The Philosophy of Mathematics (eBook, ePUB)

"A True Definition of Mathematics"

Redaktion: Ukray, Murat / Übersetzer: Gillespie, W. M.

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In The philosophy of mathematics, mathematics employee classification efforts to understand the philosophy is the branch. The main question is related to the source of the object that is the subject of mathematics and mathematics. In particular examine the characteris-tics of a true proposition: . What are the sources of mathematical subject matter? . What is about the meaning of a mathematical object? . What is the nature of a mathematical proposition? . What is the relationship between logic and mathematics? . What is the role of mathematics hermene...

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Auguste Comte (1798 1857), better known as Auguste Comte was a French philosopher. He was a founder of the discipline of sociology and of the doctrine of positivism. He is sometimes regarded as the first philosopher of science in the modern sense of the term. Influenced by the utopian socialist Henri Saint-Simon, Comte developed thepositive philosophy in an attempt to remedy the social malaise of the French Revolution, calling for a new social doctrine based on the sciences. Comte was a major influence on 19th-century thought, influencing the work of social thinkers such as Karl Marx, John Stuart Mill, and George Eliot. His concept of Sociologie and social evolutionism set the tone for early social theorists and anthropologists such as Harriet Martineau and Herbert Spencer, evolving into modern academic sociology presented by Émile Durkheim as practical and objective social research.Comte's social theories culminated in the "Religion of Humanity", which influenced the development of religious humanist and secular humanist organizations in the 19th century. Comte likewise coined the word altruisme (altruism).Auguste Comte was born in Montpellier, Hérault on 19 January 1798. After attending the Lycée Joffre and then theUniversity of Montpellier, Comte was admitted to the École Polytechnique in Paris. The École Polytechnique was notable for its adherence to the French ideals of republicanism and progress. The École closed in 1816 for reorganization, however, and Comte continued his studies at the medical school at Montpellier. When the École Polytechnique reopened, he did not request readmission.Following his return to Montpellier, Comte soon came to see unbridgeable differences with his Catholic and monarchist family and set off again for Paris, earning money by small jobs. In August 1817 he found an apartment at 36 rue Bonaparte in Paris (where he lived until 1822) and later that year he became a student and secretary to Henri de Saint-Simon, who brought Comte into contact with intellectual society and greatly influenced his thought therefrom. During that time Comte published his first essays in the various publications headed by Saint-Simon, L'Industrie, Le Politique, and L'Organisateur (Charles Dunoyerand Charles Comte's Le Censeur Européen), although he would not publish under his own name until 1819's "La séparation générale entre les opinions et les désirs" ("The general separation of opinions and desires"). In 1824, Comte left Saint-Simon, again because of unbridgeable differences. Comte published a Plan de travaux scientifiques nécessaires pour réorganiser la société (1822) (Plan of scientific studies necessary for the reorganization of society). But he failed to get an academic post. His day-to-day life depended on sponsors and financial help from friends. Debates rage as to how much Comte appropriated the work of Saint-Simon.Comte married Caroline Massin in 1825. In 1826, he was taken to a mental health hospital, but left without being cured only stabilized by French alienist Jean-Étienne Dominique Esquirol so that he could work again on his plan (he would later attempt suicide in 1827 by jumping off the Pont des Arts). In the time between this and their divorce in 1842, he published the six volumes of his Cours.Comte also developed a close friendship with John Stuart Mill. From 1844, he fell deeply in love with the Catholic Clotilde de Vaux, although because she was not divorced from her first husband their love was never consummated. After her death in 1846 this love became quasi-religious, and Comte, working closely with Mill (who was refining his own such system) developed a new "Religion of Humanity". John Kells Ingram, an adherent of Comte, visited him in Paris in 1855.He published four volumes of Système de politique positive (18511854). His final work, the first volume of "La Synthèse Subjective" ("The Subjective Synthesis"), was published in 1856.