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Invariance or equivalence: a tale of two principles
The presence of symmetries in physical theories implies a pernicious form of underdetermination. In order to avoid this theoretical vice,...
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On the Consistency of Quasi-Set Theory
Quasi-set theory \(\mathfrak {Q}\) is a first... -
Logicality in natural language
Is there a relation of logical consequence in natural language? Logicality, in the philosophical literature, has been conceived of as a restrictive...
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Categoricity by convention
On a widespread naturalist view, the meanings of mathematical terms are determined, and can only be determined, by the way we use mathematical...
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Formal Issues of Trope-Only Theories of Universals
The paper discusses some formal difficulties concerning the theory of universals of Trope-Only ontologies, from which the formal theory of...
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An argument against nominalism
Nominalism in formal ontology is still the thesis that the only acceptable domain of quantification is the first-order domain of particulars....
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The Interpersonal Comparative View of Welfare: Its Merits and Flaws
According to the person-affecting view, the ethics of welfare should be cashed out in terms of how the individuals are affected. While the narrow...
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Five Indistinguishable Spheres
The significance of Max Black’s indistinguishable spheres for the nature of particles in quantum mechanics is discussed, focusing in particular on...
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Translation Invariance and Miller’s Weather Example
In his 1974 paper “Popper’s qualitative theory of verisimilitude” published in the British Journal for the Philosophy of Science David Miller gave...
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Inferential Quantification and the ω-Rule
Logical inferentialism maintains that the formal rules of inference fix the meanings of the logical terms. The categoricity problem points out to the... -
Symmetries and ground
If the tiles of a mosaic are arranged symmetrically, then the image those tiles constitute must be symmetric as well. This paper formulates and...
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Structural Realism and Agnosticism about Objects
Among scientific realists and anti-realists, there is a well-known, perennial dispute about the reality and knowability of unobservable objects. This...
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Carnap’s Problem, Definability and Compositionality
In his Formalization of Logic (1943) Carnap pointed out that there are non-normal interpretations of classical logic: non-standard interpretations of...
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Strict dominance and symmetry
The strict dominance principle that a wager always paying better than another is rationally preferable is one of the least controversial principles...
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On discernibility in symmetric languages: the case of quantum particles
In this paper I consider the question of whether absolute discernibility is attainable in symmetric languages. Simon Saunders has proven that all...
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A New Conjecture About Identity of Proofs
A central problem in proof-theory is that of finding criteria for identity of proofs, that is, for when two distinct formal derivations can be taken... -
Population ethics in an infinite universe
Population ethics studies the tradeoff between the total number of people who will ever live, and their quality of life. But widely accepted theories...
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Logical Seeing
This chapter serves as an interlude. Our goal in the following chapters is to show how tools of logic can used to uncover essential features of... -
Explicit Construction of Local Hidden Variables for Any Quantum Theory Up to Any Desired Accuracy
The machinery of quantum mechanics is fully capable of describing a single realistic world. Here we discuss the converse: in spite of appearances,... -
Against Symmetry Fundamentalism
Symmetry fundamentalism claims that symmetries should be taken metaphysically seriously as part of the fundamental ontology. The main aim of this...