Results for 'Patrick Suppes'

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  1. Representation and Invariance of Scientific Structures.Patrick Suppes - 2002 - CSLI Publications (distributed by Chicago University Press).
    An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...)
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  2. Choice-Based Cardinal Utility. A Tribute to Patrick Suppes.Jean Baccelli & Philippe Mongin - 2016 - Journal of Economic Methodology 23 (3):268-288.
    We reexamine some of the classic problems connected with the use of cardinal utility functions in decision theory, and discuss Patrick Suppes's contributions to this field in light of a reinterpretation we propose for these problems. We analytically decompose the doctrine of ordinalism, which only accepts ordinal utility functions, and distinguish between several doctrines of cardinalism, depending on what components of ordinalism they specifically reject. We identify Suppes's doctrine with the major deviation from ordinalism that conceives of (...)
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  3. To Save the Semantic View: An Argument for Returning to Suppes' Interpretation.Thomas Cunningham - 2008
    Recent work on the semantic view of scientific theories is highly critical of the position. This paper identifies two common criticisms of the view, describes two popular alternatives for responding to them, and argues those responses do not suffice. Subsequently, it argues that retuning to Patrick Suppes’ interpretation of the position provides the conceptual resources for rehabilitating the semantic view.
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  4.  69
    Who Cares About Axiomatization? Representation, Invariance, and Formal Ontologies.R. Ferrario - 2006 - Epistemologia 29 (2):323-342.
    The philosophy of science of Patrick Suppes is centered on two important notions that are part of the title of his recent book (Suppes 2002): Representation and Invariance. Representation is important because when we embrace a theory we implicitly choose a way to represent the phenomenon we are studying. Invariance is important because, since invariants are the only things that are constant in a theory, in a way they give the “objective” meaning of that theory. Every scientific (...)
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  5. Some Connections Between Epistemic Logic and the Theory of Nonadditive Probability.Philippe Mongin - 1992 - In Paul Humphreys (ed.), Patrick Suppes: Scientific Philosopher. Dordrecht: Kluwer. pp. 135-171.
    This paper is concerned with representations of belief by means of nonadditive probabilities of the Dempster-Shafer (DS) type. After surveying some foundational issues and results in the D.S. theory, including Suppes's related contributions, the paper proceeds to analyze the connection of the D.S. theory with some of the work currently pursued in epistemic logic. A preliminary investigation of the modal logic of belief functions à la Shafer is made. There it is shown that the Alchourrron-Gärdenfors-Makinson (A.G.M.) logic of belief (...)
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  6. Randomness Is Unpredictability.Antony Eagle - 2005 - British Journal for the Philosophy of Science 56 (4):749-790.
    The concept of randomness has been unjustly neglected in recent philosophical literature, and when philosophers have thought about it, they have usually acquiesced in views about the concept that are fundamentally flawed. After indicating the ways in which these accounts are flawed, I propose that randomness is to be understood as a special case of the epistemic concept of the unpredictability of a process. This proposal arguably captures the intuitive desiderata for the concept of randomness; at least it should suggest (...)
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  7.  60
    Chomsky Vis-a-Vis the Methodology of Science.Thomas Johnston - manuscript
    (1) In the first part of this paper, I review Chomsky's meandering journey from the formalism/mentalism of Syntactic Structures, through several methodological positions, to the minimalist theory of his latest work. Infected with mentalism from first to last, each and every position vitiates Chomsky's repeated claims that his theories will provide useful guidance to later theories in such fields as cognitive psychology and cognitive neuroscience. With the guidance of his insights, he claims, psychologists and neuroscientists will be able to avoid (...)
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  8. Imprecise Probabilities in Quantum Mechanics.Stephan Hartmann - 2015 - In Colleen E. Crangle, Adolfo García de la Sienra & Helen E. Longino (eds.), Foundations and Methods from Mathematics to Neuroscience. Stanford: CSLI Publications. pp. 77-82.
    In his entry on "Quantum Logic and Probability Theory" in the Stanford Encyclopedia of Philosophy, Alexander Wilce (2012) writes that "it is uncontroversial (though remarkable) the formal apparatus quantum mechanics reduces neatly to a generalization of classical probability in which the role played by a Boolean algebra of events in the latter is taken over the 'quantum logic' of projection operators on a Hilbert space." For a long time, Patrick Suppes has opposed this view (see, for example, the (...)
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  9. The Open Future: Why Future Contingents Are All False.Patrick Todd - 2021 - Oxford: Oxford University Press.
    This book launches a sustained defense of a radical interpretation of the doctrine of the open future. Patrick Todd argues that all claims about undetermined aspects of the future are simply false.
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  10. Future Contingents and the Logic of Temporal Omniscience.Patrick Todd & Brian Rabern - 2021 - Noûs 55 (1):102-127.
    At least since Aristotle’s famous 'sea-battle' passages in On Interpretation 9, some substantial minority of philosophers has been attracted to the doctrine of the open future--the doctrine that future contingent statements are not true. But, prima facie, such views seem inconsistent with the following intuition: if something has happened, then (looking back) it was the case that it would happen. How can it be that, looking forwards, it isn’t true that there will be a sea battle, while also being true (...)
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  11. Foreknowledge Requires Determinism.Patrick Todd - forthcoming - Philosophy and Phenomenological Research.
    There is a longstanding argument that purports to show that divine foreknowledge is inconsistent with human freedom to do otherwise. Proponents of this argument, however, have for some time been met with the following reply: the argument posits what would have to be a mysterious non-causal constraint on freedom. In this paper, I argue that this objection is misguided – not because after all there can indeed be non-causal constraints on freedom (as in Pike, Fischer, and Hunt), but because the (...)
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  12. A Unified Account of the Moral Standing to Blame.Patrick Todd - 2019 - Noûs 53:347-374.
    Recently, philosophers have turned their attention to the question, not when a given agent is blameworthy for what she does, but when a further agent has the moral standing to blame her for what she does. Philosophers have proposed at least four conditions on having “moral standing”: -/- 1. One’s blame would not be “hypocritical”. 2. One is not oneself “involved in” the target agent’s wrongdoing. 3. One must be warranted in believing that the target is indeed blameworthy for the (...)
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  13. Future Contingents Are All False! On Behalf of a Russellian Open Future.Patrick Todd - 2016 - Mind 125 (499):775-798.
    There is a familiar debate between Russell and Strawson concerning bivalence and ‘the present King of France’. According to the Strawsonian view, ‘The present King of France is bald’ is neither true nor false, whereas, on the Russellian view, that proposition is simply false. In this paper, I develop what I take to be a crucial connection between this debate and a different domain where bivalence has been at stake: future contingents. On the familiar ‘Aristotelian’ view, future contingent propositions are (...)
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  14. Strawson, Moral Responsibility, and the "Order of Explanation": An Intervention.Patrick Todd - 2016 - Ethics 127 (1):208-240.
    P.F. Strawson’s (1962) “Freedom and Resentment” has provoked a wide range of responses, both positive and negative, and an equally wide range of interpretations. In particular, beginning with Gary Watson, some have seen Strawson as suggesting a point about the “order of explanation” concerning moral responsibility: it is not that it is appropriate to hold agents responsible because they are morally responsible, rather, it is ... well, something else. Such claims are often developed in different ways, but one thing remains (...)
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  15. The Problem of Future Contingents: Scoping Out a Solution.Patrick Todd - 2020 - Synthese 197 (11):5051-5072.
    Various philosophers have long since been attracted to the doctrine that future contingent propositions systematically fail to be true—what is sometimes called the doctrine of the open future. However, open futurists have always struggled to articulate how their view interacts with standard principles of classical logic—most notably, with the Law of Excluded Middle. For consider the following two claims: Trump will be impeached tomorrow; Trump will not be impeached tomorrow. According to the kind of open futurist at issue, both of (...)
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  16. Introduction.Patrick Todd & John Martin Fischer - 2015 - In John Martin Fischer & Patrick Todd (eds.), Freedom, Fatalism, and Foreknowledge. Oxford University Press. pp. 01-38.
    This Introduction has three sections, on "logical fatalism," "theological fatalism," and the problem of future contingents, respectively. In the first two sections, we focus on the crucial idea of "dependence" and the role it plays it fatalistic arguments. Arguably, the primary response to the problems of logical and theological fatalism invokes the claim that the relevant past truths or divine beliefs depend on what we do, and therefore needn't be held fixed when evaluating what we can do. We call the (...)
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  17. Manipulation Arguments and the Freedom to Do Otherwise.Patrick Todd - 2017 - Philosophy and Phenomenological Research 95 (2):395-407.
    I provide a manipulation-style argument against classical compatibilism—the claim that freedom to do otherwise is consistent with determinism. My question is simple: if Diana really gave Ernie free will, why isn't she worried that he won't use it precisely as she would like? Diana's non-nervousness, I argue, indicates Ernie's non-freedom. Arguably, the intuition that Ernie lacks freedom to do otherwise is stronger than the direct intuition that he is simply not responsible; this result highlights the importance of the denial of (...)
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  18. The Ethics of Algorithms: Mapping the Debate.Brent Mittelstadt, Patrick Allo, Mariarosaria Taddeo, Sandra Wachter & Luciano Floridi - 2016 - Big Data and Society 3 (2).
    In information societies, operations, decisions and choices previously left to humans are increasingly delegated to algorithms, which may advise, if not decide, about how data should be interpreted and what actions should be taken as a result. More and more often, algorithms mediate social processes, business transactions, governmental decisions, and how we perceive, understand, and interact among ourselves and with the environment. Gaps between the design and operation of algorithms and our understanding of their ethical implications can have severe consequences (...)
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  19. Diversity, Ability, and Expertise in Epistemic Communities.Patrick Grim, Daniel J. Singer, Aaron Bramson, Bennett Holman, Sean McGeehan & William J. Berger - 2019 - Philosophy of Science 86 (1):98-123.
    The Hong and Page ‘diversity trumps ability’ result has been used to argue for the more general claim that a diverse set of agents is epistemically superior to a comparable group of experts. Here we extend Hong and Page’s model to landscapes of different degrees of randomness and demonstrate the sensitivity of the ‘diversity trumps ability’ result. This analysis offers a more nuanced picture of how diversity, ability, and expertise may relate. Although models of this sort can indeed be suggestive (...)
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  20. Categorical Harmony and Path Induction.Patrick Walsh - 2017 - Review of Symbolic Logic 10 (2):301-321.
    This paper responds to recent work in the philosophy of Homotopy Type Theory by James Ladyman and Stuart Presnell. They consider one of the rules for identity, path induction, and justify it along ‘pre-mathematical’ lines. I give an alternate justification based on the philosophical framework of inferentialism. Accordingly, I construct a notion of harmony that allows the inferentialist to say when a connective or concept is meaning-bearing and this conception unifies most of the prominent conceptions of harmony through category theory. (...)
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  21. Geachianism.Patrick Todd - 2011 - Oxford Studies in Philosophy of Religion 3:222-251.
    The plane was going to crash, but it didn't. Johnny was going to bleed to death, but he didn't. Geach sees here a changing future. In this paper, I develop Geach's primary argument for the (almost universally rejected) thesis that the future is mutable (an argument from the nature of prevention), respond to the most serious objections such a view faces, and consider how Geach's view bears on traditional debates concerning divine foreknowledge and human freedom. As I hope to show, (...)
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  22. On Behalf of a Mutable Future.Patrick Todd - 2016 - Synthese 193 (7):2077-2095.
    Everyone agrees that we can’t change the past. But what about the future? Though the thought that we can change the future is familiar from popular discourse, it enjoys virtually no support from philosophers, contemporary or otherwise. In this paper, I argue that the thesis that the future is mutable has far more going for it than anyone has yet realized. The view, I hope to show, gains support from the nature of prevention, can provide a new way of responding (...)
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  23. Does God Have the Moral Standing to Blame?Patrick Todd - 2018 - Faith and Philosophy 35 (1):33-55.
    In this paper, I introduce a problem to the philosophy of religion – the problem of divine moral standing – and explain how this problem is distinct from (albeit related to) the more familiar problem of evil (with which it is often conflated). In short, the problem is this: in virtue of how God would be (or, on some given conception, is) “involved in” our actions, how is it that God has the moral standing to blame us for performing those (...)
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  24. The Paradox of Self-Blame.Patrick Todd & Brian Rabern - 2022 - American Philosophical Quarterly 59 (2):111–125.
    It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for a (...)
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  25. Paraconsistent Dynamics.Patrick Girard & Koji Tanaka - 2016 - Synthese 193 (1):1-14.
    It has been an open question whether or not we can define a belief revision operation that is distinct from simple belief expansion using paraconsistent logic. In this paper, we investigate the possibility of meeting the challenge of defining a belief revision operation using the resources made available by the study of dynamic epistemic logic in the presence of paraconsistent logic. We will show that it is possible to define dynamic operations of belief revision in a paraconsistent setting.
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  26. Neutralism and Conceptual Engineering.Patrick Greenough - 2019 - In Alexis Burgess, Herman Cappelen & David Plunkett (eds.), Conceptual Engineering and Conceptual Ethics. Oxford: Oxford University Press.
    Conceptual Engineering alleges that philosophical problems are best treated via revising or replacing our concepts (or words). The goal here is not to defend Conceptual Engineering but rather show that it can (and should) invoke Neutralism—the broad view that philosophical progress can take place when (and sometimes only when) a thoroughly neutral, non-specific theory, treatment, or methodology is adopted. A neutralist treatment of one form of skepticism is used as a case study and is compared with various non-neutral rivals. Along (...)
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  27.  32
    Organic Unity and the Heroic: Nietzsche's Aestheticization of Suffering.Patrick Hassan - 2022 - In Daniel Came (ed.), Nietzsche on Morality and the Affirmation of Life.
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  28. Truth-Relativism, Norm-Relativism, and Assertion.Patrick Greenough - 2011 - In Jessica Brown & Herman Cappelen (eds.), Assertion: New Philosophical Essays. Oxford University Press.
    The main goal in this paper is to outline and defend a form of Relativism, under which truth is absolute but assertibility is not. I dub such a view Norm-Relativism in contrast to the more familiar forms of Truth-Relativism. The key feature of this view is that just what norm of assertion, belief, and action is in play in some context is itself relative to a perspective. In slogan form: there is no fixed, single norm for assertion, belief, and action. (...)
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  29. Aggregation and Reductio.Patrick Wu - 2021 - Ethics 132 (2):508-525.
    Joe Horton argues that partial aggregation yields unacceptable verdicts in cases with risk and multiple decisions. I begin by showing that Horton’s challenge does not depend on risk, since exactly similar arguments apply to riskless cases. The underlying conflict Horton exposes is between partial aggregation and certain principles of diachronic choice. I then provide two arguments against these diachronic principles: they conflict with intuitions about parity, prerogatives, and cyclical preferences, and they rely on an odd assumption about diachronic choice. Finally, (...)
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  30. There is no set of all truths.Patrick Grim - 1984 - Analysis 44 (4):206.
    A Cantorian argument that there is no set of all truths. There is, for the same reason, no possible world as a maximal set of propositions. And omniscience is logically impossible.
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  31. Scientific Networks on Data Landscapes: Question Difficulty, Epistemic Success, and Convergence.Patrick Grim, Daniel J. Singer, Steven Fisher, Aaron Bramson, William J. Berger, Christopher Reade, Carissa Flocken & Adam Sales - 2013 - Episteme 10 (4):441-464.
    A scientific community can be modeled as a collection of epistemic agents attempting to answer questions, in part by communicating about their hypotheses and results. We can treat the pathways of scientific communication as a network. When we do, it becomes clear that the interaction between the structure of the network and the nature of the question under investigation affects epistemic desiderata, including accuracy and speed to community consensus. Here we build on previous work, both our own and others’, in (...)
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  32.  67
    The Physics and Metaphysics of Tychistic Bohmian Mechanics.Patrick Duerr & Alexander Ehmann - 2021 - Studies in History and Philosophy of Science Part A 90:168-183.
    The paper takes up Bell's “Everett theory” and develops it further. The resulting theory is about the system of all particles in the universe, each located in ordinary, 3-dimensional space. This many-particle system as a whole performs random jumps through 3N-dimensional configuration space – hence “Tychistic Bohmian Mechanics”. The distribution of its spontaneous localisations in configuration space is given by the Born Rule probability measure for the universal wavefunction. Contra Bell, the theory is argued to satisfy the minimal desiderata for (...)
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  33. Inertia, Optimism and Beauty.Patrick Hawley - 2013 - Noûs 47 (1):85-103.
    The best arguments for the 1/3 answer to the Sleeping Beauty problem all require that when Beauty awakes on Monday she should be uncertain what day it is. I argue that this claim should be rejected, thereby clearing the way to accept the 1/2 solution.
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  34. Scientific Theories as Bayesian Nets: Structure and Evidence Sensitivity.Patrick Grim, Frank Seidl, Calum McNamara, Hinton E. Rago, Isabell N. Astor, Caroline Diaso & Peter Ryner - 2022 - Philosophy of Science 89 (1):42-69.
    We model scientific theories as Bayesian networks. Nodes carry credences and function as abstract representations of propositions within the structure. Directed links carry conditional probabilities and represent connections between those propositions. Updating is Bayesian across the network as a whole. The impact of evidence at one point within a scientific theory can have a very different impact on the network than does evidence of the same strength at a different point. A Bayesian model allows us to envisage and analyze the (...)
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  35. The Basing Relation and the Impossibility of the Debasing Demon.Patrick Bondy & J. Adam Carter - 2018 - American Philosophical Quarterly 55 (3):203.
    Descartes’ demon is a deceiver: the demon makes things appear to you other than as they really are. However, as Descartes famously pointed out in the Second Meditation, not all knowledge is imperilled by this kind of deception. You still know you are a thinking thing. Perhaps, though, there is a more virulent demon in epistemic hell, one from which none of our knowledge is safe. Jonathan Schaffer thinks so. The “Debasing Demon” he imagines threatens knowledge not via the truth (...)
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  36. Artificial Moral Agents Are Infeasible with Foreseeable Technologies.Patrick Chisan Hew - 2014 - Ethics and Information Technology 16 (3):197-206.
    For an artificial agent to be morally praiseworthy, its rules for behaviour and the mechanisms for supplying those rules must not be supplied entirely by external humans. Such systems are a substantial departure from current technologies and theory, and are a low prospect. With foreseeable technologies, an artificial agent will carry zero responsibility for its behavior and humans will retain full responsibility.
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  37. Virtue and the Problem of Egoism in Schopenhauer's Moral Philosophy.Patrick Hassan - forthcoming - In Schopenhauer's Moral Philosophy. Routledge.
    It has previously been argued that Schopenhauer is a distinctive type of virtue ethicist (Hassan, 2019). The Aristotelian version of virtue ethics has traditionally been accused of being fundamentally egoistic insofar as the possession of virtues is beneficial to the possessor, and serve as the ultimate justification for obtaining them. Indeed, Schopenhauer himself makes a version of this complaint. In this chapter, I investigate whether Schopenhauer’s moral framework nevertheless suffers from this same objection of egoism in light of how he (...)
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  38. Robot Ethics 2. 0: New Challenges in Philosophy, Law, and Society.Patrick Lin, Keith Abney & Ryan Jenkins (eds.) - 2017 - Oxford University Press.
    As robots slip into more domains of human life-from the operating room to the bedroom-they take on our morally important tasks and decisions, as well as create new risks from psychological to physical. This book answers the urgent call to study their ethical, legal, and policy impacts.
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  39. Understanding the Political Defensive Privilege.Patrick Emerton & Toby Handfield - 2014 - In Cecile Fabre & Seth Lazar (eds.), The Morality of Defensive War. Oxford University Press. pp. 40-65.
    Nations are understood to have a right to go to war, not only in defense of individual rights, but in defense of their own political standing in a given territory. This paper argues that the political defensive privilege cannot be satisfactorily explained, either on liberal cosmopolitan grounds or on pluralistic grounds. In particular, it is argued that pluralistic accounts require giving implausibly strong weight to the value of political communities, overwhelming the standing of individuals. Liberal cosmopolitans, it is argued, underestimate (...)
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  40. Spatial Perception and the Sense of Touch.Patrick Haggard, Tony Cheng, Brianna Beck & Francesca Fardo - 2017 - In The Subject's Matter: Self-Consciousness and the Body. Cambridge, MA: MIT Press. pp. 97-114.
    It remains controversial whether touch is a truly spatial sense or not. Many philosophers suggest that, if touch is indeed spatial, it is only through its alliances with exploratory movement, and with proprioception. Here we develop the notion that a minimal yet important form of spatial perception may occur in purely passive touch. We do this by showing that the array of tactile receptive fields in the skin, and appropriately relayed to the cortex, may contain the same basic informational building (...)
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  41.  39
    Threshold Phenomena in Epistemic Networks.Patrick Grim - 2006 - In Proceedings, AAAI Fall Symposium on Complex Adaptive Systems and the Threshold Effect. AAAI Press.
    A small consortium of philosophers has begun work on the implications of epistemic networks (Zollman 2008 and forthcoming; Grim 2006, 2007; Weisberg and Muldoon forthcoming), building on theoretical work in economics, computer science, and engineering (Bala and Goyal 1998, Kleinberg 2001; Amaral et. al., 2004) and on some experimental work in social psychology (Mason, Jones, and Goldstone, 2008). This paper outlines core philosophical results and extends those results to the specific question of thresholds. Epistemic maximization of certain types does show (...)
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  42. A Tale of Two Nortons.Patrick Skeels - 2020 - Studies in History and Philosophy of Science Part A:28-35.
    This paper considers Norton’s Material Theory of Induction. The material theory aims inter alia to neutralize Hume’s Problem of Induction. The purpose of the paper is to evaluate the material theorys capacity to achieve this end. After pulling apart two versions of the theory, I argue that neither version satisfactorily neutralizes the problem.
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  43. A Type-Theoretical Approach for Ontologies: The Case of Roles.Patrick Barlatier & Richard Dapoigny - 2012 - Applied ontology 7 (3):311-356.
    In the domain of ontology design as well as in Knowledge Representation, modeling universals is a challenging problem.Most approaches that have addressed this problem rely on Description Logics (DLs) but many difficulties remain, due to under-constrained representation which reduces the inferences that can be drawn and further causes problems in expressiveness. In mathematical logic and program checking, type theories have proved to be appealing but, so far they have not been applied in the formalization of ontologies. To bridge this gap, (...)
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  44. How Simulations Fail.Patrick Grim, Robert Rosenberger, Adam Rosenfeld, Brian Anderson & Robb E. Eason - 2011 - Synthese 190 (12):2367-2390.
    ‘The problem with simulations is that they are doomed to succeed.’ So runs a common criticism of simulations—that they can be used to ‘prove’ anything and are thus of little or no scientific value. While this particular objection represents a minority view, especially among those who work with simulations in a scientific context, it raises a difficult question: what standards should we use to differentiate a simulation that fails from one that succeeds? In this paper we build on a structural (...)
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  45. On Sets and Worlds: A Reply to Menzel.Patrick Grim - 1986 - Analysis 46 (4):186 - 191.
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  46. Logic and Limits of Knowledge and Truth.Patrick Grim - 1988 - Noûs 22 (3):341-367.
    Though my ultimate concern is with issues in epistemology and metaphysics, let me phrase the central question I will pursue in terms evocative of philosophy of religion: What are the implications of our logic-in particular, of Cantor and G6del-for the possibility of omniscience?
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  47. What is a Contradiction?Patrick Grim - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The Law of Non-Contradiction : New Philosophical Essays. Oxford University Press. pp. 49--72.
    The Law of Non-Contradiction holds that both sides of a contradiction cannot be true. Dialetheism is the view that there are contradictions both sides of which are true. Crucial to the dispute, then, is the central notion of contradiction. My first step here is to work toward clarification of that simple and central notion: Just what is a contradiction?
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  48. The Replication Argument for Incompatibilism.Patrick Todd - 2019 - Erkenntnis 84 (6):1341-1359.
    In this paper, I articulate an argument for incompatibilism about moral responsibility and determinism. My argument comes in the form of an extended story, modeled loosely on Peter van Inwagen’s “rollback argument” scenario. I thus call it “the replication argument.” As I aim to bring out, though the argument is inspired by so-called “manipulation” and “original design” arguments, the argument is not a version of either such argument—and plausibly has advantages over both. The result, I believe, is a more convincing (...)
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  49. Szemerédi’s Theorem: An Exploration of Impurity, Explanation, and Content.Patrick J. Ryan - forthcoming - Review of Symbolic Logic:1-40.
    In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically impure (...)
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  50.  57
    Moral Disagreement and Arational Convergence.Patrick Hassan - 2019 - The Journal of Ethics 23 (2):145-161.
    Smith has argued that moral realism need not be threatened by apparent moral disagreement. One reason he gives is that moral debate has tended to elicit convergence in moral views. From here, he argues inductively that current disagreements will likely be resolved on the condition that each party is rational and fully informed. The best explanation for this phenomenon, Smith argues, is that there are mind-independent moral facts that humans are capable of knowing. In this paper, I seek to challenge (...)
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