Category theory has become central to certain aspects of theoretical physics. Bain has recently argued that this has significance for ontic structural realism. We argue against this claim. In so doing, we uncover two pervasive forms of category-theoretic generalization. We call these ‘generalization by duality’ and ‘generalization by categorifying physical processes’. We describe in detail how these arise, and explain their significance using detailed examples. We show that their significance is two-fold: the articulation of high-level physical concepts, and the generation (...) of new models. 1 Introduction2 Categories and Structuralism 2.1 Categories: abstract and concrete 2.2 Structuralism: simple and ontic3 Bain’s Two Strategies 3.1 A first strategy for defending Objectless 3.2 A second strategy for defending Objectless4 Two Forms of Categorical Generalization 4.1 Generalization by duality 4.2 Generalization by categorification 4.3 The role of category theory in physics5 Conclusion. (shrink)

Bellʼs 1964 theorem causes a severe problem for the notion that correlations require explanation, encapsulated in Reichenbachʼs principle of common cause. Despite being a hallmark of scientific thought, dropping the principle has been widely regarded as much less bitter medicine than the perceived alternative—dropping relativistic causality. Recently, however, some authors have proposed that modified forms of Reichenbachʼs principle could be maintained even with relativistic causality. Here we break down Reichenbachʼs principle into two independent assumptions—the principle of common cause proper and (...) factorization of probabilities. We show how Bellʼs theorem can be derived from these two assumptions plus relativistic causality and the law of total probability for actual events, and we review proposals to drop each of these assumptions in light of the theorem. In particular, we show that the non-commutative common causes of Hofer-Szabó and Vecsernyés fail to have an analogue of the notion that the common causes can explain the observed correlations. Moreover, we show that their definition can be satisfied trivially by any quantum product state for any quantum correlations. We also discuss how the conditional states approach of Leifer and Spekkens fares in this regard. (shrink)

A symmetric monoidal category naturally arises as the mathematical structure that organizes physical systems, processes, and composition thereof, both sequentially and in parallel. This structure admits a purely graphical calculus. This paper is concerned with the encoding of a fixed causal structure within a symmetric monoidal category: causal dependencies will correspond to topological connectedness in the graphical language. We show that correlations, either classical or quantum, force terminality of the tensor unit. We also show that well-definedness of the concept of (...) a global state forces the monoidal product to be only partially defined, which in turn results in a relativistic covariance theorem. Except for these assumptions, at no stage do we assume anything more than purely compositional symmetric-monoidal categorical structure. We cast these two structural results in terms of a mathematical entity, which we call a causal category . We provide methods of constructing causal categories, and we study the consequences of these methods for the general framework of categorical quantum mechanics. (shrink)

This book is a major contribution to the philosophical literature on the nature of the self, personal identity and survival. Its distinctive methodology is one that is phenomenologically descriptive rather than metaphysical and normative. On the basis of this approach Raymond Martin shows that the distinction between self and other is not nearly as fundamental a feature of our so-called egoistic values as has been traditionally thought. He explains how the belief in a self as a fixed, continuous point (...) of observation enters into our experience of ourselves and the world. He also reveals the explosive implications this thesis has for recent debates over personal identity and what matters in survival. This is the first book of analytic philosophy directly on the phenomenology of identity and survival. It builds bridges between analytic and phenomenological traditions and, thus, to open up a new field of investigation. (shrink)

This paper concludes a special feature of Sustainability Science that explores a broad range of social value theoretical traditions, such as religious studies, social psychology, indigenous knowledge, economics, sociology, and philosophy. We introduce a novel transdisciplinary conceptual framework that revolves around concepts of 'lenses' and 'tensions' to help navigate value diversity. First, we consider the notion of lenses: perspectives on value and valuation along diverse dimensions that describe what values focus on, how their sociality is envisioned, and what epistemic and (...) procedural assumptions are made. We characterise fourteen of such dimensions. This provides a foundation for exploration of seven areas of tension, between: (1) the values of individuals vs collectives; (2) values as discrete and held vs embedded and constructed; (3) value as static or changeable; (4) valuation as descriptive vs normative and transformative; (5) social vs relational values; (6) different rationalities and their relation to value integration; (7) degrees of acknowledgment of the role of power in navigating value conflicts. In doing so, we embrace the 'mess' of diversity, yet also provide a framework to organise this mess and support and encourage active transdisciplinary collaboration. We identify key research areas where such collaborations can be harnessed for sustainability transformation. Here it is crucial to understand how certain social value lenses are privileged over others and build capacity in decision-making for understanding and drawing on multiple value, epistemic and procedural lenses. (shrink)

This paper concludes a special feature of Sustainability Science that explores a broad range of social value theoretical traditions, such as religious studies, social psychology, indigenous knowledge, economics, sociology, and philosophy. We introduce a novel transdisciplinary conceptual framework that revolves around concepts of ‘lenses’ and ‘tensions’ to help navigate value diversity. First, we consider the notion of lenses: perspectives on value and valuation along diverse dimensions that describe what values focus on, how their sociality is envisioned, and what epistemic and (...) procedural assumptions are made. We characterise fourteen of such dimensions. This provides a foundation for exploration of seven areas of tension, between: (1) the values of individuals vs collectives; (2) values as discrete and held vs embedded and constructed; (3) value as static or changeable; (4) valuation as descriptive vs normative and transformative; (5) social vs relational values; (6) different rationalities and their relation to value integration; (7) degrees of acknowledgment of the role of power in navigating value conflicts. In doing so, we embrace the ‘mess’ of diversity, yet also provide a framework to organise this mess and support and encourage active transdisciplinary collaboration. We identify key research areas where such collaborations can be harnessed for sustainability transformation. Here it is crucial to understand how certain social value lenses are privileged over others and build capacity in decision-making for understanding and drawing on multiple value, epistemic and procedural lenses. (shrink)

The Biological Foundations of Belief is a groundbreaking study of the relationship between biology and religion. Wesley Raymond Wells argues that human belief systems are deeply rooted in our biological makeup, and that understanding this connection can shed new light on the origins and evolution of religion. This book is a fascinating exploration of the intersection between science and spirituality. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization (...) as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.

This essay first develops St. Thomas Aquinas’s appropriation of Aristotle's hylomorphic account of human nature by considering Aquinas’s commentary on the De anima and Aquinas's own mature account of human nature in the Summa Theologiae. It is then made clear how a series of problems arises for Aquinas’s position based on whether we emphasize body/soul unity or the special status of the intellectual soul, taking as the central difficulty the status of the disembodied soul between death and resurrection. In conclusion (...) a radical solution to this difficulty is proposed based on a reconsideration of the material element of human nature. (shrink)

The concept of law lies at the heart of our social and political life, shaping the character of our community and underlying issues from racism and abortion to human rights and international war. The revised edition of this Very Short Introduction examines the central questions about law's relation to justice, morality, and democracy.

This paper argues that God is not logically able to condemn a person to Hell by considering what is entailed by accepting the best argument to the contrary, the so-called free will defense expounded by Christian apologists Alvin Plantinga and William Lane Craig. It argues that the free will defense is logically fallacious, involves a philosophical fiction, and is based on a fraudulent account of Scripture, concluding that the problem of postmortem evil puts would-be believers in a logical and moral (...) straightjacket from which there is no escape without heresy or contradiction. -/- 1. Imagining an Afterlife in Hell -- 2. Essential Doctrines of Christianity -- 3. The Logical Puzzle Involved -- 4. Plumbing the Depths of Christian Doctrine a Little - 4.1 Christianity’s Commitment to Theism - 4.1.1 God’s Omnipotence - 4.1.2 God’s Omniscience - 4.1.3 God’s Omnibenevolence (Moral Perfection) - 4.2 The Doctrines of Salvation and Damnation - 4.2.1 Salvation and Heaven - 4.2.2 Damnation and Hell - 4.2.3 The Inhabitants of Hell – 5. The Issue of Inconsistency Again - 5.1 The Missing Concept of Responsibility - 5.2 God’s Responsibility for Evil in General - 5.3 The Charge of Inconsistency Reinforced -- 6. The Christian Cross: A Logical Straightjacket -- 7. The Art of Apologetics -- 8. Craig’s Apologetics - 8.1 Craig’s Purported Proof of Consistency - 8.1.1 A Problem with the Entailment Condition - 8.1.2 A Problem with the Consistency Condition - 8.1.3 Is Craig’s Optimal World the Best God Could Create? - 8.1.4 A Heavenly Refutation - 8.1.5 “Heaven Isn’t a Possible World” - 8.1.6 “Heaven Isn’t a Feasible World” -- 9. Free Will, Foreknowledge, and Predestination - 9.1 Compatibilist versus Incompatibilist Meanings of “Free Will” - 9.2 Free Will, Predestination, and Being Sent to Hell - 9.3 Consequences of Being Predestined to Hell -- 10. Summary. (shrink)

This essay develops the foundations of a Thomistic ethics of inquiry by proposing an account of 'consilium' (or practical deliberation) that is essentially social. This account in turn has three important implications. First, the moral knowledge available to us prior to the workings of 'consilium' is too vague to ground anything approaching substantive moral conclusions (the content of 'synderesis' is significantly limited). Second, if the apprehension of all but the very highest moral truths depends on a series of deliberative relationships, (...) the nature and development of those relationships must be a central task of Thomistic ethics. Third, the workings of 'consilium' itself, pointing us toward a particular kind of moral community, can ground the nature and content of Thomistic ethics as an ethics of inquiry. (shrink)

I Eat, Therefore I Think: Food and Philosophy radically rethinks the nature of key philosophical concerns by approaching the subject via a crucial but often overlooked prism: the stomach. Combining stomach and mind, I Eat, Therefore I Think argues, allows us to chart new pathways for dealing with ethics, aesthetics, religion, social/political questions, and our general understanding of reality and the place of humans in it.

La réflexion contemporaine sur l'art revêt fréquemment, comme la réflexion sur la morale ou sur la connaissance, un caractère sceptique : les valeurs artistiques seraient des illusions collectives engendrées soit par les forces sociales anonymes qu'évoquent les traditions marxiste et durkheimienne, soit par la puissance des "mondes de l'art". Ces théories conventionnalistes ont l'intérêt de souligner les faiblesses des théories platonisantes des valeurs esthétiques, mais elles sont peu crédibles. On propose ici de voir dans les valeurs artistiques l'effet de systèmes (...) de raisons fortes : c'est pour des raisons objectives que les oeuvres artistiques sont qualifiées de grandes ou de faibles. Il faut toutefois prêter attention au fait que ces raisons peuvent, dans le domaine du "Beau" comme dans les autres, ne pas apparaître immédiatement. Leur mise en évidence est au contraire le plus souvent le résultat d'un procès social qui n'est pas sans rappeler les procès judiciaires. (shrink)

Human bodies have a totally different mode of existence from those collections of mental properties (intelligence, will power, consciousness, etc.) that we call minds. They belong to the ontological category of physical substances or entities, whereas mental properties belong to the ontological category of properties or attributes, and as such can exist only so long as their physical bearers exist. Mental properties “emerge” (in a sense that makes emergence ubiquitous throughout the natural world) when the constituent parts of a biological (...) organism—especially its brain—are configured in certain sorts of ways. A view of reality that is both conceptually coherent and scientifically comprehensive makes the very idea of surviving one’s bodily death literally absurd. -/- 1. The Cheshire Cat Fallacy: “A Grin Without a Cat” -- 2. Two Main Arguments for Substance Dualism - 2.1 An Appeal to the Logic of Identity and Difference - 2.2 An Appeal to the Noncogitative Nature of Matter -- 3. A Host of Problems for Substance Dualism - 3.1 The Inexplicability of Mind-Brain Dependence - 3.2 The Inexplicability of Mental Causation - 3.3 The Violation of Scientific Laws - 3.4 Minds as Miracle-Workers - 3.5 Problems about Our Embryological and Developmental Histories - 3.6 Problems about our Evolutionary Histories - 3.7 Which Stage of the Soul or Mind Survives? - 3.8 Where are our Disembodied Souls Supposed to Survive? -- 4. The Argument from Leibniz’s Law Presupposes a Category Misallocation - 4.1 The Fallacy of Reification - 4.2 Resisting the Reifying Lure of Language - 4.3 Dualistic Consequences of Reifying Mentalistic Terms - 4.4 Allocation to Ontological Categories - 4.5 Locke’s Partial Solution to the Category Misallocation - 4.6 Ryle on Category Mistakes and “the Ghost in the Machine” - 4.7 Ryle’s Important Insight: To Have a Mind is to have a Set of Mental Properties - 4.8 Interim Summary -- 5. The Emergence of “Minds” from Incogitative Matter - 5.1 Locke’s A Priori Argument - 5.2 Locke’s Argument Refuted by Counterexamples - 5.3 The Concept of Emergence Defined - 5.4 Rival Concepts of Emergence - 5.5 The Ubiquitousness of Emergent Properties - 5.6 The Metaphysics of Emergent Materialism - 5.6.1 Substance Monism - 5.6.2 The Doctrine of Property Dualism is Misconceived - 5.6.3 Emergent Properties of Different Kinds - 5.6.4 The “Hierarchy” of Sciences - 5.6.5 The Broad Spectrum of “Mental” Properties -- 6. The Metaphysical Impossibility of Survival - 6.1 Mind-Brain Dependence - 6.2 The Issue of Mental Causation - 6.2.1 The Bogeyman of Epiphenomenalism - 6.3 The Violation of Scientific Laws - 6.4 Minds as Miracle-Workers - 6.5 Our Embryological and Developmental Histories - 6.6 Our Evolutionary Histories -- 7. Conclusion. (shrink)