Results for 'Wilhelm Schmid'

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  1. Wilhelm Schmid - Dar forma a nós mesmos: Sobre a filosofia da arte de viver em Nietzsche (translation).Alexandre Alves - 2007 - Verve 12:44-65.
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  2. Foundation of a Rigorous Implication.Wilhelm Ackermann & Fabio De Martin Polo - manuscript - Translated by Fabio De Martin Polo.
    This manuscript presents an English translation of the work titled “Begründung Einer Strengen Implikation” by the German logician and mathematician Wilhelm Ackermann (1896-1962), first published in June 1956.
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  3. Benardete Paradoxes, Causal Finitism, and the Unsatisfiable Pair Diagnosis.Joseph C. Schmid & Alex Malpass - forthcoming - Mind.
    We examine two competing solutions to Benardete paradoxes: causal finitism, according to which nothing can have infinitely many causes, and the unsatisfiable pair diagnosis (UPD), according to which such paradoxes are logically impossible and no metaphysical thesis need be adopted to avoid them. We argue that the UPD enjoys notable theoretical advantages over causal finitism. Causal finitists, however, have levelled two main objections to the UPD. First, they urge that the UPD requires positing a ‘mysterious force’ that prevents paradoxes from (...)
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  4. Benardete paradoxes, patchwork principles, and the infinite past.Joseph C. Schmid - 2024 - Synthese 203 (2):51.
    Benardete paradoxes involve a beginningless set each member of which satisfies some predicate just in case no earlier member satisfies it. Such paradoxes have been wielded on behalf of arguments for the impossibility of an infinite past. These arguments often deploy patchwork principles in support of their key linking premise. Here I argue that patchwork principles fail to justify this key premise.
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  5. The aloneness argument against classical theism.Joseph C. Schmid & R. T. Mullins - 2022 - Religious Studies 58 (2):1-19.
    We argue that there is a conflict among classical theism's commitments to divine simplicity, divine creative freedom, and omniscience. We start by defining key terms for the debate related to classical theism. Then we articulate a new argument, the Aloneness Argument, aiming to establish a conflict among these attributes. In broad outline, the argument proceeds as follows. Under classical theism, it's possible that God exists without anything apart from Him. Any knowledge God has in such a world would be wholly (...)
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  6. The End is Near: Grim Reapers and Endless Futures.Joseph C. Schmid - 2024 - Mind 133 (532).
    José Benardete developed a famous paradox involving a beginningless set of items each member of which satisfies some predicate just in case no earlier member satisfies it. The Grim Reaper version of this paradox has recently been employed in favour of various finitist metaphysical theses, ranging from temporal finitism to causal finitism to the discrete nature of time. Here, I examine a new challenge to these finitist arguments—namely, the challenge of implying that the future cannot be endless. In particular, I (...)
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  7. The fruitful death of modal collapse arguments.Joseph C. Schmid - 2021 - International Journal for Philosophy of Religion 91 (1):3-22.
    Modal collapse arguments are all the rage in certain philosophical circles as of late. The arguments purport to show that classical theism entails the absurdly fatalistic conclusion that everything exists necessarily. My first aim in this paper is bold: to put an end to action-based modal collapse arguments against classical theism. To accomplish this, I first articulate the ‘Simple Modal Collapse Argument’ and then characterize and defend Tomaszewski’s criticism thereof. Second, I critically examine Mullins’ new modal collapse argument formulated in (...)
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  8. Branching actualism and cosmological arguments.Joseph C. Schmid & Alex Malpass - 2023 - Philosophical Studies 180 (7):1951-1973.
    We draw out significant consequences of a relatively popular theory of metaphysical modality—branching actualism—for cosmological arguments for God’s existence. According to branching actualism, every possible world shares an initial history with the actual world and diverges only because causal powers (or dispositions, or some such) are differentially exercised. We argue that branching actualism undergirds successful responses to two recent cosmological arguments: the Grim Reaper Kalam argument and a modal argument from contingency. We also argue that branching actualism affords a response (...)
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  9. Saving Migrants’ Basic Human Rights from Sovereign Rule.Lukas Schmid - 2022 - American Political Science Review:1-14.
    States cannot legitimately enforce their borders against migrants if dominant conceptions of sovereignty inform enforcement because these conceptions undermine sufficient respect for migrants’ basic human rights. Instead, such conceptions lead states to assert total control over outsiders’ potential cross-border movements to support their in-group’s self-rule. Thus, although legitimacy requires states to prioritize universal respect for basic human rights, sovereign states today generally fail to do so when it comes to border enforcement. I contend that this enforcement could only be rendered (...)
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  10. Responding to unauthorized residence: on a dilemma between ‘firewalls’ and ‘regularizations’.Lukas Schmid - 2024 - Comparative Migration Studies 12 (22):1-18.
    Residence of unauthorized immigrants is a stable feature of the Global North’s liberal democracies. This article asks how liberal-democratic policymakers should respond to this phenomenon, assuming both that states have incontrovertible rights and interests to assert control over immigration and that unauthorized residence is nevertheless an entrenched fact. It argues that a set of liberal-democratic commitments gives policymakers strong reason to implement both so-called ‘firewall’ and ‘regularization’ policies, thereby protecting unauthorized immigrants’ basic needs and interests and officially incorporating many of (...)
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  11. A Step-by-Step Argument for Causal Finitism.Joseph C. Schmid - 2023 - Erkenntnis 88 (5):2097-2122.
    I defend a new argument for causal finitism, the view that nothing can have an infinite causal history. I begin by defending a number of plausible metaphysical principles, after which I explore a host of novel variants of the Littlewood-Ross and Thomson’s Lamp paradoxes that violate such principles. I argue that causal finitism is the best solution to the paradoxes.
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  12. Symmetry's revenge.Joseph C. Schmid - 2023 - Analysis 83 (4):723-731.
    James Henry Collin recently developed a new symmetry breaker favouring the ontological argument’s possibility premiss over that of the reverse ontological argument. The symmetry breaker amounts to an undercutting defeater for the reverse possibility premiss based on Kripkean cases of a posteriori necessity. I argue, however, that symmetry re-arises in two forms. First, I challenge the purported asymmetry in epistemic entitlements to the original and reverse possibility premisses. Second, relevantly similar Kripkean cases equally undercut the original possibility premiss.
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  13. Existential inertia and the Aristotelian proof.Joseph C. Schmid - 2020 - International Journal for Philosophy of Religion 89 (3):201-220.
    Edward Feser defends the ‘Aristotelian proof’ for the existence of God, which reasons that the only adequate explanation of the existence of change is in terms of an unchangeable, purely actual being. His argument, however, relies on the falsity of the Existential Inertia Thesis, according to which concrete objects tend to persist in existence without requiring an existential sustaining cause. In this article, I first characterize the dialectical context of Feser’s Aristotelian proof, paying special attention to EIT and its rival (...)
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  14. Symmetry Breakers for the Modal Ontological Argument.Joseph C. Schmid - manuscript
    The modal ontological argument (MOA) proceeds from God’s possible existence to God’s actual existence. A prominent objection to the MOA is that it suffers from a symmetry problem: an exactly parallel modal ontological argument can be given for God's non-existence. Several attempts have been made to break the symmetry between the arguments. This draft is a mostly comprehensive survey of those attempts. -/- The draft was initially written as a supplement to the 2024 Summer edition of the SEP entry on (...)
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  15. Simply Unsuccessful: The Neo-Platonic Proof of God’s Existence.Joseph Conrad Schmid - 2022 - European Journal for Philosophy of Religion 13 (4):129-156.
    Edward Feser defends the ‘Neo-Platonic proof ’ for the existence of the God of classical theism. After articulating the argument and a number of preliminaries, I first argue that premise three of Feser’s argument—the causal principle that every composite object requires a sustaining efficient cause to combine its parts—is both unjustified and dialectically ill-situated. I then argue that the Neo-Platonic proof fails to deliver the mindedness of the absolutely simple being and instead militates against its mindedness. Finally, I uncover two (...)
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  16. From Modal Collapse to Providential Collapse.Joseph C. Schmid - 2022 - Philosophia 50 (3):1413-1435.
    The modal collapse objection to classical theism has received significant attention among philosophers as of late. My aim in this paper is to advance this blossoming debate. First, I briefly survey the modal collapse literature and argue that classical theists avoid modal collapse if and only if they embrace an indeterministic link between God and his effects. Second, I argue that this indeterminism poses two challenges to classical theism. The first challenge is that it collapses God’s status as an intentional (...)
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  17. Stage One of the Aristotelian Proof: A Critical Appraisal.Joseph C. Schmid - 2021 - Sophia 60 (4):781-796.
    What explains change? Edward Feser argues in his ‘Aristotelian proof’ that the only adequate answer to these questions is ultimately in terms of an unchangeable, purely actual being. In this paper, I target the cogency of Feser’s reasoning to such an answer. In particular, I present novel paths of criticism—both undercutting and rebutting—against one of Feser’s central premises. I then argue that Feser’s inference that the unactualized actualizer lacks any potentialities contains a number of non-sequiturs.
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  18. The Role of A Priori Belief in the Design and Analysis of Fault-Tolerant Distributed Systems.Giorgio Cignarale, Ulrich Schmid, Tuomas Tahko & Roman Kuznets - 2023 - Minds and Machines 33 (2):293-319.
    The debate around the notions of a priori knowledge and a posteriori knowledge has proven crucial for the development of many fields in philosophy, such as metaphysics, epistemology, metametaphysics etc. We advocate that the recent debate on the two notions is also fruitful for man-made distributed computing systems and for the epistemic analysis thereof. Following a recently proposed modal and fallibilistic account of a priori knowledge, we elaborate the corresponding concept of a priori belief: We propose a rich taxonomy of (...)
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  19. Colonial injustice, legitimate authority, and immigration control.Lukas Schmid - 2023 - European Journal of Political Theory (1):4-26.
    There is lively debate on the question if states have legitimate authority to enforce the exclusion of (would-be) immigrants. Against common belief, I argue that even non- cosmopolitan liberals have strong reason to be sceptical of much contemporary border authority. To do so, I first establish that for liberals, broadly defined, a state can only hold legitimate authority over persons whose moral equality it is not engaged in undermining. I then reconstruct empirical cases from the sphere of international relations in (...)
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  20. Review of Treatise on Intuitionistic Type Theory by Johan Georg Granström.Eric Schmid - manuscript
    Johan Georg Granström’s Treatise on Intuitionistic Type Theory represents a landmark contribution to our understanding of the philosophical foundations of Per Martin-Löf’s intuitionistic type theory (ITT). The work is particularly noteworthy for its careful exposition of how ITT emerges as a sophisticated codification of Brouwerian intuitionism while simultaneously advancing a distinctly Kantian program in the philosophy of mathematics. This philosophical grounding, drawing heavily on both Kantian and Husserlian phenomenology, offers valuable insights into the nature of mathematical knowledge and computation. The (...)
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  21. Classical Theism, Arbitrary Creation, and Reason-Based Action.Joseph C. Schmid - 2022 - Sophia 61 (3):565-579.
    Surely God, as a perfectly rational being, created the universe for some _reason_. But is God’s creating the universe for a reason compatible with divine impassibility? That is the question I investigate in this article. The _prima facie_ tension between impassibility and God’s creating for a reason arises from impassibility’s commitment to God being uninfluenced by anything _ad extra_. If God is uninfluenced in this way, asks the detractor, how could he be moved to create anything at all? This _prima (...)
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  22. Freedom‐amelioration, transformative change, and emancipatory orders.Lukas Schmid - 2022 - European Journal of Philosophy 30 (4):1378-1392.
    Abstract“Freedom” is a fundamental political concept: contestations or endorsements of freedom-conceptions concern the fundamental normative orientation of sociopolitical orders. Focusing on “freedom,” this article argues that the project of bringing about emancipatory sociopolitical orders is both aided by efforts at engineering fundamental political concepts as well as required by such ameliorative ambitions. I first argue that since the absence of ideology is a constituent feature of emancipatory orders, any attempt at bringing about emancipation should leverage genealogical approaches in order to (...)
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  23. Is Legitimate Exclusion Incompatible with the Sovereign Right to Exclude?Lukas Schmid - 2024 - AJIL Unbound 118:219-223.
    Scholars of international law have been increasingly troubled by states’ vast powers and practices of migrant exclusion. There is no doubt that much of this uneasiness is catalyzed by a keen sense of the demands of a basic liberalism at the international legal order's core. Indeed, the increased construction of border walls,1 the continuously widespread use of deportation as a migration control tool,2 and new digital bordering technologies3 have all come under scrutiny precisely because of the challenges they pose to (...)
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  24. Pluralities, counterparts, and groups.Isaac Wilhelm - 2022 - Philosophical Studies 179 (7):2133-2153.
    I formulate a theory of groups based on pluralities and counterparts: roughly put, a group is a plurality of entities at a time. This theory comes with counterpart-theoretic semantics for modal and temporal sentences about groups. So this theory of groups is akin to the stage theory of material objects: both take the items they analyze to exist at a single time, and both use counterparts to satisfy certain conditions relating to the modal properties, temporal properties, and coincidence properties of (...)
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  25. Centering the Everett Interpretation.Isaac Wilhelm - 2022 - Philosophical Quarterly 72 (4):1019-1039.
    I propose an account of probability in the Everett interpretation of quantum mechanics. According to the account, probabilities are objective chances of centered propositions. As I show, the account solves a number of problems concerning the role of probability in the Everett interpretation. It also challenges an implicit assumption, concerning the aim and scope of fundamental physical theories, that is made throughout the philosophy of physics literature.
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  26. Intrinsicality and Entanglement.Isaac Wilhelm - 2022 - Mind 131 (521):35-58.
    I explore the relationship between a prominent analysis of intrinsic properties, due to Langton and Lewis, and the phenomenon of quantum entanglement. As I argue, the analysis faces a puzzle. The full analysis classifies certain properties of entangled particles as intrinsic. But when combined with an extremely plausible assumption about duplication, the main part of the analysis classifies those properties as non-intrinsic instead. I conclude that much of Lewis’s metaphysics is in trouble: Lewis based many of his metaphysical views—his thesis (...)
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  27. Tractability and laws.Isaac Wilhelm - 2022 - Synthese 200 (4):1-17.
    According to the Best System Account of lawhood, laws of nature are theorems of the deductive systems that best balance simplicity and strength. In this paper, I advocate a different account of lawhood which is related, in spirit, to the BSA: according to my account, laws are theorems of deductive systems that best balance simplicity, strength, and also calculational tractability. I discuss two problems that the BSA faces, and I show that my account solves them. I also use my account (...)
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  28. Categorical Cybernetics: A Framework for Computational Dialectics.Eric Schmid - manuscript
    At the intersection of category theory, cybernetics, and dialectical reasoning lies a profound framework for understanding computation and control. This paper examines how categorical structures—particularly adjoint functors and fixed points—illuminate the nature of feedback and control in both mathematical and philosophical contexts. Through an analysis of Lawvere’s fixed point theorem, Bayesian Open Games, and modern approaches to categorical cybernetics, we develop a unified perspective that bridges computation, control, and dialectical reasoning. We demonstrate the practical implications of this theoretical framework through (...)
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  29. Centering the Principal Principle.Isaac Wilhelm - 2020 - Philosophical Studies 178 (6):1897-1915.
    I show that centered propositions—also called de se propositions, and usually modeled as sets of centered worlds—pose a serious problem for various versions of Lewis's Principal Principle. The problem, put roughly, is that in scenarios like Elga's `Sleeping Beauty' case, those principles imply that rational agents ought to have obviously irrational credences. To solve the problem, I propose a centered version of the Principal Principle. My version allows centered propositions to be objectively chancy.
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  30. Typicality First.Isaac Wilhelm - forthcoming - Philosophical Quarterly.
    Instances of the law of large numbers are used to model many different physical systems. In this paper, I argue for a particular interpretation, of those instances of that law, which appeals to typicality. As I argue, the content of that law, when used to model physical systems, is that the probability of an event typically—rather than probably—approximates the frequency with which that event occurs.
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  31. Naturalism, classical theism, and first causes.Joseph C. Schmid - 2023 - Religious Studies 59:63-77.
    Enric F. Gel has recently argued that classical theism enjoys a significant advantage over Graham Oppy's naturalism. According to Gel, classical theism – unlike Oppy's naturalism – satisfactorily answers two questions: first, how many first causes are there, and second, why is it that number rather than another? In this article, I reply to Gel's argument for classical theism's advantage over Oppy's naturalism. I also draw out wider implications of my investigation for the gap problem and Christian doctrine along the (...)
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  32. The Typical Principle.Isaac Wilhelm - forthcoming - British Journal for the Philosophy of Science.
    If a proposition is typically true, given your evidence, then you should believe that proposition; or so I argue here. In particular, in this paper, I propose and defend a principle of rationality---call it the `Typical Principle'---which links rational belief to facts about what is typical. As I show, this principle avoids several problems that other, seemingly similar principles face. And as I show, in many cases, this principle implies the verdicts of the Principal Principle: so ultimately, the Typical Principle (...)
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  33. A Very Short Introduction to Topos Theory (adapted from Prof. Pettigrew’s notes).Eric Schmid - manuscript
    A quick introduction to category theory and topos theory, axiomatically. These notes are adapted from Prof. Pettigrew’s notes.
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  34. Bohmian Collapse.Isaac Wilhelm - 2024 - In Angelo Bassi, Sheldon Goldstein, Roderich Tumulka & Nino Zanghi, Physics and the Nature of Reality: Essays in Memory of Detlef Dürr. Springer. pp. 63-70.
    I present and explain the Bohmian account of collapse in quantum mechanics.
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  35. Explanatory circles.Isaac Wilhelm - 2024 - Studies in History and Philosophy of Science Part A 108 (C):84-92.
    Roughly put, explanatory circles — if any exist — would be propositions such that (i) each explains the next, and (ii) the last explains the first. In this paper, I give two arguments for the view that there are explanatory circles. The first argument appeals to general relativistic worlds in which time is circular. The second argument appeals to special science theories that describe feedback loops. In addition, I show that three standard arguments against explanatory circles are unsuccessful.
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  36. Worlds are Pluralities.Isaac Wilhelm - 2024 - Australasian Journal of Philosophy 102 (1):221-231.
    I propose an account of possible worlds. According to the account, possible worlds are pluralities of sentences in an extremely large language. This account avoids a problem, relating to the total number of possible worlds, that other accounts face. And it has several additional benefits.
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  37. Grim Reaper Paradoxes and Patchwork Principles: Severing the Case for Finitism.Troy Dana & Joseph C. Schmid - forthcoming - Journal of Philosophy.
    Benardete paradoxes involve infinite collections of Grim Reapers, assassins, demons, deafening peals, or even sentences. These paradoxes have recently been used in arguments for finitist metaphysical theses such as temporal finitism, causal finitism, and discrete views of time. Here we develop a new finite Benardete-like paradox. We then use this paradox to defend a companions in guilt argument that challenges recent applications of patchwork principles on behalf of the aforementioned finitist arguments. Finally, we develop another problem for those applications by (...)
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  38. Mathematics as Metaphysical and Constructive.Eric Schmid - 2024 - Rue Americaine 13.
    Andr ́e Weil viewed mathematics as deeply intertwined with metaphysics. In his essay ”From Metaphysics to Mathematics,” he illustrates how mathematical ideas often arise from vague, metaphysical analogies and reflections that guide researchers toward new theories. For instance, Weil discusses how analogies between different areas, such as number theory and algebraic functions, have led to significant breakthroughs. These metaphysical underpinnings provide a fertile ground for mathematical creativity, eventually transforming into rigorous mathematical structures. -/- Alexander Grothendieck’s work, particularly in ”R ́ecoltes (...)
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  39. Centering the Born Rule.Isaac Wilhelm - 2023 - Quantum Reports 5 (1):311-324.
    The centered Everett interpretation solves a problem that various approaches to quantum theory face. In this paper, I continue developing the theory underlying that solution. In particular, I defend the centered Everett interpretation against a few objections, and I provide additional motivation for some of its key features.
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  40. The Value of Naturalness.Isaac Wilhelm - 2025 - Erkenntnis 90 (2).
    It is often assumed that theorizing in terms of natural properties is more objectively valuable than theorizing in terms of non-natural properties. But this assumption faces an explanatory challenge: explain the greater objective value of theorizing in terms of natural properties. In this paper, I answer that challenge by proposing and exploring three different accounts of the objective value of naturalness. Two appeal to constitutive natures: it is part of the constitutive nature of explanation, or of objective value, that theorizing (...)
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  41. Mystical Rationality.Isaac Wilhelm - 2022 - In Helen De Cruz & Johan De Smedt, Avatar: The Last Airbender and Philosophy: Wisdom From Aang to Zuko. Wiley-Blackwell. pp. 88–97.
    In this chapter, we explore some ways in which reasoning based on mysticism can be rational, focusing on the episode “The Fortuneteller,” in which Aang, Katara, and Sokka save a village from a volcanic eruption. Throughout this episode, Sokka advocates a purely empirical approach to reasoning. The villagers, however, believe that no source of knowledge is more reliable than Aunt Wu, the local fortuneteller. At several points in the episode, Sokka claims that the villagers’ reliance on Aunt Wu is irrational. (...)
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  42. Structural Injustice and Socially Undocumented Oppression: Changing Tides in Refugee and Immigration Ethics. [REVIEW]Lukas Schmid - 2021 - Ethical Theory and Moral Practice 24 (4):1047-1052.
    In this review essay, I discuss two recent works in refugee and migration ethics, Serena Parekh’s No Refuge: Ethics and the Global Refugee Crisis and Amy Reed-Sandoval’s Socially Undocumented: Identity and Immigration Justice. I find that their methodological ambitions overlap significantly and that their arguments represent welcome and largely successful examinations of generally neglected issues. I also explain how both approaches could fruitfully learn from each other, and argue that they lay pioneering groundwork for future work to continue the analysis (...)
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  43. Debating responses to unauthorised immigrant residence.Rainer Bauböck, Julia Mourão Permoser, Martin Ruhs & Lukas Schmid (eds.) - 2024 - EUI Working Paper.
    This working paper combines Lukas Schmid’s article “Responding to unauthorized residence: on a dilemma between ‘firewalls’ and ‘regularisations’” with three critical responses as well as a rejoinder by the author. Schmid argues that a set of liberal-democratic commitments gives conscientious policymakers strong reason to implement both so-called ‘firewall’ and ‘regularisation’ policies, thereby protecting unauthorised immigrants’ basic needs and interests and officially incorporating many of them in society. He then explains that the background imperative of immigration control creates a (...)
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  44. Higher-Order Metaphysics, edited by Peter Fritz and Nicholas K Jones. [REVIEW]Isaac Wilhelm - forthcoming - Mind.
    I review the volume ``Higher-Order Metaphysics'' edited by Peter Fritz and Nicholas K. Jones.
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  45. Leibniz and the two Sophies: the philosophical correspondence.Gottfried Wilhelm Leibniz & Lloyd Strickland - 2011 - Toronto: Iter. Edited by Sophia, Sophie Charlotte & Lloyd Strickland.
    LEIBNIZ AND THE TWO SOPHIES is a critical edition of all of the philosophically important material from the correspondence between the philosopher Gottfried Wilhelm Leibniz (1646-1716) and his two royal patronesses, Electress Sophie of Hanover (1630-1714), and her daughter, Queen Sophie Charlotte of Prussia (1668-1705). In this correspondence, Leibniz expounds in a very accessible way his views on topics such as the nature and operation of the mind, innate knowledge, the afterlife, ethics, and human nature. The correspondence also contains (...)
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  46. Prospectus to a Homotopic Metatheory of Language.Eric Schmid - forthcoming - Chicago: Edition Erich Schmid.
    Due to the wide scope of (in particular linear) homotopy type theory (using quantum natural language processing), a metatheory can be applied not just to theorizing the metatheory of scientific progress, but ordinary language or any public language defined by sociality/social agents as the precondition for the realizability of (general) intelligence via an inferential network from which judgement can be made. How this metatheory of science generalizes to public language is through the recent advances of quantum natural language processing, but (...)
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  47. The Shorter Leibniz Texts: A Collection of New Translations.Gottfried Wilhelm Leibniz & Lloyd Strickland - 2006 - London: Continuum. Edited by Lloyd Strickland.
    This volume contains more than 60 original translations of papers written by the German philosopher Gottfried Wilhelm Leibniz (1646-1716). As well as contributing to Leibniz scholarship, it is intended to function as an introductory text for students.
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  48. Christopher Bertram, Do States Have the Right to Exclude Immigrants? [REVIEW]Lukas Schmid - 2021 - Journal of Moral Philosophy 18 (2):202-205.
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  49. truthmakers for 1st order sentences - a proposal.Friedrich Wilhelm Grafe - 2020 - Archive.Org.
    The purpose of this paper is to communicate - as a proposal - a general method of assigning a 'truthmaker' to any 1st order sentence in each of its models. The respective construct is derived from the standard model theoretic (recursive) satisfaction definition for 1st order languages and is a conservative extension thereof. The heuristics of the proposal (which has been somewhat idiosyncratic from the current point of view) and some more technical detail of the construction may be found in (...)
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  50. note on Sorites series.Friedrich Wilhelm Grafe - 2020 - Archive.Org.
    Vagueness does not necessarily come in with vague predicates, nor need it be expressed by them , but undoubtedly 'vague predicates' are traditionally in the focus of main stream discussions of vagueness. In her current modal logic presentation and discussion of the Sorites paradox Susanne Bobzien[1] lists among the properties of a Sorites series a rather weak modal tolerance principle governing the 'grey zone' containing the borderline cases of the Sorites series, which later proves crucial for her solution of the (...)
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