German idealism
Neo-Kantianism refers broadly to a revived type of philosophy along the lines of that laid down by Immanuel Kant in the 18th century, or more specifically by Schopenhauer's criticism of the Kantian philosophy in his work "The World as Will and Representation" (1818), as well as by other post-Kantian philosophers such as Jakob Friedrich Fries and Johann Friedrich Herbart. It has some more specific reference in later German philosophy.
Goethean science
Immanuel Kant in Prussia undertook a major rescue operation to preserve the validity of knowledge derived via reason (science), as well as of knowledge going beyond the rational mind, that is of human liberty and of life beyond simply an expression of 'the chance whirlings of unproductive particles' (Coleridge). Kant's writings had an immediate and major impact on Western philosophy and triggered a philosophical movement known as German idealism (Fichte, Hegel, Schelling), which sought to overcome and transcend the chasm Kant had formalized between the sense-based and the super-sensible worlds, in his attempt to 'save the appearances' (Owen Barfield), that is, to preserve the validity of scientific or rational knowledge as well as that of faith.