Francisco Sánchez and the Quaestio de certitudine mathematicarum: A sceptical approach

•Scepticism philosophical thought also questioned the status of mathematical certitude.•Christopher Clavius stressed the anti-sceptical function of mathematics, and Francisco Sánchez offered a refutation in a letter of 1589.•Artifacts and senses support the certainty of mathematics, according to Sán...

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Published inEndeavour (New series) Vol. 46; no. 4; p. 100848
Main Author Velilla-Jiménez, Helbert E.
Format Journal Article
LanguageEnglish
Published England Elsevier Ltd 01.12.2022
Elsevier
Subjects
Certainty
Francisco Sánchez
History, 16th Century
Humanities and Social Sciences
Humans
Mathematics
Mathematics - history
Philosophy
Quaestio de certitudine mathematicarum
Scepticism
Francisco Sánchez
Mathematics
Quaestio de certitudine mathematicarum
Certainty
Scepticism
Online AccessGet full text

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Abstract •Scepticism philosophical thought also questioned the status of mathematical certitude.•Christopher Clavius stressed the anti-sceptical function of mathematics, and Francisco Sánchez offered a refutation in a letter of 1589.•Artifacts and senses support the certainty of mathematics, according to Sánchez.•Conjectural empiricism could be applied to mathematical knowledge.•Clavius’sProlegomenaare crucial to analyzing Sánchez's position on the certainty of mathematics. In this paper I analyse Francisco Sánchez’s role in the Quaestio de certitudine mathematicarum debate. Despite some studies on the philosophical and medical scepticism of Sánchez and, his extant letter with Christopher Clavius, a participant in the debate, we have few analyses about Sánchez’s position regarding the certainty of mathematics. Sánchez discussed some problems that Clavius analysed in his Prolegomena to propose an empirical basis for mathematics through a questioning of its certainty. I will trace the conceptual connections between Sánchez’s 1589 letter to Clavius and the Quaestio debate, to introduce Sánchez’s sceptical approach to analysing the certainty of mathematics.
AbstractList In this paper I analyse Francisco Sánchez's role in the Quaestio de certitudine mathematicarum debate. Despite some studies on the philosophical and medical scepticism of Sánchez and, his extant letter with Christopher Clavius, a participant in the debate, we have few analyses about Sánchez's position regarding the certainty of mathematics. Sánchez discussed some problems that Clavius analysed in his Prolegomena to propose an empirical basis for mathematics through a questioning of its certainty. I will trace the conceptual connections between Sánchez's 1589 letter to Clavius and the Quaestio debate, to introduce Sánchez's sceptical approach to analysing the certainty of mathematics.
In free access: https://reader.elsevier.com/reader/sd/pii/S0160932722000485?token=2B759A1CA302DFAAC3368DF3AD1EDC81448CD263E58CD9DD835330A0355E92C52F19C573C22F162EA2671C63AE922CC4&originRegion=us-east-1&originCreation=20221227130427
•Scepticism philosophical thought also questioned the status of mathematical certitude.•Christopher Clavius stressed the anti-sceptical function of mathematics, and Francisco Sánchez offered a refutation in a letter of 1589.•Artifacts and senses support the certainty of mathematics, according to Sánchez.•Conjectural empiricism could be applied to mathematical knowledge.•Clavius’sProlegomenaare crucial to analyzing Sánchez's position on the certainty of mathematics. In this paper I analyse Francisco Sánchez’s role in the Quaestio de certitudine mathematicarum debate. Despite some studies on the philosophical and medical scepticism of Sánchez and, his extant letter with Christopher Clavius, a participant in the debate, we have few analyses about Sánchez’s position regarding the certainty of mathematics. Sánchez discussed some problems that Clavius analysed in his Prolegomena to propose an empirical basis for mathematics through a questioning of its certainty. I will trace the conceptual connections between Sánchez’s 1589 letter to Clavius and the Quaestio debate, to introduce Sánchez’s sceptical approach to analysing the certainty of mathematics.
ArticleNumber 100848
Author Velilla-Jiménez, Helbert E.
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10.3406/befar.1999.1252
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Issue 4
Keywords Francisco Sánchez
Mathematics
Quaestio de certitudine mathematicarum
Certainty
Scepticism
Language English
License This is an open access article under the CC BY-NC-ND license.
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Snippet •Scepticism philosophical thought also questioned the status of mathematical certitude.•Christopher Clavius stressed the anti-sceptical function of...
In this paper I analyse Francisco Sánchez's role in the Quaestio de certitudine mathematicarum debate. Despite some studies on the philosophical and medical...
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StartPage 100848
SubjectTerms Certainty
Francisco Sánchez
History, 16th Century
Humanities and Social Sciences
Humans
Mathematics
Mathematics - history
Philosophy
Quaestio de certitudine mathematicarum
Scepticism
Title Francisco Sánchez and the Quaestio de certitudine mathematicarum: A sceptical approach
URI https://dx.doi.org/10.1016/j.endeavour.2022.100848
https://www.ncbi.nlm.nih.gov/pubmed/36577222
https://search.proquest.com/docview/2759266850
https://ens.hal.science/hal-03952332
Volume 46
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