During the first months of 1887, while completing the drafts of his Mitteilungen zur Lehre vom Transfiniten, Georg Cantor maintained a continuous correspondence with Benno Kerry. Their exchange essentially concerned two main topics in the philosophy of mathematics, namely, (a) the concept of natural number and (b) the infinitesimals. Cantor's and Kerry's positions turned out to be irreconcilable, mostly because of Kerry's irremediably psychologistic outlook, according to Cantor at least. In this study, I will examine and reconstruct the main points in the discussion around (a) and (b) and stress some interesting aspects of the philosophical and mathematical thought of Benno Kerry.
Natural Numbers and Infinitesimals:A Discussion between Benno Kerry and Georg Cantor
Proietti;Carlo
2008
Abstract
During the first months of 1887, while completing the drafts of his Mitteilungen zur Lehre vom Transfiniten, Georg Cantor maintained a continuous correspondence with Benno Kerry. Their exchange essentially concerned two main topics in the philosophy of mathematics, namely, (a) the concept of natural number and (b) the infinitesimals. Cantor's and Kerry's positions turned out to be irreconcilable, mostly because of Kerry's irremediably psychologistic outlook, according to Cantor at least. In this study, I will examine and reconstruct the main points in the discussion around (a) and (b) and stress some interesting aspects of the philosophical and mathematical thought of Benno Kerry.| Campo DC | Valore | Lingua |
|---|---|---|
| dc.authority.ancejournal | HISTORY AND PHILOSOPHY OF LOGIC | - |
| dc.authority.orgunit | Istituto di linguistica computazionale "Antonio Zampolli" - ILC | - |
| dc.authority.people | Proietti | it |
| dc.authority.people | Carlo | it |
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| dc.contributor.appartenenza | Istituto di linguistica computazionale "Antonio Zampolli" - ILC | * |
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| dc.date.accessioned | 2024/02/21 09:32:56 | - |
| dc.date.available | 2024/02/21 09:32:56 | - |
| dc.date.issued | 2008 | - |
| dc.description.abstracteng | During the first months of 1887, while completing the drafts of his Mitteilungen zur Lehre vom Transfiniten, Georg Cantor maintained a continuous correspondence with Benno Kerry. Their exchange essentially concerned two main topics in the philosophy of mathematics, namely, (a) the concept of natural number and (b) the infinitesimals. Cantor's and Kerry's positions turned out to be irreconcilable, mostly because of Kerry's irremediably psychologistic outlook, according to Cantor at least. In this study, I will examine and reconstruct the main points in the discussion around (a) and (b) and stress some interesting aspects of the philosophical and mathematical thought of Benno Kerry. | - |
| dc.description.affiliations | Univ Paris 01; Univ Pisa | - |
| dc.description.allpeople | Proietti; Carlo | - |
| dc.description.allpeopleoriginal | Proietti, Carlo | - |
| dc.description.fulltext | none | en |
| dc.description.numberofauthors | 1 | - |
| dc.identifier.doi | 10.1080/01445340802025768 | - |
| dc.identifier.isi | WOS:000260325800003 | - |
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| dc.language.iso | eng | - |
| dc.relation.firstpage | 343 | - |
| dc.relation.issue | 4 | - |
| dc.relation.lastpage | 359 | - |
| dc.relation.numberofpages | 17 | - |
| dc.relation.volume | 29 | - |
| dc.subject.keywords | history of mathematics | - |
| dc.subject.keywords | history of logic | - |
| dc.subject.keywords | Frege | - |
| dc.subject.keywords | infinitesimals | - |
| dc.subject.keywords | natural numbers | - |
| dc.subject.keywords | Benno Kerry | - |
| dc.subject.singlekeyword | history of mathematics | * |
| dc.subject.singlekeyword | history of logic | * |
| dc.subject.singlekeyword | Frege | * |
| dc.subject.singlekeyword | infinitesimals | * |
| dc.subject.singlekeyword | natural numbers | * |
| dc.subject.singlekeyword | Benno Kerry | * |
| dc.title | Natural Numbers and Infinitesimals:A Discussion between Benno Kerry and Georg Cantor | en |
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| isi.description.abstracteng | During the first months of 1887, while completing the drafts of his Mitteilungen zur Lehre vom Transfiniten, Georg Cantor maintained a continuous correspondence with Benno Kerry. Their exchange essentially concerned two main topics in the philosophy of mathematics, namely, (a) the concept of natural number and (b) the infinitesimals. Cantor's and Kerry's positions turned out to be irreconcilable, mostly because of Kerry's irremediably psychologistic outlook, according to Cantor at least. In this study, I will examine and reconstruct the main points in the discussion around (a) and (b) and stress some interesting aspects of the philosophical and mathematical thought of Benno Kerry. | * |
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| scopus.description.abstracteng | During the first months of 1887, while completing the drafts of his Mitteilungen zur Lehre vom Transfiniten, Georg Cantor maintained a continuous correspondence with Benno Kerry. Their exchange essentially concerned two main topics in the philosophy of mathematics, namely, (a) the concept of natural number and (b) the infinitesimals. Cantor's and Kerry's positions turned out to be irreconcilable, mostly because of Kerry's irremediably psychologistic outlook, according to Cantor at least. In this study, I will examine and reconstruct the main points in the discussion around (a) and (b) and stress some interesting aspects of the philosophical and mathematical thought of Benno Kerry. | * |
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| scopus.title | Natural numbers and infinitesimals: A discussion between Benno Kerry and Georg Cantor | * |
| scopus.titleeng | Natural numbers and infinitesimals: A discussion between Benno Kerry and Georg Cantor | * |
| Appare nelle tipologie: | 01.01 Articolo in rivista | |
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