TY  - JOUR
AU  - Bojanić, Petar D.
AU  - Todorović, Sanja
PY  - 2016
UR  - http://rifdt.instifdt.bg.ac.rs/123456789/345
AB  - Our topic is the understanding of the nature of negative numbers – the entities to which expressions such as ‘-1’ refer. Following Frege, we view positive whole numbers as providing the answer to the question „how many?“ In this light, how are we to view negative numbers? Both positive and negative numbers can be ordered through the relation of larger or smaller. It is then true of all negative numbers that they are entities which are (somehow) smaller than zero. For many, this has been understood as an ontological paradox: how can something be „less than nothing?“ Some propose to avoid the paradox by treating negative numbers as mere façons de parler. In this paper, we propose a more realist account, taking as our starting point the thesis that there is at least one familiar type of object, the magnitude of which can be expressed with negative numbers, namely, debt. How can the sense of an expression be ontologically paradoxical, yet the expression itself still plausibly refer to a social object such as a debt? Or, put differently, how is it possible to be, at the same time, a realist in financial theory and a nominalist in mathematical theory? The paper first shows that the paradox arises when the two distinct ways in which negative numbers are connected to real objects are run together. The first of the two refers to debt only, whereas the second could refer to debt, as well as to physical objects. Finally, we claim that a debt is at once a specifically social object and part of reality as described by physics.
PB  - Beograd : Institut za filozofiju i društvenu teoriju
T2  - Filozofija i društvo/Philosophy and Society
T1  - Realism’s Understanding of Negative Numbers
SP  - 131
EP  - 136
DO  - 10.2298/FID1601131B
ER  - 

@article{
author = "Bojanić, Petar D. and Todorović, Sanja",
year = "2016",
abstract = "Our topic is the understanding of the nature of negative numbers – the entities to which expressions such as ‘-1’ refer. Following Frege, we view positive whole numbers as providing the answer to the question „how many?“ In this light, how are we to view negative numbers? Both positive and negative numbers can be ordered through the relation of larger or smaller. It is then true of all negative numbers that they are entities which are (somehow) smaller than zero. For many, this has been understood as an ontological paradox: how can something be „less than nothing?“ Some propose to avoid the paradox by treating negative numbers as mere façons de parler. In this paper, we propose a more realist account, taking as our starting point the thesis that there is at least one familiar type of object, the magnitude of which can be expressed with negative numbers, namely, debt. How can the sense of an expression be ontologically paradoxical, yet the expression itself still plausibly refer to a social object such as a debt? Or, put differently, how is it possible to be, at the same time, a realist in financial theory and a nominalist in mathematical theory? The paper first shows that the paradox arises when the two distinct ways in which negative numbers are connected to real objects are run together. The first of the two refers to debt only, whereas the second could refer to debt, as well as to physical objects. Finally, we claim that a debt is at once a specifically social object and part of reality as described by physics.",
publisher = "Beograd : Institut za filozofiju i društvenu teoriju",
journal = "Filozofija i društvo/Philosophy and Society",
title = "Realism’s Understanding of Negative Numbers",
pages = "131-136",
doi = "10.2298/FID1601131B"
}

Bojanić, P. D.,& Todorović, S.. (2016). Realism’s Understanding of Negative Numbers. in Filozofija i društvo/Philosophy and Society
Beograd : Institut za filozofiju i društvenu teoriju., 131-136.
https://doi.org/10.2298/FID1601131B

Bojanić PD, Todorović S. Realism’s Understanding of Negative Numbers. in Filozofija i društvo/Philosophy and Society. 2016;:131-136.
doi:10.2298/FID1601131B .

Bojanić, Petar D., Todorović, Sanja, "Realism’s Understanding of Negative Numbers" in Filozofija i društvo/Philosophy and Society (2016):131-136,
https://doi.org/10.2298/FID1601131B . .

TY  - JOUR
AU  - Bojanić, Petar D.
AU  - Todorović, Sanja
PY  - 2014
UR  - http://rifdt.instifdt.bg.ac.rs/123456789/211
PB  - Ljubljana : Filozofski institut ZRC SAZU
T2  - Filozofski vestnik
T1  - „Kant: dolg in nič. ʻManj od ničle (nič)’ (moins que rien; less than nothing; weniger wie Nichts“
SP  - 7
EP  - 23
UR  - https://hdl.handle.net/21.15107/rcub_rifdt_211
ER  - 

@article{
author = "Bojanić, Petar D. and Todorović, Sanja",
year = "2014",
publisher = "Ljubljana : Filozofski institut ZRC SAZU",
journal = "Filozofski vestnik",
title = "„Kant: dolg in nič. ʻManj od ničle (nič)’ (moins que rien; less than nothing; weniger wie Nichts“",
pages = "7-23",
url = "https://hdl.handle.net/21.15107/rcub_rifdt_211"
}

Bojanić, P. D.,& Todorović, S.. (2014). „Kant: dolg in nič. ʻManj od ničle (nič)’ (moins que rien; less than nothing; weniger wie Nichts“. in Filozofski vestnik
Ljubljana : Filozofski institut ZRC SAZU., 7-23.
https://hdl.handle.net/21.15107/rcub_rifdt_211

Bojanić PD, Todorović S. „Kant: dolg in nič. ʻManj od ničle (nič)’ (moins que rien; less than nothing; weniger wie Nichts“. in Filozofski vestnik. 2014;:7-23.
https://hdl.handle.net/21.15107/rcub_rifdt_211 .

Bojanić, Petar D., Todorović, Sanja, "„Kant: dolg in nič. ʻManj od ničle (nič)’ (moins que rien; less than nothing; weniger wie Nichts“" in Filozofski vestnik (2014):7-23,
https://hdl.handle.net/21.15107/rcub_rifdt_211 .

TY  - CONF
PY  - 2013
UR  - http://rifdt.instifdt.bg.ac.rs/123456789/1090
AB  - The latest world economic crisis is sometimes called the debt crisis. If this phrase, debt crisis, can at first glance be understood in the usual manner, as the crisis drags on it begins to acquire another, second, almost unexpected meaning which calls the very debt into question. This calling into question of debt subsequently reminds us that philosophy anticipated the problem at the beginning of the last decade of the previous century: “Man is no longer the prisoner of disciplinarian societies, but the indebted man of societies of control.” This is an opportunity to think about this question of debt, as well as about that which calls it into question.
T1  - Philosophical and Economic Analysis of Debt
UR  - https://hdl.handle.net/21.15107/rcub_rifdt_1090
ER  - 

@conference{
editor = "Bojanić, Petar D., Todorović, Sanja, University of Belgrade, IFDT, CELAP",
year = "2013",
abstract = "The latest world economic crisis is sometimes called the debt crisis. If this phrase, debt crisis, can at first glance be understood in the usual manner, as the crisis drags on it begins to acquire another, second, almost unexpected meaning which calls the very debt into question. This calling into question of debt subsequently reminds us that philosophy anticipated the problem at the beginning of the last decade of the previous century: “Man is no longer the prisoner of disciplinarian societies, but the indebted man of societies of control.” This is an opportunity to think about this question of debt, as well as about that which calls it into question.",
title = "Philosophical and Economic Analysis of Debt",
url = "https://hdl.handle.net/21.15107/rcub_rifdt_1090"
}

Bojanić, P. D., Todorović, S.,& University of Belgrade, I. C.. (2013). Philosophical and Economic Analysis of Debt. .
https://hdl.handle.net/21.15107/rcub_rifdt_1090

Bojanić PD, Todorović S, University of Belgrade IC. Philosophical and Economic Analysis of Debt. 2013;.
https://hdl.handle.net/21.15107/rcub_rifdt_1090 .

Bojanić, Petar D., Todorović, Sanja, University of Belgrade, IFDT, CELAP, "Philosophical and Economic Analysis of Debt" (2013),
https://hdl.handle.net/21.15107/rcub_rifdt_1090 .