichain. Our main result is that this cannot be improved: We construct an infinite computable partial ordering that has neither an infinite Δ 0 2 chain nor an infinite Δ 0 2 antichain.

We study the complexity of infinite chains and antichains in computable partial orderings. We show that there is a computable partial ordering which has an infinite chain but none that is ${\Sigma _{1}^{1}}$ or ${\Pi _{1}^{1}}$ , and also obtain the analogous result for antichains. On the other hand, we show that every computable partial ordering which has an infinite chain must have an infinite chain that is the difference of two ${\Pi _{1}^{1}}$ sets. Our main result (...) is that there is a computably axiomatizable theory K of partial orderings such that K has a computable model with arbitrarily long finite chains but no computable model with an infinite chain. We also prove the corresponding result for antichains. Finally, we prove that if a computable partial ordering ${\mathcal{A}}$ has the feature that for every ${\mathcal{B} \cong \mathcal{A}}$ , there is an infinite chain or antichain that is ${\Delta _{2}^{0}}$ relative to ${\mathcal{B}}$ , then we have uniform dichotomy: either for all copies ${\mathcal{B}}$ of ${\mathcal{A}}$ , there is an infinite chain that is ${\Delta _{2}^{0}}$ relative to ${\mathcal{B}}$ , or for all copies ${\mathcal{B}}$ of ${\mathcal{A}}$ , there is an infinite antichain that is ${\Delta _{2}^{0}}$ relative to ${\mathcal{B}}$. (shrink)

Let κ be a regular cardinal, and let B be a subalgebra of an interval algebra of size κ. The existence of a chain or an antichain of size κ in B is due to M. Rubin (see [7]). We show that if the density of B is countable, then the same conclusion holds without this assumption on κ. Next we also show that this is the best possible result by showing that it is consistent with 2 ℵ (...) 0 = ℵ ω 1 that there is a boolean algebra B of size ℵ ω 1 such that length(B) = ℵ ω 1 is not attained and the incomparability of B is less than ℵ ω 1 . Notice that B is a subalgebra of an interval algebra. For more on chains and antichains in boolean algebras see, e.g. [1] and [2]. (shrink)

We propose a new method for constructing Turing ideals satisfying principles of reverse mathematics below the Chain–Antichain (CAC) Principle. Using this method, we are able to prove several new separations in the presence of Weak König’s Lemma (WKL), including showing that CAC+WKL does not imply the thin set theorem for pairs, and that the principle “the product of well-quasi-orders is a well-quasi-order” is strictly between CAC and the Ascending/Descending Sequences principle, even in the presence of (...) WKL. (shrink)

Morgan et al. examine the notion of corporate citizenship and suggest that for it to be effective companies need to minimize harm and maximize benefits through its activities and, in so doing, take account of and be responsive to a full range of stakeholders. Specifically, they call for a “next generation” approach to corporate citizenship that embeds structures, systems, processes and policies into and across the company’s value chain. We take this notion of corporate citizenship and apply it to (...) Privacy by Design concepts in a value chain model. Privacy by Design is comprised of Seven Foundational Principles, and as we develop the Privacy by Design Value Chain, those principles are incorporated. First, we examine the primary activities in the value chain and consider each of these seven principles, and then we extend the analysis to the support activities. Finally, we consider privacy implications and the challenges to be faced in supply chain and federated environments. Designing privacy into the value chain model is a practical, business view of organizational and privacy issues. This puts privacy where it belongs in an organization—everywhere personal information exists. We conclude that further research is needed to consider the internal stakeholders’ communications among the various departments within an organization with the goal of better communications and shared values, and we believe the value chain approach helps to further this research agenda. Also, federated environments necessitate that organizations can “trust” their third parties providers. Research and case studies are needed regarding how these organizations can create value and competitive advantages by voluntarily providing their customers with privacy practice compliance reports. For the most part, the future is bright for the protection of personal information because solutions, not problems are being proposed, researched, developed and implemented. (shrink)

It is easy to prove in ZF− that a relation R satisfies the maximal condition if and only if its transitive hull R* does; equivalently: R is well-founded if and only if R* is. We will show in the following that, if the maximal condition is replaced by the chain condition, as is often the case in Algebra, the resulting statement is not provable in ZF− anymore . More precisely, we will prove that this statement is equivalent in ZF− (...) to the countable axiom of choice ACω. Moreover, applying this result we will prove that the axiom of dependent choices, restricted to partial orders as used in Algebra, already implies the general form for arbitrary relations as formulated first by Teichmüller and, independently, some time later by Bernays and Tarski. (shrink)

In this paper, we investigate a new model theoretical tree property (TP), called the antichain tree property (ATP). We develop combinatorial techniques for ATP. First, we show that ATP is always witnessed by a formula in a single free variable, and for formulas, not having ATP is closed under disjunction. Second, we show the equivalence of ATP and [Formula: see text]-ATP, and provide a criterion for theories to have not ATP (being NATP). Using these combinatorial observations, we find algebraic (...) examples of ATP and NATP, including pure groups, pure fields and valued fields. More precisely, we prove Mekler’s construction for groups, Chatzidakis’ style criterion for pseudo-algebraically closed (PAC) fields, and the AKE-style principle for valued fields preserving NATP. We give a construction of an antichain tree in the Skolem arithmetic and atomless Boolean algebras. (shrink)

The history of productivity of the κ-chain condition in partial orders, topological spaces, or Boolean algebras is surveyed, and its connection to the set-theoretic notion of a weakly compact cardinal is highlighted. Then, it is proved that for every regular cardinal κ > א1, the principle □ is equivalent to the existence of a certain strong coloring c : [κ]2 → κ for which the family of fibers T is a nonspecial κ-Aronszajn tree. The theorem follows from an (...) analysis of a new characteristic function for walks on ordinals, and implies in particular that if the κ-chain condition is productive for a given regular cardinal κ > א1, then κ is weakly compact in some inner model of ZFC. This provides a partial converse to the fact that if κ is a weakly compact cardinal, then the κ-chain condition is productive. (shrink)

We consider tautologies expressing equivalence‐chain properties in the spirit of Thapen and Krajíček, which are candidates for exponentially separating depth k and depth Frege proof systems. We formulate a special case where the initial member of the equivalence chain is fully specified and the equivalence‐chain implications are actually equivalences. This special case is shown to lead to polynomial size resolution refutations. Thus it cannot be used for separating depth k and depth propositional systems. We state some Håstad (...) switching lemma conditions that restrict the possible propositional proofs in more general situations. (shrink)

Plausible principles on truth seem to yield contradictory conclusions about paradoxical sentences such as the Strengthened Liar. Those who take the contextualist approach, such as Parsons and Burge, attempt to justify the seemingly contradictory conclusions by arguing that the natural reasoning that leads to them involves some kind of contextual shift that makes them compatible. This paper argues that one cannot take this approach to give a proper treatment of infinite descending chains of semantic attributions. It also examines a related (...) approach taken by Gaifman and argues that it has the same problem. (shrink)

Assuming Jensen's principle ◊+ we construct Souslin algebras all of whose maximal chains are pairwise isomorphic as total orders, thereby answering questions of Koppelberg and Todorčević.

A finite chain of valid arguments can never lead from truth to falsehood. Call this the concatenation principle, or CP. Some propose to reject CP in response to the sorites paradox. I offer...

Semantic categories in the world's languages often reflect a historical process of chaining: A name for one referent is extended to a conceptually related referent, and from there on to other referents, producing a chain of exemplars that all bear the same name. The beginning and end points of such a chain might in principle be rather dissimilar. There is also evidence supporting a contrasting picture: Languages tend to support efficient, informative communication, often through semantic categories in (...) which all exemplars are similar. Here, we explore this tension through computational analyses of existing cross-language naming and sorting data from the domain of household containers. We find formal evidence for historical semantic chaining, and evidence that systems of categories in this domain nonetheless support near-optimally efficient communication. Our results demonstrate that semantic chaining is compatible with efficient communication, and they suggest that chaining may be constrained by the functional need for efficient communication. (shrink)

Using only uncontentious principles from the logic of ground I construct an infinitely descending chain of ground without a lower bound. I then compare the construction to the constructions due to Dixon and Rabin and Rabern.

Hirschfeldt and Shore have introduced a notion of stability for infinite posets. We define an arguably more natural notion called weak stability, and we study the existence of infinite computable or low chains or antichains, and of infinite $\Pi _1^0 $ chains and antichains, in infinite computable stable and weakly stable posets. For example, we extend a result of Hirschfeldt and Shore to show that every infinite computable weakly stable poset contains either an infinite low chain or an infinite (...) computable antichain. Our hardest result is that there is an infinite computable weakly stable poset with no infinite $\Pi _1^0 $ chains or antichains. On the other hand, it is easily seen that every infinite computable stable poset contains an infinite computable chain or an infinite $\Pi _1^0 $ antichain. In Reverse Mathematics, we show that SCAC, the principle that every infinite stable poset contains an infinite chain or antichain, is equivalent over RCA₀ to WSCAC, the corresponding principle for weakly stable posets. (shrink)

Many cosmological arguments for the existence of a first cause or a necessary being rely on a premise which denies the possibility of an infinite regress ofsome particular sort. Adequate and satisfying support for this premise, however, is not always provided. In this paper I attempt to address this gap in the literature. After discussing the notion of a causal explanation (section I), I formulate three principles which govern any successful causal explanation (section II). I then introduce the notions of (...) a caused being, a causal network, and a causal chain, and argue that (roughly) an infinite causal chain cannot be explained merely by reference to the causal activities of the members of that chain (section III). In a sequel to the present paper, I employ this result to construct two closely related arguments for the existence of a necessary being. (shrink)

This paper addresses the question of what discourse ethics might have to contribute to increasingly urgent issues in intergenerational justice. Discourse ethics and deliberative democracy are often accused of neglecting the issue, or, even worse, of an inherently presentist bias that disregards future generations. The few forays into the topic mostly seek to extend to future people the “all affected principle” according to which only those norms are just to which all affected can rationally consent. However, this strategy conflicts (...) with core commitments of discursive ethics, as it renders agreement hypothetical and discursive participation virtual. I will attempt a supplementary route toward a connection between discourse ethics and intergenerational justice. Discourse ethics must be concerned, in what Habermas calls the symbolic reproduction of the lifeworld, with the emergence of rational minds capable of assessing reasons for proposed norms and policies, and such emergence is an intrinsically intergenerational affair. Symbolic reproduction links overlapping and non-overlapping generations in what has been elaborated as a chain-of-concern model, which I show to be linked to forms of indirect reciprocity among more than two parties. I conclude by discussing some consequences of this model for the all affected principle when viewed as specifically applied to future generations. (shrink)

This study delves into the significant ethical criteria in the context of global standards. It addresses the moral wrongdoings and adverse side effects associated with global value chains as discussed in the business ethics literature. The methodology involves theoretical application and synthesis. The study employs ethical principles from deontology, consequentialism, and political cosmopolitanism to establish normative criteria such as “injustice and harm to others” and “bad outcomes.” It further investigates how these criteria should influence consumers' decisions, actions, and responsibilities. These (...) criteria are then used to examine the moral wrongdoings and negative effects mentioned in global standards. The study explores how global standards implicitly express consumers' roles in governing global value chains. It scrutinizes consumers' actions and decisions by applying ethical frameworks to global standards. The study outlines consumers' individual and political responsibilities in achieving the goals of global standards. The research findings have implications for governments, consumers, and organizations in practicing shared responsibility. The aim of this research is to provide normative guidance for responsible actions. (shrink)

Berkeley's Siris is a chain of arguments which ends in God. First God is a metaphysical principle causally regulating the world or Macrocosm. But in the final paragraphs of Siris, God is treated in a theological perspective. This is to say that Berkeley introduces the idea of the Trinity and relates it to the rest of his chain argument. He says that Father, Son, and Spirit correspond to the philosophical notions of sun, light, and heat. I study (...) the final theological paragraphs of Siris and try to relate them to the preceding arguments of this book, especially the corpuscular theory of light. La Siris est une série d'arguments qui aboutit à Dieu. D'abord, Dieu est un principe métaphysique qui, par causalité, régit le monde, ou macrocosme. Mais les paragraphes terminaux de la Siris traitent de Dieu dans une perspective théologique : Berkeley introduit la notion de Trinité et la relie à ses raisonnements antérieurs. Il dit que le Père, le Fils et l'Esprit correspondent aux notions philosophiques de soleil, de lumière et de chaleur. J'étudie ces paragraphes théologiques et leur articulation avec ce qui, dans les développements antérieurs, concerne plus particulièrement la théorie corpusculaire de la lumière. (shrink)

La Siris est une série d’arguments qui aboutit à Dieu. D’abord, Dieu est un principe métaphysique qui, par causalité, régit le monde, ou macrocosme. Mais les paragraphes terminaux de la Siris traitent de Dieu dans une perspective théologique : Berkeley introduit la notion de Trinité et la relie à ses raisonnements antérieurs. Il dit que le Père, le Fils et l’Esprit correspondent aux notions philosophiques de soleil, de lumière et de chaleur. J’étudie ces paragraphes théologiques et leur articulation avec ce (...) qui, dans les développements antérieurs, concerne plus particulièrement la théorie corpusculaire de la lumière.Berkeley’s Siris is a chain of arguments which ends in God. First God is a metaphysical principle causally regulating the world or Macrocosm. But in the final paragraphs of Siris, God is treated in a theological perspective. This is to say that Berkeley introduces the idea of the Trinity and relates it to the rest of his chain argument. He says that Father, Son, and Spirit correspond to the philosophical notions of sun, light, and heat. I study the final theological paragraphs of Siris and try to relate them to the preceding arguments of this book, especially the corpuscular theory of light. (shrink)

Graham Priest (1994) has argued that the following paradoxes all have the same structure: Russell’s Paradox, Burali-Forti’s Paradox, Mirimanoff’s Paradox, König’s Paradox, Berry’s Paradox, Richard’s Paradox, the Liar and Liar Chain Paradoxes, the Knower and Knower Chain Paradoxes, and the Heterological Paradox. Their common structure is given by Russell’s Schema: there is a property φ and function δ such that..

In his classic study,The Great Chain of Being, Arthur Lovejoy delineated a complex set of concepts and assumptions which referred to the perfection of God and the fullness of creation. In attempting to distil the basic or ‘unit idea’ which constituted this pattern of thought, he focused on the assumption that ‘the universe is aplenum formarumin which the range of conceivable diversity ofkindsof living things is exhaustively exemplified’. He called this the ‘principle of plenitude’. Lovejoy argued that this (...) idea implied two others—continuity and gradation—and that together these reflected a pre-occupation with the ‘necessity of imperfection in all its possible degrees’, a concern which had pervaded Western thought since Plato and gave rise to the powerful ontology known as the ‘great chain of being’. (shrink)

A growing body of evidence in cognitive psychology and neuroscience suggests a deep interconnection between sensory-motor and language systems in the brain. Based on recent neurophysiological findings on the anatomo-functional organization of the fronto-parietal network, we present a computational model showing that language processing may have reused or co-developed organizing principles, functionality, and learning mechanisms typical of premotor circuit. The proposed model combines principles of Hebbian topological self-organization and prediction learning. Trained on sequences of either motor or linguistic units, the (...) network develops independent neuronal chains, formed by dedicated nodes encoding only context-specific stimuli. Moreover, neurons responding to the same stimulus or class of stimuli tend to cluster together to form topologically connected areas similar to those observed in the brain cortex. Simulations support a unitary explanatory framework reconciling neurophysiological motor data with established behavioral evidence on lexical acquisition, access, and recall. (shrink)

According to the theory of contextual integrity (CI), privacy norms prescribe information flows with reference to five parameters — sender, recipient, subject, information type, and transmission principle. Because privacy is grasped contextually (e.g., health, education, civic life, etc.), the values of these parameters range over contextually meaningful ontologies — of information types (or topics) and actors (subjects, senders, and recipients), in contextually defined capacities. As an alternative to predominant approaches to privacy, which were ineffective against novel information practices enabled (...) by IT, CI was able both to pinpoint sources of disruption and provide grounds for either accepting or rejecting them. Mounting challenges from a burgeoning array of networked, sensor-enabled devices (IoT) and data-ravenous machine learning systems, similar in form though magnified in scope, call for renewed attention to theory. This Article introduces the metaphor of a data (food) chain to capture the nature of these challenges. With motion up the chain, where data of higher order is inferred from lower-order data, the crucial question is whether privacy norms governing lower-order data are sufficient for the inferred higher-order data. While CI has a response to this question, a greater challenge comes from data primitives, such as digital impulses of mouse clicks, motion detectors, and bare GPS coordinates, because they appear to have no meaning. Absent a semantics, they escape CI’s privacy norms entirely. (shrink)

This research delves into a unique and vital aspect of addressing criticisms by some grammarians (al-nohaat) and interpreters against various continuous Quranic readings, focusing on the robustness of their transmission chains (isnad). These chains, often deemed weak by certain grammarians, are examined to understand how they reinforce the credibility of the readings, given the prevalent view that a solid transmission chain significantly minimizes errors in recitations. The data was collected through desk review of library sources, references, journal articles and (...) books. The data was confined to Qur’anic recitations and transmission of two scholar Ibn Aamir and Abu Jafar, who attracted great attention of the grammarians regarding their chain of transmission in their recitations. The data was analyzed in three stages, starting with data reduction, data display, and data verification. This was done to transform data into a meaningful discourse. Key conclusions of the study include the recognition of the Holy Quran, in its multiple readings, as a primary source for Arabic grammar (al-Nahw), with the two scholars using these readings as fundamental evidence for establishing grammatical rules. It also finds a broad scholarly consensus that the "ten recitations" of the Quran are authoritative and immune to criticism. The findings highlight the Quran's profound influence on Arabic language structures and consensus on the authority of recitations with roots in Prophet Muhammad's (PBUH) teaching. Pioneers like Abu Hayyan celebrated linguistic diversity over rigid rules, while incorporating narrator biographies, geographical mapping, and morphological analysis continues to enrich the textual tradition. Recommendations of the study include expanding research on transmission tracking science, boosting recitation studies through computational linguistics, emphasizing ceaseless inspiration manifesting Quran's inimitability, and acknowledging multiplicity under universal wisdom principles. (shrink)

There are two primary purposes of this manuscript: (i) to evaluate the western buyers’ ethical issue in the setting of eastern and western economies, and (ii) to assess the ethical values of the employers and the government in their business dealing in the background of Bangladesh. Analyzing the present minimum wage (MW) policy of the garment global supply chain industry in Bangladesh and the extent to which the policy functions are two of the other purposes of this study. This (...) study is the mixed approached of exploratory, descriptive, and phenomenological qualitative research. Each of the exploratory, descriptive, and phenomenological qualitative research goals has identified and described in a systematic way to get the best outcome of the purposes set in this manuscript. This study shows that rule utilitarian ethics are being followed by the Western buyers in their business dealings in Western territories. The philosophy of rule utilitarianism holds moral principles, and this principle tends to place greater emphasis on ethical interests rather than economic gains. Unfortunately, Western buyers do not follow the rule utilitarianism in their business dealing in eastern countries. Thus, this study shows western business leaders/buyers are not ethically correct. The act utilitarian ethics, on the other hand, are being followed by the eastern buyers in their business dealing. The philosophy of act utilitarianism holds immoral principles, and this principle tends to place greater emphasis on economic gains rather than ethical interest. This philosophy permit firm’s unethical behavior such as an exploitation of MW on the ground that this practice increases its incomes and maximizes the owner’s interest. The employers and buyers unethically gain profit, keeping the workers in a disadvantaged situation, which contradicts John Rawls’ Theory of Justice. Furthermore, the government has become an accomplice in exploiting and depriving the garment works of their entitlement and labor rights to appease the so-called investors. This study helps buyers, employers, government, and stakeholders to correct their unethical business deals. It also helps the policymakers to implement the MW policy for the betterment of garment global supply chain workers. (shrink)

The article presents a novel normative model of shared responsibility for remedying unjust labor conditions and protecting workers’ rights in global supply chains. While existing literature on labor governance in the globalized economy tends to focus on empirical and conceptual investigations, the article contributes to the emerging scholarship by proposing moral justifications for labor governance schemes that go beyond voluntary private regulations and include public enforcement mechanisms. Drawing on normative theories of justice and on empirical-legal research, our Labor Model of (...) Shared Responsibility introduces three main claims: First, that responsibility for protecting and promoting labor standards in global supply chains should be shared by all private and institutional actors involved (whether directly or indirectly) in the production and distribution processes. Second, we offer a normative model for allocating responsibility among the various actors, based on five principles: connectedness, contribution, benefit, capacity, and power. Last, we demonstrate how the normative model could be implemented through various national and international institutional mechanisms. (shrink)

Balancing environmental, social, and economic performance is today considered a key responsibility that firms have toward society. As a result, academics, practitioners, and political decision makers are increasingly paying attention to environmental management systems improving a full spectrum of environmental performance. In that regard, even if recent literature suggests that environmental management should be deployed through a cross-functional approach, extant literature mostly focuses on independent functional systems. This paper addresses this gap investigating how the deployment of environmental management in the (...) human resource function—adopting green human resource management practices—and the supply chain function—adopting green supply chain management practices—impact on environmental and financial performance. We draw from a multiple-respondent survey of human resource and supply chain managers in multiple industries in Italy. The study suggests that GHRM and GSCM impact on both environmental and financial performance and shows that GHRM and GSCM exert those impacts in a joint fashion. Indeed, our results show that GSCM plays a mediating role in the relationship between GHRM and performance. Overall, our results provide researchers and managers with relevant insights into the cross-functional deployment of the environmental values and principles across functions. (shrink)

The great chain of being is an ontological conception in which all beings, from inanimate things to God, are ranked on a scale according to their perfectness. This hierarchical scheme, though widely known in the history of ideas, was systematically addressed by Arthur Lovejoy in 1936. The great chain of being as formulated by Lovejoy is composed of three main principles, whose roots can be found in Plato and Aristotle’s philosophies. These principles are “the principle of plenitude”, (...) “the principle of gradation” and “the principle of continuity.” The first principle, the principle of plenitude, was pointed out in Plato’s philosophy and the latter two, the principle of gradation and the principle of continuity, were addressed in Aristotle’s philosophy. According to Lovejoy, these three principles were systematically addressed in Plotinus’s philosophy and became an essential part of Neo-Platonic cosmology. Platon explains the abundance of beings with reference to the absolute goodness of the God in his famous book Timaios. Accordingly, God has absolute goodness and this attribution has given rise to an abundance of beings as goodness requires the existence of things. The other two principles, the principle of gradation and the principle of continuity, were forwarded by Aristotle and through his works affected Western thought. While the principle of gradation refers to the ranking of beings in a chain based on the criteria of their perfection, the principle of continuity is the natural consequence of that ranking in that all beings share at least a minimum level of similarity. Plotinus synthesized and systematized those three principles as an expression of ranked beings specific to emanation theory and added three hypostasis -One, Nous, and Soul- in addition to the natural world addressed in Aristotle’s works. Therefore, we see that beings were ranked from inanimate things to God in Plotinus’s works. This concept of hierarchical order of beings, the great chain of being, affected many cultures and philosophical ideas from Classical Islamic philosophy to the Western tradition. In this article, we confine our subject to only Western thought, including Medieval Christian theology and philosophy, the Renaissance period, and the Age of Enlightenment as well as a peculiar implication and interpretation of the great chain of being specific to modern times. In every period we will deal with just one thinker and their ideas to demonstrate the effect of the great chain of being on those thinkers’ philosophies and systems. In this context, we examined how Thomas Aquinas used the great chain of being to justify some theological and philosophical matters and tried to show how he utilized the principle of continuity effectively to explain the relationship between matter and soul. Marcilio Ficino, a Neo-Platonist philosopher of the Renaissance period, also used the great chain of being to explain the hierarchical order of beings and their ontological relationship to the perfect being, which is God, placing them in a rising line according to their closeness to God. On the other hand, when we come to the Age of Enlightenment we see that the great chain of being continues to be apparent in some philosophical works. One example is John Locke’s famous book An Essay Concerning Human Understanding. Here Locke tries to make sense of the existence of many species of spirits with reference to the great chain of being, especially by using the principle of continuity. This attempt of justification shows us that the great chain of being, as an old philosophical and ontological concept, was still used even in the Enlightenment. Finally, it would be beneficial to address how the chain of being in question was presented and understood in modern times. Unlike the justification of some philosophical or theological subjects, in modern times the hierarchical structure of the great chain of being has been anachronistically read into the theory of evolution with reference to some medieval Muslim philosophers’ works. This approach, however, springs from the figural similarities between the great chain of being and the theory of evolution, although the contents of both theories are completely different. It would be accepted easily that similarities in figure do not necessitate similarities in content. In short, the great chain of being has been very effectively used in the history of philosophy to justify different subjects in different areas such as philosophy and theology. In this article, we address the usages of the chain in question and trace its effects specific to the Western tradition from the ancient period to modern times. (shrink)

Women constitute the majority of workers in global value chains (GVCs), yet few GVC scholars focus on the governance of gender. Based on an investigation (2013–2017) started after the Rana Plaza disaster in Bangladesh, this article presents “voice to the subordinate strata” as the first principle of feminist governance in the GVC. Findings reveal the matrix of power, which includes the International Labour Organization and the state that underpins the political economy of the Southern factory. This study provides a (...) transformative model of feminist governance as transnational justice. As the relational ethic that links justice in the workplace to the quality of a woman's life, feminist governance is also the moral economy of the GVC wherein the woman worker is valued as a citizen in the global economy. (shrink)

There is a growing body of research on the theory and practice of sustainable supply chain management (SSCM). However, relatively little research has been conducted on the extent to which corporations have integrated sustainability principles into the management of their supply chain and the evaluation of supplier performance. The purpose of this article is to explore the extent to which corporate sustainability principles are integrated into supply chain management (SCM) in corporations. Canada is used as a case (...) study in this article. The study included a content analysis of one hundred Canadian corporate sustainable development reports and in-depth interviews with 18 Canadian experts on SSCM. The article highlights the wide array of ways in which Canadian corporations address SSCM issues. Amongst other topics, issues associated with supply chain governance, standards for SSCM, collaboration with suppliers, performance measurement, and accountability within the supply chain are explored. The findings reveal that there are many challenges in integrating sustainability into SCM. These challenges shed light on possible future directions for research in SSCM. This article underlines the need for research that reflects the interconnected nature of the economic, environmental, and social dimensions of sustainability, particularly as it relates to measuring supplier performance on sustainability initiatives. (shrink)

The article presents a novel normative model of shared responsibility for remedying unjust labor conditions and protecting workers’ rights in global supply chains. While existing literature on labor governance in the globalized economy tends to focus on empirical and conceptual investigations, the article contributes to the emerging scholarship by proposing moral justifications for labor governance schemes that go beyond voluntary private regulations and include public enforcement mechanisms. Drawing on normative theories of justice and on empirical-legal research, our Labor Model of (...) Shared Responsibility introduces three main claims: First, that responsibility for protecting and promoting labor standards in global supply chains should be shared by all private and institutional actors involved (whether directly or indirectly) in the production and distribution processes. Second, we offer a normative model for allocating responsibility among the various actors, based on five principles: connectedness, contribution, benefit, capacity, and power. Last, we demonstrate how the normative model could be implemented through various national and international institutional mechanisms. (shrink)

This paper studies the information of big data in the digital publishing industry chain and adopts advanced algorithms for its fusion calculation. The basic theory of digital publishing ecological chain is dissected, the construction requirements, construction methods, and construction paths of digital publishing ecological chain are analysed, and feasible construction measures are proposed. It also defines the connotation of the fusion of knowledge services between publishing institutions and libraries in the digital era; then analyses the characteristics and (...) principles of the fusion of knowledge services between publishing institutions and libraries in the digital era; and finally sorts out the theoretical foundations such as synergy theory, information integration service theory, and game theory. Meanwhile, this paper also studies the flow of digital publishing resources and empirically analyses the eco-efficiency of digital publishing eco-chain by using metabolic network analysis, population analysis, and life cycle analysis, and it finds the eco-efficiency problems of the existing e-book eco-chain from its analysis. Finally, the imbalance in the digital publishing ecological chain and its hazards are analysed, and specific regulation and optimization measures are proposed. The research in this paper makes up for the deficiencies of related studies and can well solve the problems that exist in the previous and provide theoretical support for the healthy development of digital publishing enterprises. (shrink)

Over the last 20+ years, multinational corporations have been confronted with accusations of abuse of market power and unfair and unethical business conduct especially as it relates to their overseas operations and supply chain management. These accusations include, among others, worker exploitation in terms of unfairly low wages, excessive work hours, and unsafe work environment; pollution and contamination of air, ground water and land resources; and, undermining the ability of natural government to protect the well-being of their citizens. MNCs (...) have responded to these accusations by creating voluntary codes of conduct which commit them to specific standards for addressing these issues. These codes are created at both the industry-wide and the individual company level. Unfortunately, these codes have generated little credibility and public trust because their compliance claims cannot be independently verified, and they lack transparency and full public disclosure. In this article, we present a case study of the voluntary code of conduct by Mattel, Inc., the world’s largest toy company. The code, called the Global Manufacturing Principles, confronts the general criticism leveled against voluntary codes of conduct by creating detailed standards of compliance, independent external monitoring of the company’s compliance with its code of conduct, and making full, and uncensored public disclosure of the audit findings and company’s response in terms of remedial action. We present a detailed account of how Mattel’s voluntary code of conduct was created, implemented, and ultimately abandoned over 9 years. We provide an evaluative analysis of the company’s GMP compliance throughout its life span, which suggests a bell-shaped curve, where early top management commitments were met with pockets of resistance from operational groups, who were concerned about balancing GMP compliance efforts with traditional performance criteria. The early stage response from Mattel’s top management was quick and supported with the requisite resources. As a result, the compliance process accelerated, becoming increasingly more robust and effective. The success of code compliance and increased transparency in public disclosure energized field managers with a sense of professional satisfaction and publicly recognized accomplishments. The decline in GMP compliance was equally steep. When all the easily attainable targets had been reached at the company-operated plants, addressing vendor plants’ compliance presented a new set of challenges, which taxed corporate resources and management commitment. It would seem that value-based and ethics-oriented considerations, i.e., doing the right thing for the right reason, were no longer the driving force for Mattel’s management. Mattel did not see any economic benefit from its proactive stance, when competitors did not seem to suffer adverse consequences for not following suit. The final contributing factor to the code’s abandonment was a widely publicized series of product recalls which absorbed top management’s attention. (shrink)

There is a widely accepted ancient principle which holds that effects must occur as soon as possible after their causes. This paper takes this principle seriously and shows that if one believes there are causal chains then one is forced to accept the view that the temporal order is discrete or that some causally related events form a dense sequence.

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)

Despite its diminished importance amongst philosophers, the deductive-nomological framework is still important to contemporary behavioral scientists. Behavioral theorists operating within this framework must be careful to distinguish between nesting and chaining. Explanations are chained when the explanandum sentence of one explanation is one of the antecedent conditions of another. They are nested when one of the antecedent conditions or the explanandum sentence of one explanation is one of the covering laws of another. Confusion between nesting and chaining leads to explanation (...) nests that cannot be nomologically entrenched. They cannot, even in principle, be logically connected to laws arising from other sciences. This hazard should be particularly important for evolutionary psychologists to avoid, since many evolutionary psychologists tend to see themselves as dedicated to both nomological entrenchment and cognitive functionalist models. The hazard can be avoided if the intentional constructs of the behavioral sciences are construed not as ineffable and inaccessible antecedent conditions, but as complex, law-like patterns in behavior. (shrink)

The Illusion of the Body: Introducing the Body Alive Principle is the divinely inspired work of author David Almeida. This book opens the door to a new understanding in metaphysical thinking. The author draws on the philosophy of panpsychism to support his contention that an unseen ocean of consciousness exists all around us, and within our own bodies (i.e. cells, organs, and systems). The author refers to the Body Alive Principle as “panpsychic healing.” This text offers proven techniques (...) for communicating with the body intelligences the author terms the “little minds.” This process is intended to bring healing to those with both minor and severe medical conditions. Some of the most common medical complaints treated by the Body Alive Principle includes:1. Back or neck pain2. Allergies3. Arthritis/rheumatism4. Difficulty walking5. Headaches6. Lung problems7. Digestive8. Gynecological9. Anxiety disorders10. Heart conditionsThe author contends that even the most nefarious medical issues are curable or can be successfully managed using the Body Alive Principle. This is accomplished through the action of human “super mind”, which will at times consciously supervise the activities of the little minds. The Illusion of the Body instructs its Body Alive practitioners to approach their recovery using several time-tested techniques. Three widely recognized methods are employed in the application of the panpsychic healing philosophy. These modalities are creative visualization and empathetic listening followed by affirmative commands. Each technique is essential to the effectiveness of the Body Alive Principle.This book also discusses guilt and its deleterious effect on the body. True guilt has a beneficial quality when it prevents us from repeating an unacceptable behavior. Beyond this, guilt causes us to become ineffectual. The author holds that this antiquated form guilt needs to be purged, so that we may move on with our lives. A step-by-step process for liberating oneself from the chains of guilt is provided.There is also a section dedicated to trauma because of its potential to immobilize an affected person. Traumatic experiences suddenly unleashed on the body may produce waves of acute anxiety, which wreak havoc on its finely tuned systems. The author recounts his personal experience of negotiating the discharge of negative experiences with the entities supporting them.The Body Alive Principle promotes the importance of adhering to high moral standards in order to maintain homeostasis within ourselves. Integrity is of the outmost importance to the little minds. The author emphasizes the necessity for one to act within the domain of moral excellence. However, the author makes it clear that integrity is a process we work to perfect throughout our lives.The Illusion of the Body represents the author's many years of metaphysical study and experimentation. The author hopes to generate a greater awareness and appreciation of our precious bodily intelligences. The organic vessels that contain our consciousness are alive. They are almost countless in number. If we, the super mind can learn to communicate with the little minds in a positive way, we can ensure ourselves of a more comfortable journey. (shrink)

According to Ruth Chang the three standard positive value relations: “better than”, “worse than” and “equally good” do not fully exhaust the conceptual space for positive value relations. According to her, there is room for a fourth positive value relation, which she calls “parity”. Her argument for parity comes in three parts. First, she argues that there are items that are not related by the standard three value relations. Second, that these items are not incomparable, and third, that the phenomena (...) she has focused on are not due to the vagueness of the comparative predicates. This paper focuses on the second part of the argument and an objection is presented. By assuming the Small Unidimensional Difference Principle, which is a key premise for the second part of the argument, Chang’s argument could be accused of begging the question. More so, by assuming this principle, the space for incomparability gets severely limited. If these worries are justified, then Chang’s argument for parity as a fourth form of comparability is unsuccessful. (shrink)

The isolation principle rests on defining internal and external differentiation for each subset of at least two objects. Subsets with larger external than internal differentiation form isolated groups in the sense that they are internally cohesive and externally isolated. Objects that do not belong to any isolated group are termed solitary. The collection of all isolated groups and solitary objects forms a hierarchical (encaptic) structure. This ubiquitous characteristic of biological organization provides the motivation to identify universally applicable practical methods (...) for the detection of such structure, to distinguish primary types of structure, to quantify their distinctiveness, and to simplify interpretation of structural aspects. A method implementing the isolation principle (by generating all isolated groups and solitary objects) is proven to be specified by single-linkage clustering. Basically, the absence of structure can be stated if no isolated groups exist, the condition for which is provided. Structures that allow for classifications in the sense of complete partitioning into disjoint isolated groups are characterized, and measures of distinctiveness of classification are developed. Among other primary types of structure, chaining (complete nesting) and ties (isolated groups without internal structure) are considered in more detail. Some biological examples for the interpretation of structure resulting from application of the isolation principle are outlined. (shrink)

Over the last 20+ years, multinational corporations (MNCs) have been confronted with accusations of abuse of market power and unfair and unethical business conduct especially as it relates to their overseas operations and supply chain management. These accusations include, among others, worker exploitation in terms of unfairly low wages, excessive work hours, and unsafe work environment; pollution and contamination of air, ground water and land resources; and, undermining the ability of natural government to protect the well-being of their citizens. (...) MNCs have responded to these accusations by creating voluntary codes of conduct which commit them to specific standards for addressing these issues. These codes are created at both the industry-wide and the individual company level. Unfortunately, these codes have generated little credibility and public trust because their compliance claims cannot be independently verified, and they lack transparency and full public disclosure. In this article, we present a case study of the voluntary code of conduct by Mattel, Inc., the world's largest toy company. The code, called the Global Manufacturing Principles (GMP), confronts the general criticism leveled against voluntary codes of conduct by (a) creating detailed standards of compliance, (b) independent external monitoring of the company's compliance with its code of conduct, and (c) making full, and uncensored public disclosure of the audit findings and company's response in terms of remedial action. We present a detailed account of how Mattel's voluntary code of conduct was created, implemented, and ultimately abandoned over 9 years. We provide an evaluative analysis of the company's GMP compliance throughout its life span, which suggests a bellshaped curve, where early top management commitments were met with pockets of resistance from operational groups, who were concerned about balancing GMP compliance efforts with traditional performance criteria. The early stage response from Mattel's top management was quick and supported with the requisite resources. As a result, the compliance process accelerated, becoming increasingly more robust and effective. The success of code compliance and increased transparency in public disclosure energized field managers with a sense of professional satisfaction and publicly recognized accomplishments.The decline in GMP compliance was equally steep. When all the easily attainable targets had been reached at the company-operated plants, addressing vendor plants' compliance presented a new set of challenges, which taxed corporate resources and management commitment. It would seem that value-based and ethicsoriented considerations, i. e., doing the right thing for the right reason, were no longer the driving force for Mattel's management. Mattel did not see any economic benefit from its proactive stance, when competitors did not seem to suffer adverse consequences for not following suit. The final contributing factor to the code's abandonment was a widely publicized series of product recalls which absorbed top management's attention. (shrink)

A new variational method, the principle of least radix economy, is formulated. The mathematical and physical relevance of the radix economy, also called digit capacity, is established, showing how physical laws can be derived from this concept in a unified way. The principle reinterprets and generalizes the principle of least action yielding two classes of physical solutions: least action paths and quantum wavefunctions. A new physical foundation of the Hilbert space of quantum mechanics is then accomplished and (...) it is used to derive the Schrödinger and Dirac equations and the breaking of the commutativity of spacetime geometry. The formulation provides an explanation of how determinism and random statistical behavior coexist in spacetime and a framework is developed that allows dynamical processes to be formulated in terms of chains of digits. These methods lead to a new foundation for Lorentz transformations and special relativity. The Parker-Rhodes combinatorial hierarchy is encompassed within our approach and this leads to an estimate of the interaction strength of the electromagnetic and gravitational forces that agrees with the experimental values to an error of less than one thousandth. Finally, it is shown how the principle of least-radix economy naturally gives rise to Boltzmann’s principle of classical statistical thermodynamics. A new expression for a general nonequilibrium entropy is proposed satisfying the Second Law of Thermodynamics. (shrink)

The aim of this paper is to defend the ontological Principle of Sufficient Reason (PSR-O). I analyse various versions of this principle and various ways of justifying it. Then I attempt to challenge some counterexamples allegedly refuting a universal application of the PSR-O. There are standard and non-standard versions of the PSR-O. The PSR-Ostand can only be valid if there are no chains of contingent reasons and outcomes with first modules, i.e. all chains are actually infinite. However, there (...) are serious arguments against this possibility. The necessary condition of the PSR-Onon-stand is the existence of a necessary substance: that substance would be a direct reason of certain contingent states of affairs obtaining in its domain, and those states of affairs would then be indirect reasons for all other contingent states of affairs and things. There are two advantages of the PSR-Onon-stand: a nomological unity of the world and explanatory simplicity. (shrink)