# Living in Harmony: Nominalism and the Explanationist Argument for Realism

@article{Saatsi2007LivingIH, title={Living in Harmony: Nominalism and the Explanationist Argument for Realism}, author={J. Saatsi}, journal={International Studies in the Philosophy of Science}, year={2007}, volume={21}, pages={19 - 33} }

According to the indispensability argument, scientific realists ought to believe in the existence of mathematical entities, due to their indispensable role in theorising. Arguably the crucial sense of indispensability can be understood in terms of the contribution that mathematics sometimes makes to the super‐empirical virtues of a theory. Moreover, the way in which the scientific realist values such virtues, in general, and draws on explanatory virtues, in particular, ought to make the realist… Expand

#### 19 Citations

Scientific Realism and the Indispensability Argument for Mathematical Realism: A Marriage Made in Hell

- Sociology
- 2011

An emphasis on explanatory contribution is central to a recent formulation of the indispensability argument (IA) for mathematical realism. Because scientific realism is argued for by means of… Expand

ANTI-NOMINALISTIC SCIENTIFIC REALISM : A DEFENCE

- 2011

Philosophy of science proper has been a battleground in which a key battle in the philosophy of mathematics is fought. On the one hand, indispensability arguments capitalise on the strengths of… Expand

On the ‘Indispensable Explanatory Role’ of Mathematics

- Philosophy
- 2016

The literature on the indispensability argument for mathematical realism often refers to the ‘indispensable explanatory role’ of mathematics. I argue that we should examine the notion of explanatory… Expand

On Mathematics’ ‘Indispensable Explanatory Role’∗

- 2014

The literature on the indispensability argument for mathematical realism often refers to mathematics’ ‘indispensable explanatory role.’ I argue that we should examine the notion of explanatory… Expand

Is the Indispensability Argument Dispensable

- Philosophy
- 2011

When the indispensability argument for mathematical entities (IA) is spelled out, it would appear confirmational holism is needed for the argument to work. It has been argued that confirmational… Expand

Indispensability and the problem of compatible explanations

- Philosophy, Computer Science
- Synthese
- 2015

It is argued that IBE cannot establish that any particular mathematical entity is indispensable, and nominalists can rebut the EIA while still accepting Baker’s form of IBE. Expand

The Explanatory Indispensability of Mathematics: Why Structure is 'What There Is'

- Mathematics
- 2013

Inference to the best explanation (IBE) is the principle of inference according to which, when faced with a set of competing hypotheses, where each hypothesis is empirically adequate for explaining… Expand

Scientific Realism meets Metaphysics of Quantum Mechanics

- Philosophy
- 2017

I examine the epistemological debate on scientific realism in the context of quantum mechanics (QM), focusing on the empirical underdetermination of different formulations (and interpretations) of… Expand

Mathematical Explanation in Science

- Philosophy
- The British Journal for the Philosophy of Science
- 2009

Does mathematics ever play an explanatory role in science? If so then this opens the way for scientific realists to argue for the existence of mathematical entities using inference to the best… Expand

Discussion : The Enhanced Indispensability Argument : Representational vs . Explanatory Role of Mathematics in Science

- 2014

The Enhanced Indispensability Argument (Baker [2009]) exemplifies the new wave of the indispensability argument for mathematical Platonism. The new wave capitalises on mathematics’ role in scientific… Expand

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