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Sam Roberts
Universität Konstanz
  1. Pluralities as Nothing Over and Above.Sam Roberts - 2022 - Journal of Philosophy 119 (8):405-424.
    This paper develops an account of pluralities based on the following simple claim: some things are nothing over and above the individual things they comprise. For some, this may seem like a mysterious statement, perhaps even meaningless; for others, like a truism, trivial and inferentially inert. I show that neither reaction is correct: the claim is both tractable and has important consequences for a number of debates in philosophy.
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  2.  90
    Modal structuralism and reflection.Sam Roberts - 2019 - Review of Symbolic Logic 12 (4):823-860.
    Modal structuralism promises an interpretation of set theory that avoids commitment to abstracta. This article investigates its underlying assumptions. In the first part, I start by highlighting some shortcomings of the standard axiomatisation of modal structuralism, and propose a new axiomatisation I call MSST (for Modal Structural Set Theory). The main theorem is that MSST interprets exactly Zermelo set theory plus the claim that every set is in some inaccessible rank of the cumulative hierarchy. In the second part of the (...)
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  3.  74
    A strong reflection principle.Sam Roberts - 2017 - Review of Symbolic Logic 10 (4):651-662.
    This article introduces a new reflection principle. It is based on the idea that whatever is true in all entities of some kind is also true in a set-sized collection of them. Unlike standard reflection principles, it does not re-interpret parameters or predicates. This allows it to be both consistent in all higher-order languages and remarkably strong. For example, I show that in the language of second-order set theory with predicates for a satisfaction relation, it is consistent relative to the (...)
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  4.  27
    Altruism in social networks: evidence for a 'kinship premium'.Oliver Curry, Sam G. B. Roberts & Robin I. M. Dunbar - unknown
    Why and under what conditions are individuals altruistic to family and friends in their social networks? Evolutionary psychology suggests that such behaviour is primarily the product of adaptations for kin- and reciprocal altruism, dependent on the degree of genetic relatedness and exchange of benefits, respectively. For this reason, individuals are expected to be more altruistic to family members than to friends: whereas family members can be the recipients of kin and reciprocal altruism, friends can be the recipients of reciprocal altruism (...)
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  5. Ultimate V.Sam Roberts - manuscript
    Potentialism is the view that the universe of sets is inherently potential. It comes in two main flavours: height-potentialism and width-potentialism. It is natural to think that height and width potentialism are just aspects of a broader phenomenon of potentialism, that they might both be true. The main result of this paper is that this is mistaken: height and width potentialism are jointly inconsistent. Indeed, I will argue that height potentialism is independently committed to an ultimate background universe of sets, (...)
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  6. Hume’s Principle, Bad Company, and the Axiom of Choice.Sam Roberts & Stewart Shapiro - 2023 - Review of Symbolic Logic 16 (4):1158-1176.
    One prominent criticism of the abstractionist program is the so-called Bad Company objection. The complaint is that abstraction principles cannot in general be a legitimate way to introduce mathematical theories, since some of them are inconsistent. The most notorious example, of course, is Frege’s Basic Law V. A common response to the objection suggests that an abstraction principle can be used to legitimately introduce a mathematical theory precisely when it is stable: when it can be made true on all sufficiently (...)
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  7.  18
    No Easy Road to Impredicative Definabilism.Øystein Linnebo & Sam Roberts - 2024 - Philosophia Mathematica 32 (1):21-33.
    Bob Hale has defended a new conception of properties that is broadly Fregean in two key respects. First, like Frege, Hale insists that every property can be defined by an open formula. Second, like Frege, but unlike later definabilists, Hale seeks to justify full impredicative property comprehension. The most innovative part of his defense, we think, is a “definability constraint” that can serve as an implicit definition of the domain of properties. We make this constraint formally precise and prove that (...)
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  8. Constraints on Social Networks.Sam Gb Roberts - 2010 - In Social Brain, Distributed Mind. pp. 115.
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  9.  19
    Complex Sociality of Wild Chimpanzees Can Emerge from Laterality of Manual Gestures.Anna Ilona Roberts, Lindsay Murray & Sam George Bradley Roberts - 2019 - Human Nature 30 (3):299-325.
    Humans are strongly lateralized for manual gestures at both individual and population levels. In contrast, the laterality bias in primates is less strong, leading some to suggest that lateralization evolved after the Pan and Homo lineages diverged. However, laterality in humans is also context-dependent, suggesting that observed differences in lateralization between primates and humans may be related to external factors such as the complexity of the social environment. Here we address this question in wild chimpanzees and examine the extent to (...)
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  10.  11
    Social Brain Hypothesis: Vocal and Gesture Networks of Wild Chimpanzees.Sam G. B. Roberts & Anna I. Roberts - 2016 - Frontiers in Psychology 7.
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  11.  12
    Managing Relationship Decay.Sam B. G. Roberts & R. I. M. Dunbar - 2015 - Human Nature 26 (4):426-450.
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  12.  65
    Classless.Sam Roberts - 2020 - Analysis 80 (1):76-83.
    Classes are a kind of collection. Typically, they are too large to be sets. For example, there are classes containing absolutely all sets even though there is no set of all sets. But what are classes, if not sets? When our theory of classes is relatively weak, this question can be avoided. In particular, it is well known that von Neuman–Bernays–Godel class theory is conservative over the standard axioms of set theory ): anything NGB can prove about the sets is (...)
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  13.  10
    Applied Christian Ethics: Foundations, Economic Justice, and Politics.Charles C. Brown, Randall K. Bush, Gary Dorrien, Guyton B. Hammond, Christian T. Iosso, Edward LeRoy Long, John C. Raines, Carol S. Robb, Samuel K. Roberts, Harlan Stelmach, Laura Stivers, Robert L. Stivers, Randall W. Stone, Ronald H. Stone & Matthew Lon Weaver (eds.) - 2014 - Lanham, Maryland: Lexington Books.
    Applied Christian Ethics addresses selected themes in Christian social ethics. Part one shows the roots of contributors in the realist school; part two focuses on different levels of the significance of economics for social justice; and part three deals with both existential experience and government policy in war and peace issues.
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  14.  9
    African American Christian ethics.Samuel K. Roberts - 2001 - Cleveland: Pilgrim Press.
  15.  15
    Becoming the Neighbor: Virtue Theory and the Problem of Neighbor Identity.Samuel K. Roberts - 2008 - Interpretation: A Journal of Bible and Theology 62 (2):146-155.
    Ethical theories consistent with Christian moral sensibilities must assure each neighbor's dignity and recognize his or her unique needs. While utilitarian ethics and duty-based ethics may fail to some degree in these respects, virtue ethics offers perspectives that echo more faithfully the parable of the Good Samaritan.
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  16.  67
    Book Review: Genetics and Christian Ethics. [REVIEW]Samuel K. Roberts - 2008 - Interpretation: A Journal of Bible and Theology 62 (1):107-107.
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