Response to Colyvan

@article{Melia2002ResponseTC,
  title={Response to Colyvan},
  author={Joseph Melia},
  journal={Mind},
  year={2002},
  volume={111},
  pages={75-80}
}
In 'Weaseling Away the Indispensability Argument' (Melia 2000) I argued that although quantification over mathematical objects may indeed be indispensable to our scientific theories, it is not always intellectually dishonest to deny the existence of some of the objects over which we quantify. I argued also that, though the postulation of mathematical objects may increase the attractiveness or utility of our scientific theories, the way in which they do so is unlike the way in which the… Expand
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According to the indispensability argument, the fact that we quantify over numbers, sets and functions in our best scientific theories gives us reason for believing that such objects exist. I examineExpand
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In this paper I examine Quine's indispensability argument, with particular emphasis on what is meant by 'indispensable'. I show that confirmation theory plays a crucial role in answering thisExpand
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Publisher Summary This chapter demonstrates the informal rigor and completeness proofs in mathematical philosophy. Informal rigor makes the analysis precise to eliminate the doubtful properties ofExpand
Mathematics and Aesthetic Considerations in Science
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