Hegel: Romanticism

The Polish philosophy of mathematics in the 19th century had its origins in the Romantic period under the influence of the then-predominant idealist philosophies. The decline of Romantic philosophy precipitated changes in general philosophy, but what is less well known is how it triggered changes in the philosophy of mathematics. In this paper, we discuss how the Polish philosophy of mathematics evolved from the metaphysical approach that had been formed during the Romantic era to the more modern positivistic paradigm. These (...) evolutionary changes are attributed to the philosophers Henryk Struve, Antoni Molicki and Julian Ochorowicz, and mathematicians Karol Hertz and Samuel Dickstein. We also show how implicit ideas (i.e., those not declared openly) from the area between the philosophy of science and general philosophy played a crucial role in the paradigm shift in the Polish philosophy of mathematics. (shrink)

Deals with Hegel's critique of Fr. Schlegel, Novalis and Schleiermacher, as representatives of ironic Romanticism.

The paper examines Hegel's review of Solger's posthumous writing and correspondence, which had recently been published. While Hegel appreciates Solger's absolute dialectic, he is critical of the un-scientific linguistic form his thought must take (literary dialogues), as revelatory of the missing middle between the infinite and the finite: the province that Hegel calls Geist.