indispensability argument

philosophy of mathematics

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July 17, 2026

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The indispensability argument in the philosophy of mathematics posits that mathematical truths must exist because they are essential to our most successful scientific theories. This argument suggests that if we accept the truth of scientific theories, we must also accept the existence of the mathematical entities they rely on.1

This view is often contrasted with fictionalism, which argues that mathematical statements are useful fictions rather than literal truths. However, proponents of the indispensability argument contend that mathematics is so deeply integrated into scientific explanations that it cannot be separated from them, making it indispensable for understanding the world.1

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philosophy of mathematics
The Fregean argument for Platonism
According to the indispensability argument, well-established mathematical theorems must be true because they are inextricably woven into the empirical theories that have been developed and accepted in the natural sciences, and there are good reasons to think that these empirical theories are true. (This argument has roots in…
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According to the indispensability argument, well-established mathematical theorems must be true because they are inextricably woven into the empirical theories that have been developed and accepted in the natural sciences, and there are good reasons to think that these empirical theories are true. (This argument has roots in…
Read More