Switch to: References

Add citations

You must login to add citations.
  1. The Epistemology of Mathematical Necessity.Catherine Legg - 2018 - In Peter Chapman, Gem Stapleton, Amirouche Moktefi, Sarah Perez-Kriz & Francesco Bellucci (eds.), Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. Berlin: Springer-Verlag. pp. 810-813.
    It seems possible to know that a mathematical claim is necessarily true by inspecting a diagrammatic proof. Yet how does this work, given that human perception seems to just (as Hume assumed) ‘show us particular objects in front of us’? I draw on Peirce’s account of perception to answer this question. Peirce considered mathematics as experimental a science as physics. Drawing on an example, I highlight the existence of a primitive constraint or blocking function in our thinking which we might (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Why Images Cannot be Arguments, But Moving Ones Might.Marc Champagne & Ahti-Veikko Pietarinen - 2020 - Argumentation 34 (2):207-236.
    Some have suggested that images can be arguments. Images can certainly bolster the acceptability of individual premises. We worry, though, that the static nature of images prevents them from ever playing a genuinely argumentative role. To show this, we call attention to a dilemma. The conclusion of a visual argument will either be explicit or implicit. If a visual argument includes its conclusion, then that conclusion must be demarcated from the premise or otherwise the argument will beg the question. If (...)
    Download  
    Translate
     
     
    Export citation  
     
    Bookmark  
  • ‘Let No-One Ignorant of Geometry…’: Mathematical Parallels for Understanding the Objectivity of Ethics.James Franklin - 2021 - Journal of Value Inquiry 55:1-20.
    It may be a myth that Plato wrote over the entrance to the Academy “Let no-one ignorant of geometry enter here.” But it is a well-chosen motto for his view in the Republic that mathematical training is especially productive of understanding in abstract realms, notably ethics. That view is sound and we should return to it. Ethical theory has been bedevilled by the idea that ethics is fundamentally about actions (right and wrong, rights, duties, virtues, dilemmas and so on). That (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • The Epistemology of Modality and the Problem of Modal Epistemic Friction.Anand Jayprakash Vaidya & Michael Wallner - 2018 - Synthese 198 (Suppl 8):1909-1935.
    There are three theories in the epistemology of modality that have received sustained attention over the past 20 years : conceivability-theory, counterfactual-theory, and deduction-theory. In this paper we argue that all three face what we call the problem of modal epistemic friction. One consequence of the problem is that for any of the three accounts to yield modal knowledge, the account must provide an epistemology of essence. We discuss an attempt to fend off the problem within the context of the (...)
    Download  
     
    Export citation  
     
    Bookmark   10 citations  
  • New Directions in the Epistemology of Modality: Introduction.Antonella Mallozzi - 2019 - Synthese:1-19.
    The fourteen papers in this collection offer a variety of original contributions to the epistemology of modality. In seeking to explain how we might account for our knowledge of possibility and necessity, they raise some novel questions, develop some unfamiliar theoretical perspectives, and make some intriguing proposals. Collectively, they advance our understanding of the field. In Part I of this Introduction, I give some general background about the contemporary literature in the area, by sketching a timeline of the main tendencies (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Special Issue of Synthese on New Directions in the Epistemology of Modality: Introduction.Antonella Mallozzi - 2019 - Synthese 198 (Suppl 8):1841-1859.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Peter Olen: Wilfrid Sellars and the Foundations of Normativity.Catherine Legg - 2019 - Journal for the History of Analytical Philosophy 7 (3).
    Commentary on Peter Olen's book "Wilfrid Sellars and the Foundations of Normativity", originally prepared for an 'Author Meets Critics' session organized by Carl Sachs for the Eastern Division Meeting of the APA in Savannah, Georgia, on 5th January, 2018.
    Download  
     
    Export citation  
     
    Bookmark  
  • Emergentism as an Option in the Philosophy of Religion: Between Materialist Atheism and Pantheism.James Franklin - 2019 - Suri: Journal of the Philosophical Association of the Philippines 7 (2):1-22.
    Among worldviews, in addition to the options of materialist atheism, pantheism and personal theism, there exists a fourth, “local emergentism”. It holds that there are no gods, nor does the universe overall have divine aspects or any purpose. But locally, in our region of space and time, the properties of matter have given rise to entities which are completely different from matter in kind and to a degree god-like: consciousnesses with rational powers and intrinsic worth. The emergentist option is compared (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account.Philipp Berghofer - 2020 - Philosophia Mathematica 28 (2):204-235.
    ABSTRACT The aim of this paper is to establish a phenomenological mathematical intuitionism that is based on fundamental phenomenological-epistemological principles. According to this intuitionism, mathematical intuitions are sui generis mental states, namely experiences that exhibit a distinctive phenomenal character. The focus is on two questions: what does it mean to undergo a mathematical intuition and what role do mathematical intuitions play in mathematical reasoning? While I crucially draw on Husserlian principles and adopt ideas we find in phenomenologically minded mathematicians such (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Conceivability and the Epistemology of Modality.Asger Bo Skjerning Steffensen - 2015 - Dissertation, Aarhus University
    The dissertation is in the format of a collection of several academic texts, composed of a two-part presentation and three papers on the topic of conceivability and the epistemology of modality. The presentation is composed of, first, a general introduction to conceivability theses and objections and, second, a discussion of two cases. Following the presentation, Asger provides three papers. The first paper, Pretense and Conceivability: A reply to Roca-Royes, presents a problem and a dilemma for Roca-Royes’ Non-Standard Dilemma for conceivability-based (...)
    Download  
     
    Export citation  
     
    Bookmark