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Multiverse Rebirth
Ancient Platonists believed in reincarnation, along with karmic laws that transformed past lives into future lives. Since reincarnation involves...
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The landscape and the multiverse: What’s the problem?
As a candidate theory of quantum gravity, the popularity of string theory has waxed and waned over the past four decades. One current source of...
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Abolishing Platonism in Multiverse Theories
A debated issue in the mathematical foundations in at least the last two decades is whether one can plausibly argue for the merits of treating...
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Metaphysical Indeterminacy in the Multiverse
One might suppose that Everettian quantum mechanics (EQM) is inhospitable to indeterminacy (MI), given that, as A. Wilson (The nature of contingency:...
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Models as Fundamental Entities in Set Theory: A Naturalistic and Practice-based Approach
This article addresses the question of fundamental entities in set theory. It takes up J. Hamkins’ claim that models of set theory are such...
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Risk and theoretical equivalence in mathematical foundations
Consistency, interpretability and probability are three key instruments in the mathematical philosopher’s kit when it comes to questions of...
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Mathematical Modality: An Investigation in Higher-order Logic
An increasing amount of contemporary philosophy of mathematics posits, and theorizes in terms of special kinds of mathematical modality. The goal of...
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Metaphysical indeterminacy in Everettian quantum mechanics
The question of whether Everettian quantum mechanics (EQM) justifies the existence of metaphysical indeterminacy has recently come to the fore....
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Maddy On The Multiverse
Penelope MaddyMaddy has recently addressed the set-theoretic multiverse set-theoretic multiverse , and expressed reservations on its status and...
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Set-theoretic pluralism and the Benacerraf problem
Set-theoretic pluralism is an increasingly influential position in the philosophy of set theory (Balaguer in Platonism and anti-platonism in...
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Mathematical Pluralism and Indispensability
Pluralist mathematical realism, the view that there exists more than one mathematical universe, has become an influential position in the philosophy...
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Perspectives on the Universe
Joel Hamkins has advanced a well known view to the effect that there is no unique universe of sets. There is simply a plurality of such universes. We...
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Infinite Forcing and the Generic Multiverse
In this article we present a technique for selecting models of set theory that are complete in a model-theoretic sense. Specifically, we will apply...
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Fine-Tuning and Order of our Universe
Various properties of the universe have been suggested as indicative of the work of ‘a designer’. I focus on two such properties: ‘fine-tuning’ and...
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Duality, Intensionality, and Contextuality: Philosophy of Category Theory and the Categorical Unity of Science in Samson Abramsky
Science does not exist in vacuum; it arises and works in context. Ground-breaking achievements transforming the scientific landscape often stem from...
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Maximality Principles in the Hyperuniverse Programme
In recent years, one of the main thrusts of set-theoretic research has been the investigation of maximality principles for V , the universe of sets....
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Structural Relativity and Informal Rigour
Informal rigour is the process by which we come to understand particular mathematical structures and then manifest this rigour through...
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Critical Math Kinds: A Framework for the Philosophy of Alternative Mathematics
Mathematics, even more than the other sciences, is often presented as essentially unique, as if it could not be any other way. And yet, prima facie...
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Being “LaMDA” and the Person of the Self in AI
The emergence of self in an artificial entity is a topic that is greeted with disbelief, fear, and finally dismissal of the topic itself as a...