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Bahram Assadian
University of Amsterdam
  1. The Semantic Plights of the Ante-Rem Structuralist.Bahram Assadian - 2018 - Philosophical Studies 175 (12):1-20.
    A version of the permutation argument in the philosophy of mathematics leads to the thesis that mathematical terms, contrary to appearances, are not genuine singular terms referring to individual objects; they are purely schematic or variables. By postulating ‘ante-rem structures’, the ante-rem structuralist aims to defuse the permutation argument and retain the referentiality of mathematical terms. This paper presents two semantic problems for the ante- rem view: (1) ante-rem structures are themselves subject to the permutation argument; (2) the ante-rem structuralist (...)
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  2.  43
    Abstractionism and Mathematical Singular Reference.Bahram Assadian - 2019 - Philosophia Mathematica 27 (2):177-198.
    ABSTRACT Is it possible to effect singular reference to mathematical objects in the abstractionist framework? I will argue that even if mathematical expressions pass the relevant syntactic and inferential tests to qualify as singular terms, that does not mean that their semantic function is to refer to a particular object. I will defend two arguments leading to this claim: the permutation argument for the referential indeterminacy of mathematical terms, and the argument from the semantic idleness of the terms introduced by (...)
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  3.  58
    Introduction to Knowledge, Number and Reality. Encounters with the Work of Keith Hossack.Nils Kürbis, Jonathan Nassim & Bahram Assadian - 2022 - In Nils Kürbis, Jonathan Nassim & Bahram Assadian (eds.), Knowledge, Number and Reality. Encounters with the Work of Keith Hossack. London: Bloomsbury Academic. pp. 1-30.
    The Introduction to "Knowledge, Number and Reality. Encounters with the Work of Keith Hossack" provides an overview over Hossack's work and the contributions to the volume.
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  4.  76
    Are the Natural Numbers Fundamentally Ordinals?Bahram Assadian & Stefan Buijsman - 2019 - Philosophy and Phenomenological Research 99 (3):564-580.
    There are two ways of thinking about the natural numbers: as ordinal numbers or as cardinal numbers. It is, moreover, well‐known that the cardinal numbers can be defined in terms of the ordinal numbers. Some philosophies of mathematics have taken this as a reason to hold the ordinal numbers as fundamental. By discussing structuralism and neo‐logicism we argue that one can empirically distinguish between accounts that endorse this fundamentality claim and those that do not. In particular, we argue that if (...)
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  5.  16
    Mathematical Structures, Universals, and Singular Terms.Bahram Assadian - forthcoming - In B. Assadian N. Kürbis (ed.), Knowledge, Number, and Reality; Encounters with the Work of Keith Hossack. London, UK: pp. 203-216.
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  6.  89
    Indeterminacy and Failure of Grounding.Bahram Assadian & Jonathan Nassim - 2019 - Theoria (4):1.
    Cases of grounding failure present a puzzle for fundamental metaphysics. Typically, solutions are thought to lie either in adding ontology such as haecceities or in re‐describing the cases by means of the ideology of metaphysical indeterminacy. The controversial status of haecceities has led some to favour metaphysical indeterminacy as the way to solve the puzzle. We consider two further treatments of grounding failure each of which, we argue, is a more plausible alternative. As such, the initial dichotomy is a false (...)
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  7.  59
    In Defence of Utterly Indiscernible Entities.Bahram Assadian - 2019 - Philosophical Studies 176 (10):2551-2561.
    Are there entities which are just distinct, with no discerning property or relation? Although the existence of such utterly indiscernible entities is ensured by mathematical and scientific practice, their legitimacy faces important philosophical challenges. I will discuss the most fundamental objections that have been levelled against utter indiscernibles, argue for the inadequacy of the extant arguments to allay perplexity about them, and put forward a novel defence of these entities against those objections.
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  8.  63
    The Metaphysics of Relations.Bahram Assadian - 2017 - Philosophical Quarterly 67 (269):871-874.
    © The Author 2016. Published by Oxford University Press on behalf of The Scots Philosophical Association and the University of St Andrews. All rights reserved. For permissions, please e-mail: [email protected] loves Juliet. What is the relation that relates one individual to the other? Juliet does not love Romeo. What explains the fact that some individuals are arranged thus-and-so as opposed to so-and-thus? Is the amatory relation nothing over and above the intrinsic properties of the lover and the beloved, or not? (...)
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  9.  2
    Deflationary Reference and Referential Indeterminacy.Bahram Assadian - 2021 - In Mojtaba Mojtahedi, Shahid Rahman & MohammadSaleh Zarepour (eds.), Mathematics, Logic, and Their Philosophies: Essays in Honour of Mohammad Ardeshir. Springer. pp. 365-377.
    Indeterminacy of reference appears to be incompatible with the deflationist conceptions of reference: in deflationismDeflationism, the singular term ‘a’ refers to a, if it exists, and to nothing else, whereas if the term is referentially indeterminate, it has a variety of equally permissible reference-candidates: referential indeterminacyReferential indeterminacy and deflationismDeflationism cannot both be maintained. In this paper, I discuss the incompatibility thesis, critically examine the arguments leading to it, and thereby point towards ways in which the deflationist can explain referential indeterminacyReferential (...)
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  10.  38
    Abstractionism: Essays in Philosophy of MathematicsBy Philip A. Ebert and Marcus Rossberg.Bahram Assadian - 2018 - Analysis 78 (1):188-191.
    © The Author 2017. Published by Oxford University Press on behalf of The Analysis Trust. All rights reserved. For Permissions, please email: [email protected] in the philosophy of mathematics is the thesis that the basic laws of the foundational theories of mathematics, such as arithmetic, real analysis, and even perhaps set theory, can be derived from suitable abstraction principles, with the aid of logic and definitions.This volume is a most welcome and comprehensive addition to the scholarship in abstractionism. The 16 papers (...)
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  11.  43
    Knowledge, Number and Reality: Encounters with the Work of Keith Hossack.Nils Kürbis, Bahram Assadian & Jonathan Nassim (eds.) - 2022 - London: Bloomsbury.
    Throughout his career, Keith Hossack has made outstanding contributions to the theory of knowledge, metaphysics and the philosophy of mathematics. -/- This collection of previously unpublished papers begins with a focus on Hossack's conception of the nature of knowledge, his metaphysics of facts and his account of the relations between knowledge, agents and facts. Attention moves to Hossack's philosophy of mind and the nature of consciousness, before turning to the notion of necessity and its interaction with a priori knowledge. Hossack's (...)
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  12.  12
    Correction To: The Semantic Plights of the Ante-Rem Structuralist.Bahram Assadian - 2018 - Philosophical Studies 175 (12):3237-3237.
    In the original publication of the article, footnote 17 was incorrectly published. The corrected footnote is given below.
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