A study of mathematical determination through Bertrand’s Paradox

Davide Rizza

doi:10.1093/philmat/nkx035

A study of mathematical determination through Bertrand’s Paradox

Davide Rizza

Philosophy

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

35 Downloads (Pure)

Abstract

Certain mathematical problems prove very hard to solve because some of their intuitive features have not been assimilated or cannot be assimilated by the available mathematical resources. This state of affairs triggers an interesting dynamic whereby the introduction of novel conceptual resources converts the intuitive features into further mathematical determinations in light of which a solution to the original problem is made accessible. I illustrate this phenomenon through a study of Bertrand’s paradox

Original language	English
Pages (from-to)	375–395
Number of pages	21
Journal	Philosophia Mathematica
Volume	26
Issue number	3
Early online date	16 Dec 2017
DOIs	https://doi.org/10.1093/philmat/nkx035
Publication status	Published - 1 Oct 2018

Access to Document

10.1093/philmat/nkx035Licence: CC BY

Accepted manuscriptAccepted author manuscript, 296 KBLicence: Unspecified
philmat_nkx035Final published version, 363 KBLicence: CC BY

Davide Rizza
- D.Rizzauea.acuk
- School of Politics, Philosophy and Area Studies - Associate Professor in Philosophy
- Philosophy - Member
Person: Academic, Teaching & Research

Cite this

@article{7d9bb01770b84f0fb9b4313793e5828a,

title = "A study of mathematical determination through Bertrand{\textquoteright}s Paradox",

abstract = "Certain mathematical problems prove very hard to solve because some of their intuitive features have not been assimilated or cannot be assimilated by the available mathematical resources. This state of affairs triggers an interesting dynamic whereby the introduction of novel conceptual resources converts the intuitive features into further mathematical determinations in light of which a solution to the original problem is made accessible. I illustrate this phenomenon through a study of Bertrand{\textquoteright}s paradox",

author = "Davide Rizza",

year = "2018",

month = oct,

day = "1",

doi = "10.1093/philmat/nkx035",

language = "English",

volume = "26",

pages = "375–395",

journal = "Philosophia Mathematica",

issn = "0031-8019",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - A study of mathematical determination through Bertrand’s Paradox

AU - Rizza, Davide

PY - 2018/10/1

Y1 - 2018/10/1

N2 - Certain mathematical problems prove very hard to solve because some of their intuitive features have not been assimilated or cannot be assimilated by the available mathematical resources. This state of affairs triggers an interesting dynamic whereby the introduction of novel conceptual resources converts the intuitive features into further mathematical determinations in light of which a solution to the original problem is made accessible. I illustrate this phenomenon through a study of Bertrand’s paradox

AB - Certain mathematical problems prove very hard to solve because some of their intuitive features have not been assimilated or cannot be assimilated by the available mathematical resources. This state of affairs triggers an interesting dynamic whereby the introduction of novel conceptual resources converts the intuitive features into further mathematical determinations in light of which a solution to the original problem is made accessible. I illustrate this phenomenon through a study of Bertrand’s paradox

U2 - 10.1093/philmat/nkx035

DO - 10.1093/philmat/nkx035

M3 - Article

VL - 26

SP - 375

EP - 395

JO - Philosophia Mathematica

JF - Philosophia Mathematica

SN - 0031-8019

IS - 3

ER -

A study of mathematical determination through Bertrand’s Paradox

Abstract

Access to Document

Profiles

Davide Rizza

Cite this