Dall' analisi matematica al calcolo geometrico: origini delle prime ricerche di logica di peano

Bottazzini, Umberto

doi:10.1080/01445348508837075

Cited by 6 publications

(1 citation statement)

References 14 publications

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“…2. For a more detailed discussion, including the background of Peano's development, see [Bottazzini 1985].…”

Section: Introductionmentioning

confidence: 99%

Peano on Symbolization, Design Principles for Notations, and the Dot Notation

Schlimm¹

2021

philosophiascientiae

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Peano a été l'une des forces motrices dans le développement du formalisme mathématique actuel. Dans cet article, nous étudions son approche particulière de la conception notationnelle et présentons quelques caractéristiques originales de ses notations. Pour motiver l'approche de Peano, nous présentons d'abord sa vision de la logique comme méthode d'analyse et son désir d'un symbolisme rigoureux et concis pour représenter les idées mathématiques. Sur la base à la fois de sa pratique et de ses réflexions explicites sur les notations, nous discutons des principes qui ont guidé Peano dans l'introduction de nouveaux symboles, le choix des caractères et la mise en forme des formules. Enfin, nous examinons de plus près, d'un point de vue systématique et historique, l'une des innovations les plus marquantes de Peano, à savoir l'usage de points pour regrouper des sous-formules.

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“…2. For a more detailed discussion, including the background of Peano's development, see [Bottazzini 1985].…”

Section: Introductionmentioning

confidence: 99%

Peano on Symbolization, Design Principles for Notations, and the Dot Notation

Schlimm¹

2021

philosophiascientiae

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Dubbiezze e controversie: II dibattito su logica e probabilitá in Italia nei primi anni del Novecento

Benzi

1995

Historia Mathematica

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The years between the two World Wars seem to have been a "golden age" in research on the foundations of probability in Italy. By analyzing publications dating from 1900 to 1915, the present article uncovers an interest in the foundational problems of probability, a conviction that logic would play a role in resolving these problems, and varying conceptions of logic, all of which predate and serve as an historical foundation for this "golden age."

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Peano’s Geometry: From Empirical Foundations to Abstract Development

Bertran San-Millán

2023

Vienna Circle Institute Yearbook

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Dall' analisi matematica al calcolo geometrico: origini delle prime ricerche di logica di peano

Cited by 6 publications

References 14 publications

Peano on Symbolization, Design Principles for Notations, and the Dot Notation

Peano on Symbolization, Design Principles for Notations, and the Dot Notation

Dubbiezze e controversie: II dibattito su logica e probabilitá in Italia nei primi anni del Novecento

Peano’s Geometry: From Empirical Foundations to Abstract Development

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