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Paul Studtmann
Davidson College
  1.  27
    A Surprisingly Simple Solution to the Cosmological Constant Problem.Paul Studtmann - manuscript
    Erik Verlinde has proposed that gravity is an entropic force. E.P. Verlinde (2011). "On the Origin of Gravity and the Laws of Newton". JHEP. 2011 (4): 29. arXiv:1001.0785. Bibcode:2011JHEP...04..029V. doi:10.1007/JHEP04(2011)029. S2CID 3597565. Although Verlinde focuses on gravity and not the cosmological constant, Johannes Koelman It from Bit: How to get rid of dark energy, considered whether dark energy could be an entropic effect. He showed that such an assumption leads to a prediction of the cosmological constant that is very close (...)
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  2.  45
    God and Spacetime.Paul Studtmann - manuscript
    In The Divine Fractal, Studtmann (2021) introduced a novel conception of God, what he calls the symmetry conception, and showed that such a conception not only can be formalized within extensional non-well-founded set theory but also entails the Thomistic view that God is identical to her essence. In this paper, I show that Studtmann’s symmetry conception of God can be integrated into a recent approach to quantum gravity, namely causal set theory. The theory that results has two significant consequences. First, (...)
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  3.  53
    God and the Numbers.Paul Studtmann - manuscript
    According to Augustine, abstract objects are ideas in the Mind of God. Because numbers are a type of abstract object, it would follow that numbers are ideas in the Mind of God. Let us call such a view the Augustinian View of Numbers (AVN). In this paper, I present a formal theory for AVN. The theory stems from the symmetry conception of God as it appears in Studtmann (2021). I show that Robinson’s Arithmetic is a conservative extension of the axioms (...)
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  4.  19
    The Divine Fractal: 1st Order Extensional Theology.Paul Studtmann - 2021 - Philosophia 54:1-21.
    In this paper, I present what I call the symmetry conception of God within 1st order, extensional, non-well-founded set theory. The symmetry conception comes in two versions. According to the first, God is that unique being that is universally symmetrical with respect to set membership. According to the second, God is the universally symmetrical set of all sets that are universally symmetrical with respect to set membership. I present a number of theorems, most importantly that any universally symmetrical set is (...)
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  5.  24
    The Evolution of Autonomy: A Game-Theoretic Argument.Paul Studtmann & Shyam Gouri-Suresh - manuscript
    In this paper, we present a game-theoretic argument that humans evolved to cooperate among large groups of genetically unrelated individuals and to have preferences for an egalitarian distribution of surplus because they evolved into autonomous agents. We take as our understanding of autonomy what both Rousseau and Kant meant, namely that autonomy is obedience to a law that one has prescribed to oneself. The models we use for our argument are one of three types of models that have recently been (...)
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  6.  21
    Universalizing and the We: Endogenous Game Theoretic Deontology.Paul Studtmann & Shyam Gouri Suresh - 2020 - Economics and Philosophy 37 (2):244-259.
    The Nash counterfactual considers the question: what would happen were I to change my behaviour assuming no one else does. By contrast, the Kantian counterfactual considers the question: what would happen were everyone to deviate from some behaviour. We present a model that endogenizes the decision to engage in this type of Kantian reasoning. Autonomous agents using this moral framework receive psychic payoffs equivalent to the cooperate-cooperate payoff in Prisoner’s Dilemma regardless of the other player’s action. Moreover, if both interacting (...)
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