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Reasoning with Arbitrary Objects

Noûs 22 (4):630-635 (1988)

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  1. XI*—A Few More Remarks on Logical Form.Alex Oliver - 1999 - Proceedings of the Aristotelian Society 99 (1):247-272.
    Alex Oliver; XI*—A Few More Remarks on Logical Form, Proceedings of the Aristotelian Society, Volume 99, Issue 1, 1 June 1999, Pages 247–272, https://doi.org/10.
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  • Austrian Philosophy: The Legacy of Franz Brentano.Barry Smith - 1994 - Chicago: Open Court.
    This book is a survey of the most important developments in Austrian philosophy in its classical period from the 1870s to the Anschluss in 1938. Thus it is intended as a contribution to the history of philosophy. But I hope that it will be seen also as a contribution to philosophy in its own right as an attempt to philosophize in the spirit of those, above all Roderick Chisholm, Rudolf Haller, Kevin Mulligan and Peter Simons, who have done so much (...)
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  • Aristotle’s Hylomorphism: The Causal-Explanatory Model.Michail Peramatzis - 2018 - Metaphysics 1 (1):12-32.
    There are several innocuous or trivial ways in which to explicate Aristotle’s hylomorphism. For example: objects are characterisable in terms of matter and form; or analysable into matter and form; or understood on the basis of matter and form. Serious problems arise when we seek to specify the sorts of relation holding among the different contributors to the hylomorphic picture. Here are some central general questions: a. What types of relation are most suitable for each n-tuple of contributors? b. What (...)
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  • Grounding, Conceivability, and the Mind-Body Problem.David Elohim - 2018 - Synthese 195 (2):919-926.
    This paper challenges the soundness of the two-dimensional conceivability argument against the derivation of phenomenal truths from physical truths in light of a hyperintensional, ground-theoretic regimentation of the ontology of consciousness. The regimentation demonstrates how ontological dependencies between truths about consciousness and about physics cannot be witnessed by epistemic constraints, when the latter are recorded by the conceivability—i.e., the epistemic possibility—thereof. Generalizations and other aspects of the philosophical significance of the hyperintensional regimentation are further examined.
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  • Generic Structures.Leon Horsten - 2019 - Philosophia Mathematica 27 (3):362-380.
    In this article ideas from Kit Fine’s theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generis mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine’s sense.
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  • Aristotle on Mathematical Truth.Phil Corkum - 2012 - British Journal for the History of Philosophy 20 (6):1057-1076.
    Both literalism, the view that mathematical objects simply exist in the empirical world, and fictionalism, the view that mathematical objects do not exist but are rather harmless fictions, have been both ascribed to Aristotle. The ascription of literalism to Aristotle, however, commits Aristotle to the unattractive view that mathematics studies but a small fragment of the physical world; and there is evidence that Aristotle would deny the literalist position that mathematical objects are perceivable. The ascription of fictionalism also faces a (...)
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  • Mathematical Generality, Letter-Labels, and All That.F. Acerbi - 2020 - Phronesis 65 (1):27-75.
    This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof; epigraphic evidence is adduced to show that these denotative letters are ‘letter-labels’. On this basis, the article explores the consequences of seeing that a Greek mathematical proposition is fully general, (...)
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  • The Barcan Formula in Metaphysics.Ori Simchen - 2013 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 28 (3):375-392.
    The Barcan formula (BF) is commonly paraphrased as the schematic conditional that if it is possible that there be a phi then something or other is possibly a phi. It is validated by the most straightforward systems of quantified modal logic. It is also widely considered to pose a threat to the commonsensical metaphysical view that there are no non-actual (or ‘merely possible’) things. I show how BF can be cleared of such a charge by construing it as a bridge (...)
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  • Situated mental representations.Jérôme Dokic - unknown
    Situation theorists such as John Barwise, John Etchemendy, John Perry and François Recanati have put forward the hypothesis that linguistic representations are situated in the sense that they are true or false only relative to partial situations which are not explicitly represented as such. Following Recanati's lead, I explore this hypothesis with respect to mental representations. First, I introduce the notion of unarticulated constituent, due to John Perry. I suggest that the question of whether there really are such constituents should (...)
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