Philosophia Mathematica 20 (1):1-24 (2012)
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| Abstract |
Charles Peirce's diagrammatic logic — the Existential Graphs — is presented as a tool for illuminating how we know necessity, in answer to Benacerraf's famous challenge that most ‘semantics for mathematics’ do not ‘fit an acceptable epistemology’. It is suggested that necessary reasoning is in essence a recognition that a certain structure has the particular structure that it has. This means that, contra Hume and his contemporary heirs, necessity is observable. One just needs to pay attention, not merely to individual things but to how those things are related in larger structures, certain aspects of which relations force certain other aspects to be a certain way
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| Keywords | modal epistemology peirce existential graphs benacerraf necessity intuition |
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| Reprint years | 2012 |
| DOI | 10.1093/philmat/nkr005 |
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References found in this work BETA
Philosophical Investigations.Ludwig Josef Johann Wittgenstein - 1953 - New York, NY, USA: Wiley-Blackwell.
Making It Explicit: Reasoning, Representing, and Discursive Commitment.Robert Brandom - 1994 - Harvard University Press.
Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
View all 58 references / Add more references
Citations of this work BETA
The Epistemology of Modality and the Problem of Modal Epistemic Friction.Anand Jayprakash Vaidya & Michael Wallner - 2021 - Synthese 198 (Suppl 8):1909-1935.
New Directions in the Epistemology of Modality: Introduction.Antonella Mallozzi - 2021 - Synthese 198 (Suppl 8):1841-1859.
Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (3).
Discursive Habits: A Representationalist Re-Reading of Teleosemiotics.Catherine Legg - 2021 - Synthese (5-6):14751-14768.
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.
View all 6 citations / Add more citations
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