[FOM] Incentives for the development of philosophical views in 19th and early 20th Centuries

[Denyer, Callum]

Hello,

I am interested to understand some viewpoints regarding the incentives for different philosophical views held about the nature of mathematics, for example logicism (Russell and Whitehead/Frege), intuitionism (Brouwer) and formalism (Hilbert). Specifically, in what ways were these different views responses to the foundational questions that had arisen in 19th Century mathematics (i.e. discovery of consistent non-euclidean geometries and development of set theory)?

Any arguments/suggested readings would greatly help in my research.

Callum
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