Conventionalism

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Conventionalism is the philosophical attitude that fundamental principles of a certain kind are grounded on (explicit or implicit) agreements in society, rather than on external reality. Although this attitude is commonly held with respect to the rules of grammar and the principles of etiquette, its application to the propositions of law, ethics, science, mathematics, and logic is more controversial.

The French mathematician Henri Poincare was among the first to articulate a conventionalist view. Poincare's use of non-Euclidean geometries in his work on differential equations convinced him that Euclidean geometry should not be regarded as a priori truth. He held that axioms in geometry should be chosen for the results they produce, not for their apparent coherence with human intuitions about the physical world.

The French philosopher Pierre Duhem espoused a broader conventionalist view encompassing all of science. Duhem was skeptical that human perceptions are sufficient to understand the "true," metaphysical nature of reality and argued that scientific laws should be valued mainly for their predictive power and correspondence with observations.

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