# On the Explanatory Role of Mathematics in Empirical Science

@inproceedings{Batterman2008OnTE, title={On the Explanatory Role of Mathematics in Empirical Science}, author={Robert W. Batterman}, year={2008} }

- Published 2008

This paper examines contemporary attempts to explicate the explanatory role of mathematics in the physical sciences. Most such approaches involve developing so-called mapping accounts of the relationships between the physical world and mathematical structures. The paper argues that the use of idealizations in physical theorizing poses serious difficulties for such mapping accounts. An new approach to the applicability of mathematics is proposed. Robert W. Batterman∗ University of Western… CONTINUE READING

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#### References

##### Publications referenced by this paper.

Showing 1-10 of 36 references

## Are there Genuine Mathematical Explanations of Physical Phenomena ?

View 4 Excerpts

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## Galilean idealization

View 3 Excerpts

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## Thermodynamics taken seriously: Emergent phase transitions

View 1 Excerpt

## A role for mathematics in the physical sciences

## Batterman . On the specialness of special functions ( the nonrandom effusions of the divine mathematician )

## Mathematical idealization

## Ineliminable Idealizations, Phase Transitions, and Irreversibility

View 1 Excerpt