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  1. What is the Upper Limit of Value?David Manheim & Anders Sandberg - manuscript
    How much value can our decisions create? We argue that unless our current understanding of physics is wrong in fairly fundamental ways, there exists an upper limit of value relevant to our decisions. First, due to the speed of light and the definition and conception of economic growth, the limit to economic growth is a restrictive one. Additionally, a related far larger but still finite limit exists for value in a much broader sense due to the physics of information and (...)
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  2. Infinite Aggregation and Risk.Hayden Wilkinson - forthcoming - Australasian Journal of Philosophy.
    For aggregative theories of moral value, it is a challenge to rank worlds that each contain infinitely many valuable events. And, although there are several existing proposals for doing so, few provide a cardinal measure of each world's value. This raises the even greater challenge of ranking lotteries over such worlds—without a cardinal value for each world, we cannot apply expected value theory. How then can we compare such lotteries? To date, we have just one method for doing so (proposed (...)
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  3. Transfinitely Transitive Value.Kacper Kowalczyk - 2021 - Philosophical Quarterly 72 (1):108-134.
    This paper develops transfinite extensions of transitivity and acyclicity in the context of population ethics. They are used to argue that it is better to add good lives, worse to add bad lives, and equally good to add neutral lives, where a life's value is understood as personal value. These conclusions rule out a number of theories of population ethics, feed into an argument for the repugnant conclusion, and allow us to reduce different-number comparisons to same-number ones. Challenges to these (...)
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  4. How Valuable Could a Person Be?Joshua Rasmussen & Andrew M. Bailey - 2021 - Philosophy and Phenomenological Research 103 (2):264-277.
    We investigate the value of persons. Our primary goal is to chart a path from equal and extreme value to infinite value. We advance two arguments. Each argument offers a reason to think that equal and extreme value are best accounted for if we are infinitely valuable. We then raise some difficult but fruitful questions about the possible grounds or sources of our infinite value, if we indeed have such value.
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  5. Infinite Aggregation.Hayden Wilkinson - 2021 - Dissertation, Australian National University
    Suppose you found that the universe around you was infinite—that it extended infinitely far in space or in time and, as a result, contained infinitely many persons. How should this change your moral decision-making? Radically, it seems, according to some philosophers. According to various recent arguments, any moral theory that is ’minimally aggregative’ will deliver absurd judgements in practice if the universe is (even remotely likely to be) infinite. This seems like sound justification for abandoning any such theory. -/- My (...)
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  6. Too Much of a Good Thing: Decision-Making in Cases with Infinitely Many Utility Contributions.Christopher J. G. Meacham - 2020 - Synthese 198 (8):7309-7349.
    Theories that use expected utility maximization to evaluate acts have difficulty handling cases with infinitely many utility contributions. In this paper I present and motivate a way of modifying such theories to deal with these cases, employing what I call “Direct Difference Taking”. This proposal has a number of desirable features: it’s natural and well-motivated, it satisfies natural dominance intuitions, and it yields plausible prescriptions in a wide range of cases. I then compare my account to the most plausible alternative, (...)
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  7. In Defence of No Best World.Daniel Rubio - 2020 - Australasian Journal of Philosophy (4):811-825.
    Recent work in the philosophy of religion has resurrected Leibniz’s idea that there is a best possible world, perhaps ours. In particular, Klaas Kraay’s [2010] construction of a theistic multiverse and Nevin Climenhaga’s [2018] argument from infinite value theory are novel defenses of a best possible world. I do not think that there is a best world, and show how both Kraay and Climenhaga may be resisted. First, I argue that Kraay’s construction of a theistic multiverse can be resisted from (...)
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  8. Infinite aggregation: expanded addition.Hayden Wilkinson - 2020 - Philosophical Studies 178 (6):1917-1949.
    How might we extend aggregative moral theories to compare infinite worlds? In particular, how might we extend them to compare worlds with infinite spatial volume, infinite temporal duration, and infinitely many morally valuable phenomena? When doing so, we face various impossibility results from the existing literature. For instance, the view we adopt can endorse the claim that worlds are made better if we increase the value in every region of space and time, or that they are made better if we (...)
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  9. Aggregation for Potentially Infinite Populations Without Continuity or Completeness.David McCarthy, Kalle M. Mikkola & J. Teruji Thomas - 2019 - arXiv:1911.00872 [Econ.TH].
    We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown to (...)
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  10. Incommensurability and Moral Value.Mark R. Reiff - 2014 - Politics, Philosophy and Economics 13 (3):237-268.
    Some theorists believe that there is a plurality of values, and that in many circumstances these values are incommensurable, or at least incomparable. Others believe that all values are reducible to a single super-value, or that even if there is a plurality of irreducible values these values are commensurable. But I will argue that both sides have got it wrong. Values are neither commensurable nor incommensurable, at least not in the way most people think. We are free to believe in (...)
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  11. Should Utilitarians Be Cautious About an Infinite Future?Luc Van Liedekerke - 1995 - Australasian Journal of Philosophy 73 (3):405-407.
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  12. Aggregation in an Infinite, Relativistic Universe.Hayden Wilkinson - manuscript
    Aggregative moral theories face a series of devastating problems when we apply them in a physically realistic setting. According to current physics, our universe is likely _infinitely large_, and will contain infinitely many morally valuable events. But standard aggregative theories are ill-equipped to compare outcomes containing infinite total value so, applied in a realistic setting, they cannot compare any outcomes a real-world agent must ever choose between. This problem has been discussed extensively, and non-standard aggregative theories proposed to overcome it. (...)
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  13. Chaos, Add Infinitum.Hayden Wilkinson - manuscript
    Our universe is both chaotic and (most likely) infinite in space and time. But it is within this setting that we must make moral decisions. This presents problems. The first: due to our universe's chaotic nature, our actions often have long-lasting, unpredictable effects; and this means we typically cannot say which of two actions will turn out best in the long run. The second problem: due to the universe's infinite dimensions, and infinite population therein, we cannot compare outcomes by simply (...)
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