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Grounding Concepts: An Empirical Basis for Arithmetical Knowledge

Oxford, England: Oxford University Press (2008)

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  1. Was Wittgenstein a radical conventionalist?Ásgeir Berg - 2024 - Synthese 203 (2):1-31.
    This paper defends a reading of Wittgenstein’s philosophy of mathematics in the Lectures on the Foundation of Mathematics as a radical conventionalist one, whereby our agreement about the particular case is constitutive of our mathematical practice and ‘the logical necessity of any statement is a direct expression of a convention’ (Dummett 1959, p. 329). -/- On this view, mathematical truths are conceptual truths and our practices determine directly for each mathematical proposition individually whether it is true or false. Mathematical truths (...)
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  • Method in Analytic Metaphysics.Daniel Nolan - 2016 - In Herman Cappelen, Tamar Gendler & John P. Hawthorne (eds.), The Oxford Handbook of Philosophical Methodology. Oxford, United Kingdom: Oxford University Press.
    This article focuses on the main methods used in analytic metaphysics. It first considers five important sources of constraints on metaphysical theorizing: linguistic and conceptual analysis, consulting intuitions, employing the findings of science, respecting folk opinion, and applying theoretical virtues in metaphysical theory choice such as preferring simpler theories, or preferring more explanatory theories. It then examines the role of formal methods in metaphysics as well as the role of metaphysical communities, traditions, and the place of the history of metaphysics (...)
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  • The Oxford Handbook of Philosophical Methodology.Herman Cappelen, Tamar Gendler & John Hawthorne (eds.) - 2016 - Oxford, United Kingdom: Oxford University Press.
    This is the most comprehensive book ever published on philosophical methodology. A team of thirty-eight of the world's leading philosophers present original essays on various aspects of how philosophy should be and is done. The first part is devoted to broad traditions and approaches to philosophical methodology. The entries in the second part address topics in philosophical methodology, such as intuitions, conceptual analysis, and transcendental arguments. The third part of the book is devoted to essays about the interconnections between philosophy (...)
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  • Epistemic Courage.Jonathan Ichikawa - 2024 - Oxford: Oxford University Press.
    Epistemic Courage is a timely and thought-provoking exploration of the ethics of belief, which shows why epistemology is no mere academic abstraction - the question of what to believe couldn't be more urgent. Jonathan Ichikawa argues that a skeptical, negative bias about belief is connected to a conservative bias that reinforces the status quo.
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  • Methodological Naturalism in Metaethics.Daniel Nolan - 2017 - In Tristram Colin McPherson & David Plunkett (eds.), The Routledge Handbook of Metaethics. New York: Routledge. pp. 659-673.
    Methodological naturalism arises as a topic in metaethics in two ways. One is the issue of whether we should be methodological naturalists when doing our moral theorising, and another is whether we should take a naturalistic approach to metaethics itself. Interestingly, these can come apart, and some naturalist programs in metaethics justify a non-scientific approach to our moral theorising. This paper discusses the range of approaches that fall under the general umbrella of methodological naturalism, and how naturalists view the role (...)
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  • Concepts, experience and modal knowledge1.C. S. Jenkins - 2010 - Philosophical Perspectives 24 (1):255-279.
    forthcoming in R. Cameron, B. Hale and A. Hoffmann (ed.s), The Logic, Epistemology and Metaphysics of Modality, Oxford University Press. Presents a concept-grounding account of modal knowledge.
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  • The Reliability Challenge and the Epistemology of Logic.Joshua Schechter - 2010 - Philosophical Perspectives 24 (1):437-464.
    We think of logic as objective. We also think that we are reliable about logic. These views jointly generate a puzzle: How is it that we are reliable about logic? How is it that our logical beliefs match an objective domain of logical fact? This is an instance of a more general challenge to explain our reliability about a priori domains. In this paper, I argue that the nature of this challenge has not been properly understood. I explicate the challenge (...)
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  • Epistemic Thought Experiments and Intuitions.Manhal Hamdo - 2023 - Springer Verlag.
    This work investigates intuitions' nature, demonstrating how philosophers can best use them in epistemology. First, the author considers several paradigmatic thought experiments in epistemology that depict the appeal to intuition. He then argues that the nature of thought experiment-generated intuitions is not best explained by an a priori Platonism. Second, the book instead develops and argues for a thin conception of epistemic intuitions. The account maintains that intuition is neither a priori nor a posteriori but multi-dimensional. It is an intentional (...)
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  • Articulating the A Priori-A Posteriori Distinction.Albert Casullo - 2014 - In Essays on a Priori Knowledge and Justification. Oup Usa. pp. 289-327.
    The distinction between a priori knowledge and a posteriori knowledge has come under attack in the recent literature by Philip Kitcher, John Hawthorne, C. S. Jenkins, and Timothy Williamson. Evaluating the attacks requires answering two questions. First, have they hit their target? Second, are they compelling? My goal is to argue that the attacks fail because they miss their target. Since the attacks are directed at a particular concept or distinction, they must accurately locate the target concept or distinction. Accurately (...)
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  • The A Priori Without Magic.Jared Warren - 2022 - New York, NY, USA: Cambridge University Press.
    The distinction between the a priori and the a posteriori is an old and influential one. But both the distinction itself and the crucial notion of a priori knowledge face powerful philosophical challenges. Many philosophers worry that accepting the a priori is tantamount to accepting epistemic magic. In contrast, this Element argues that the a priori can be formulated clearly, made respectable, and used to do important epistemological work. The author's conception of the a priori and its role falls short (...)
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  • Meaning, Understanding, and A Priori Knowledge.Célia Teixeira - 2019 - Philosophia 47 (3):901-916.
    According to the most popular account of the a priori, which we might call Analytic Account of the A Priori, we can explain the a priori in terms of the notion of analyticity. According to the least popular account of the a priori, the explanation of the a priori proceeds by appealing to the faculties used in the acquisition of a priori knowledge, such as the faculty of rational intuition – call this Rationalist Account of the A Priori. The main (...)
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  • Non-uniformism and the Epistemology of Philosophically Interesting Modal Claims.Ylwa Sjölin Wirling - 2021 - Grazer Philosophische Studien 98 (4):629-656.
    Philosophers often make exotic-sounding modal claims, such as: “A timeless world is impossible”, “The laws of physics could have been different from what they are”, “There could have been an additional phenomenal colour”. Otherwise popular empiricist modal epistemologies in the contemporary literature cannot account for whatever epistemic justification we might have for making such modal claims. Those who do not, as a result of this, endorse scepticism with respect to their epistemic status typically suggest that they can be justified but (...)
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  • Concept Formation and Concept Grounding.Jörgen Sjögren & Christian Bennet - 2014 - Philosophia 42 (3):827-839.
    Recently Carrie S. Jenkins formulated an epistemology of mathematics, or rather arithmetic, respecting apriorism, empiricism, and realism. Central is an idea of concept grounding. The adequacy of this idea has been questioned e.g. concerning the grounding of the mathematically central concept of set (or class), and of composite concepts. In this paper we present a view of concept formation in mathematics, based on ideas from Carnap, leading to modifications of Jenkins’s epistemology that may solve some problematic issues with her ideas. (...)
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  • An Integrative Design? How liberalised modal empiricism fails the integration challenge.Ylwa Sjölin Wirling - 2021 - Synthese 198 (6):5655-5673.
    The idea that justified modal belief can be accounted for in terms of empirically justified, non-modal belief is enjoying increasing popularity in the epistemology of modality. One alleged reason to prefer modal empiricism over more traditional, rationalist modal epistemologies is that empiricism avoids the problem with the integration challenge that arise for rationalism, assuming that we want to be realists about modal metaphysics. In this paper, I argue that given two very reasonable constraints on what it means to meet the (...)
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  • Grounding and a priori epistemology: challenges for conceptualism.Robert Weston Siscoe - 2021 - Synthese 199 (3-4).
    Traditional rationalist approaches to a priori epistemology have long been looked upon with suspicion for positing a faculty of rational intuition capable of knowing truths about the world apart from experience. Conceptualists have tried to fill this void with something more empirically tractable, arguing that we know a priori truths due to our understanding of concepts. All of this theorizing, however, has carried on while neglecting an entire cross section of such truths, the grounding claims that we know a priori. (...)
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  • Neuropragmatism, knowledge, and pragmatic naturalism.John Shook - 2013 - Human Affairs 23 (4):576-593.
    Neuropragmatism is a research program taking sciences about cognitive development and learning methods most seriously, in order to reevaluate and reformulate philosophical issues. Knowledge, consciousness, and reason are among the crucial philosophical issues directly affected. Pragmatism in general has allied with the science-affirming philosophy of naturalism. Naturalism is perennially tested by challenges questioning its ability to accommodate and account for knowledge, consciousness, and reason. Neuropragmatism is in a good position to evaluate those challenges. Some ways to defuse them are suggested (...)
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  • Experience and reasoning: challenging the a priori/a posteriori distinction.Daniele Sgaravatti - 2020 - Synthese 197 (3):1127-1148.
    Williamson and others have recently argued against the significance of the a priori/a posteriori distinction. My aim in this paper is to explain, defend, and expand upon one of these arguments. In the first section, I develop in some detail a line of argument sketched in Williamson. In the second section, I consider two replies to Williamson and show that they miss the structure of the challenge, as I understand it. The problem for defenders of the distinction is to find (...)
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  • Concept grounding and knowledge of set theory.Jeffrey W. Roland - 2010 - Philosophia 38 (1):179-193.
    C. S. Jenkins has recently proposed an account of arithmetical knowledge designed to be realist, empiricist, and apriorist: realist in that what’s the case in arithmetic doesn’t rely on us being any particular way; empiricist in that arithmetic knowledge crucially depends on the senses; and apriorist in that it accommodates the time-honored judgment that there is something special about arithmetical knowledge, something we have historically labeled with ‘a priori’. I’m here concerned with the prospects for extending Jenkins’s account beyond arithmetic—in (...)
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  • Modal Epistemology, Modal Concepts and the Integration Challenge.Sonia Roca-Royes - 2010 - Dialectica 64 (3):335-361.
    The paper argues against Peacocke's moderate rationalism in modality. In the first part, I show, by identifying an argumentative gap in its epistemology, that Peacocke's account has not met the Integration Challenge. I then argue that we should modify the account's metaphysics of modal concepts in order to avoid implausible consequences with regards to their possession conditions. This modification generates no extra explanatory gap. Yet, once the minimal modification that avoids those implausible consequences is made, the resulting account cannot support (...)
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  • The A Posteriori Armchair.Daniel Nolan - 2015 - Australasian Journal of Philosophy 93 (2):211-231.
    A lot of good philosophy is done in the armchair, but is nevertheless a posteriori. This paper clarifies and then defends that claim. Among the a posteriori activities done in the armchair are assembling and evaluating commonplaces; formulating theoretical alternatives; and integrating well-known past a posteriori discoveries. The activity that receives the most discussion, however, is the application of theoretical virtues to choose philosophical theories: the paper argues that much of this is properly seen as a posteriori.
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  • Explanationist aid for phenomenal conservatism.Kevin McCain - 2018 - Synthese 195 (7):3035-3050.
    Phenomenal conservatism is a popular theory of epistemic justification. Despite its popularity and the fact that some think that phenomenal conservatism can provide a complete account of justification, it faces several challenges. Among these challenges are the need to provide accounts of defeaters and inferential justification. Fortunately, there is hope for phenomenal conservatism. Explanationism, the view on which justification is a matter of explanatory considerations, can help phenomenal conservatism with both of these challenges. The resulting view is one that respects (...)
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  • Implicit definition and the application of logic.Thomas Kroedel - 2012 - Philosophical Studies 158 (1):131-148.
    The paper argues that the theory of Implicit Definition cannot give an account of knowledge of logical principles. According to this theory, the meanings of certain expressions are determined such that they make certain principles containing them true; this is supposed to explain our knowledge of the principles as derived from our knowledge of what the expressions mean. The paper argues that this explanation succeeds only if Implicit Definition can account for our understanding of the logical constants, and that fully (...)
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  • The traditional conception of the a priori.Masashi Kasaki & C. S. I. Jenkins - 2015 - Synthese 192 (9):2725-2746.
    In this paper, we explore the traditional conception of a prioricity as epistemic independence of evidence from sense experience. We investigate the fortunes of the traditional conception in the light of recent challenges by Timothy Williamson. We contend that Williamson’s arguments can be resisted in various ways. En route, we argue that Williamson’s views are not as distant from tradition as they might seem at first glance.
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  • Kripkenstein and the cleverly disguised mules.C. S. I. Jenkins - 2011 - Analytic Philosophy 52 (2):88-99.
  • Justification magnets.C. S. I. Jenkins - 2013 - Philosophical Studies 164 (1):93-111.
    David Lewis is associated with the controversial thesis that some properties are more eligible than others to be the referents of our predicates solely in virtue of those properties’ being more natural; independently, that is, of anything to do with our patterns of usage of the relevant predicates. On such a view, the natural properties act as ‘reference magnets’. In this paper I explore (though I do not endorse) a related thesis in epistemology: that some propositions are ‘justification magnets’. According (...)
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  • Critical notice of spandrels of truth by J.c. Beall.C. S. Jenkins - 2010 - Philosophical Books 51 (4):245-254.
  • A priori knowledge: Debates and developments.C. S. Jenkins - 2008 - Philosophy Compass 3 (3):436–450.
    forthcoming in Philosophy Compass. This is a paper which aims both to survey the field and do some work at its cutting edge.
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  • Contextual Injustice.Jonathan Ichikawa - 2020 - Kennedy Institute of Ethics Journal 30 (1):1–30.
    Contextualist treatments of clashes of intuitions can allow that two claims, apparently in conflict, can both be true. But making true utterances is far from the only thing that matters — there are often substantive normative questions about what contextual parameters are appropriate to a given conversational situation. This paper foregrounds the importance of the social power to set contextual standards, and how it relates to injustice and oppression, introducing a phenomenon I call "contextual injustice," which has to do with (...)
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  • Normative Inference Tickets.Jen Foster & Jonathan Ichikawa - 2023 - Episteme:1-27.
    We argue that stereotypes associated with concepts like he-said–she-said, conspiracy theory, sexual harassment, and those expressed by paradigmatic slurs provide “normative inference tickets”: conceptual permissions to automatic, largely unreflective normative conclusions. These “mental shortcuts” are underwritten by associated stereotypes. Because stereotypes admit of exceptions, normative inference tickets are highly flexible and productive, but also liable to create serious epistemic and moral harms. Epistemically, many are unreliable, yielding false beliefs which resist counterexample; morally, many perpetuate bigotry and oppression. Still, some normative (...)
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  • Grounding Concepts: The Problem of Composition.Gábor Forrai - 2011 - Philosophia 39 (4):721-731.
    In a recent book C.S. Jenkins proposes a theory of arithmetical knowledge which reconciles realism about arithmetic with the a priori character of our knowledge of it. Her basic idea is that arithmetical concepts are grounded in experience and it is through experience that they are connected to reality. I argue that the account fails because Jenkins’s central concept, the concept for grounding, is inadequate. Grounding as she defines it does not suffice for realism, and by revising the definition we (...)
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  • What a maker’s knowledge could be.Luciano Floridi - 2018 - Synthese 195 (1):465-481.
    Three classic distinctions specify that truths can be necessary versus contingent,analytic versus synthetic, and a priori versus a posteriori. The philosopher reading this article knows very well both how useful and ordinary such distinctions are in our conceptual work and that they have been subject to many and detailed debates, especially the last two. In the following pages, I do not wish to discuss how far they may be tenable. I shall assume that, if they are reasonable and non problematic (...)
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  • Response to my critics: Chris Pincock, Lisa Warenski and Jonathan Weinberg.Albert Casullo - 2016 - Philosophical Studies 173 (6):1705-1720.
    This is my response to the papers by Chris Pincock, Lisa Warenski and Jonathan Weinberg, which were presented at the Book Symposium on my Essays on A Priori Knowledge and Justification, American Philosophical Association Pacific Division Meetings, March 16–19, 2014.
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  • Four challenges to the a priori—a posteriori distinction.Albert Casullo - 2015 - Synthese 192 (9):2701-2724.
    During the past decade a new twist in the debate regarding the a priori has unfolded. A number of prominent epistemologists have challenged the coherence or importance of the a priori—a posteriori distinction or, alternatively, of the concept of a priori knowledge. My focus in this paper is on these new challenges to the a priori. My goals are to provide a framework for organizing the challenges, articulate and assess a range of the challenges, and present two challenges of my (...)
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  • The Logic of Learning.Christian Bennet - 2019 - Axiomathes 29 (2):173-187.
    An intensional logic is presented and suggested as a framework for a formal investigation of learning. The framework allows for discussing and comparing concepts and representations, and makes it possible to view learning processes as iterations of a certain type of functions. It is shown how this framework may be used to shed light on Meno’s paradox, but also on concepts such as Vygotsky’s ZPD and learning trajectories. In the case of mathematics, where there are recent attempts to merge ideas (...)
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  • Absence perception and the philosophy of zero.Neil Barton - 2020 - Synthese 197 (9):3823-3850.
    Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating an account of numbers as properties of collections, work on the philosophy of absences, and recent (...)
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  • Understanding and philosophical methodology.Magdalena Balcerak Jackson & Brendan Balcerak Jackson - 2012 - Philosophical Studies 161 (2):185-205.
    According to Conceptualism, philosophy is an independent discipline that can be pursued from the armchair because philosophy seeks truths that can be discovered purely on the basis of our understanding of expressions and the concepts they express. In his recent book, The Philosophy of Philosophy, Timothy Williamson argues that while philosophy can indeed be pursued from the armchair, we should reject any form of Conceptualism. In this paper, we show that Williamson’s arguments against Conceptualism are not successful, and we sketch (...)
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  • Intuitions.James Andow - 2016 - Analysis 76 (2):232-246.
    Intuitions is presented as a counterpart of Rethinking Intuition ( DePaul and Ramsey 1998 ). 1 After 16 years, it revisits the topic of the place of intuitions in philosophy in light of two developments...
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  • Two-dimensional semantics.Laura Schroeter - 2010 - Stanford Encyclopedia of Philosophy.
    Two-dimensional (2D) semantics is a formal framework that is used to characterize the meaning of certain linguistic expressions and the entailment relations among sentences containing them. 2D semantics has also been applied to thought contents. In contrast with standard possible worlds semantics, 2D semantics assigns extensions and truth-values to expressions relative to two possible world parameters, rather than just one. So a 2D semantic framework provides finer-grained semantic values than those available within standard possible world semantics, while using the same (...)
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  • Epistemology.Matthias Steup - 2008 - Stanford Encyclopedia of Philosophy.
    Defined narrowly, epistemology is the study of knowledge and justified belief. As the study of knowledge, epistemology is concerned with the following questions: What are the necessary and sufficient conditions of knowledge? What are its sources? What is its structure, and what are its limits? As the study of justified belief, epistemology aims to answer questions such as: How we are to understand the concept of justification? What makes justified beliefs justified? Is justification internal or external to one's own mind? (...)
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  • Naturalism.Davidn D. Papineau - 2007 - Stanford Encyclopedia of Philosophy.
    The term ‘naturalism’ has no very precise meaning in contemporary philosophy. Its current usage derives from debates in America in the first half of the last century. The self-proclaimed ‘naturalists’ from that period included John Dewey, Ernest Nagel, Sidney Hook and Roy Wood Sellars. These philosophers aimed to ally philosophy more closely with science. They urged that reality is exhausted by nature, containing nothing ‘supernatural’, and that the scientific method should be used to investigate all areas of reality, including the (...)
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  • On Putting Knowledge 'First'.Jonathan Ichikawa & C. S. I. Jenkins - 2017 - In Joseph Adam Carter, Emma C. Gordon & Benjamin Jarvis (eds.), Knowledge First: Approaches in Epistemology and Mind. Oxford University Press.
    There is a New Idea in epistemology. It goes by the name of ‘knowledge first,’ and it is particularly associated with Timothy Williamson’s book Knowledge and Its Limits. In slogan form, to put knowledge first is to treat knowledge as basic or fundamental, and to explain other states—belief, justification, maybe even content itself—in terms of knowledge, instead of vice versa. The idea has proven enormously interesting, and equally controversial. But deep foundational questions about its actual content remain relatively unexplored. We (...)
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  • El conservadurismo realista acerca de la composición de Daniel Korman.Ezequiel Zerbudis - 2018 - Cuadernos de Filosofía 36:33-53.
    In this paper I first present Dan Korman’s (2015) recent defence of a conservative view as regards the existence and composition of material objects, and then go on to criticize some of his arguments. I will focus on two related issues: on the one hand, I argue that his defense of that kind of view by making use of what he calls “arguments from counterexamples” has some metaontological presuppositions that are indeed unacceptable for someone defending the revisionist views he opposes; (...)
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  • Philosophy of Mathematics for the Masses : Extending the scope of the philosophy of mathematics.Stefan Buijsman - 2016 - Dissertation, Stockholm University
    One of the important discussions in the philosophy of mathematics, is that centered on Benacerraf’s Dilemma. Benacerraf’s dilemma challenges theorists to provide an epistemology and semantics for mathematics, based on their favourite ontology. This challenge is the point on which all philosophies of mathematics are judged, and clarifying how we might acquire mathematical knowledge is one of the main occupations of philosophers of mathematics. In this thesis I argue that this discussion has overlooked an important part of mathematics, namely mathematics (...)
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