Why inference to the best explanation doesn’t secure empirical grounds for mathematical platonism
Sign Up to like & getrecommendations! Published in 2018 at "Synthese"
DOI: 10.1007/s11229-018-02043-2
Abstract: Proponents of the explanatory indispensability argument for mathematical platonism maintain that claims about mathematical entities play an essential explanatory role in some of our best scientific explanations. They infer that the existence of mathematical entities… read more here.
Keywords: best explanation; mathematical platonism; inference best; mathematical entities ... See more keywords
How can transforming representation of mathematical entities help us employ more cognitive resources?
Sign Up to like & getrecommendations! Published in 2023 at "Frontiers in Psychology"
DOI: 10.3389/fpsyg.2023.1091678
Abstract: This article discusses the cognitive process of transforming one representation of mathematical entities into another representation. This process, which has been called mathematical metaphor, allows us to understand and embody a difficult-to-understand mathematical entity in… read more here.
Keywords: strength; representation mathematical; curve; mathematical entities ... See more keywords