Studies in the Philosophy of Mathematics and History of Logic
Part III: Philosophy of Mathematics in Poland
Part III Philosophy of Mathematics in Poland The Philosophy of Hoene-Wroński 15th August 1803, the catholic Feast of the Assumption played a significant roˆle in the scientific biography of Hoene-Wroński (1776–1853). On that day, during a ball on the occasion of birthday of the First Consul, Wroński experienced an illumination. In remembrance of this he assumed a new name – Maria. Two problems stood in the center of Wroński’s interests: – the creation of a new philosophy – achrematic philosophy1 which overco- ming the world of things will reach the Absolute and the creation principles in order to deduce from them a logically consistent theory of the whole reality, – a profound reconstruction of the system of science, a beginning of which should be a reform of mathematics (the latter should consists of deducing all domains of mathematics from a unique general principle, namely from “the absolute law of algorithm”). We are interested here mainly in the first problem. 1. Predecessors and Contemporaries Philosophical system of Hoene-Wroński developed at the turn of the 18th and 19th centuries is usually counted as a messianistic philosophy. This philosophy was established under the influence of German thinkers such as Kant , Fichte, Schelling and Hegel. But it has various specific features making it different than German thought. It was rather spiritualistic than idealistic, it maintained the existence of a personalistic God, was convinced of the eternity of soul, of the absolute superiority of spiritual powers over the corporal ones. Hoene-Wroński...
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