AVICENNA ON GRASPING MATHEMATICAL CONCEPTS

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AVICENNA ON GRASPING MATHEMATICAL CONCEPTS. / Zarepour, Mohammad Saleh.

In: Arabic Sciences and Philosophy, Vol. 31, No. 1, 03.03.2021, p. 95-126.

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@article{fdf288df32ce4b0a9efb2f8e98fb5787,
title = "AVICENNA ON GRASPING MATHEMATICAL CONCEPTS",
abstract = "According to Avicenna, some of the objects of mathematics exist and some do not. Every existing mathematical object is a non-sensible connotational attribute of a physical object and can be perceived by the faculty of estimation. Non-existing mathematical objects can be represented and perceived by the faculty of imagination through separating and combining parts of the images of existing mathematical objects that are previously perceived by estimation. In any case, even non-existing mathematical objects should be considered as properties of material entities. They can never be grasped as fully immaterial entities. Avicenna believes that we cannot grasp any mathematical concepts unless we first have some specific perceptual experiences. It is only through the ineliminable and irreplaceable operation of the faculties of estimation and imagination upon some sensible data that we can grasp mathematical concepts. This shows that Avicenna endorses some sort of concept empiricism about mathematics.",
author = "Zarepour, {Mohammad Saleh}",
year = "2021",
month = mar,
day = "3",
doi = "10.1017/S0957423920000090",
language = "English",
volume = "31",
pages = "95--126",
journal = "Arabic Sciences and Philosophy",
issn = "0957-4239",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - AVICENNA ON GRASPING MATHEMATICAL CONCEPTS

AU - Zarepour, Mohammad Saleh

PY - 2021/3/3

Y1 - 2021/3/3

N2 - According to Avicenna, some of the objects of mathematics exist and some do not. Every existing mathematical object is a non-sensible connotational attribute of a physical object and can be perceived by the faculty of estimation. Non-existing mathematical objects can be represented and perceived by the faculty of imagination through separating and combining parts of the images of existing mathematical objects that are previously perceived by estimation. In any case, even non-existing mathematical objects should be considered as properties of material entities. They can never be grasped as fully immaterial entities. Avicenna believes that we cannot grasp any mathematical concepts unless we first have some specific perceptual experiences. It is only through the ineliminable and irreplaceable operation of the faculties of estimation and imagination upon some sensible data that we can grasp mathematical concepts. This shows that Avicenna endorses some sort of concept empiricism about mathematics.

AB - According to Avicenna, some of the objects of mathematics exist and some do not. Every existing mathematical object is a non-sensible connotational attribute of a physical object and can be perceived by the faculty of estimation. Non-existing mathematical objects can be represented and perceived by the faculty of imagination through separating and combining parts of the images of existing mathematical objects that are previously perceived by estimation. In any case, even non-existing mathematical objects should be considered as properties of material entities. They can never be grasped as fully immaterial entities. Avicenna believes that we cannot grasp any mathematical concepts unless we first have some specific perceptual experiences. It is only through the ineliminable and irreplaceable operation of the faculties of estimation and imagination upon some sensible data that we can grasp mathematical concepts. This shows that Avicenna endorses some sort of concept empiricism about mathematics.

U2 - 10.1017/S0957423920000090

DO - 10.1017/S0957423920000090

M3 - Article

VL - 31

SP - 95

EP - 126

JO - Arabic Sciences and Philosophy

JF - Arabic Sciences and Philosophy

SN - 0957-4239

IS - 1

ER -