Thin Objects Are Not Transparent

In this short paper, we analyse whether assuming that mathematical objects are “thin” in Linnebo's sense simplifies the epistemology of mathematics. Towards this end, we introduce the notion of transparency and show that not all thin objects are transparent. We end by arguing that, far from bei...

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Veröffentlicht in:Theoria (Lund, Sweden) Sweden), 2023-06, Vol.89 (3), p.314-325
Hauptverfasser: Plebani, Matteo, San Mauro, Luca, Venturi, Giorgio
Format: Artikel
Sprache:eng
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Zusammenfassung:In this short paper, we analyse whether assuming that mathematical objects are “thin” in Linnebo's sense simplifies the epistemology of mathematics. Towards this end, we introduce the notion of transparency and show that not all thin objects are transparent. We end by arguing that, far from being a weakness of thin objects, the lack of transparency of some thin objects is a fruitful characteristic mark of mathematics.
ISSN:0040-5825
1755-2567
DOI:10.1111/theo.12373