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Prior to 1735, South America was terra incognita to many Europeans. But that year, the Paris Academy of Sciences sent a mission to the Spanish American province of Quito (in present-day Ecuador) to study the curvature of the earth at the Equator. Equipped with quadrants and telescopes, the mission’s participants referred to the transfer of scientific knowledge from Europe to the Andes as a “sacred fire” passing mysteriously through European astronomical instruments to observers in South America.By taking an innovative interdisciplinary look at the traces of this expedition, Measuring the New World examines the transatlantic flow of knowledge from West to East. Through ephemeral monuments and geographical maps, this book explores how the social and cultural worlds of South America contributed to the production of European scientific knowledge during the Enlightenment. Neil Safier uses the notebooks of traveling philosophers, as well as specimens from the expedition, to place this particular scientific endeavor in the larger context of early modern print culture and the emerging intellectual category of scientist as author.
While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.
Cognitive Justice in a Global World: Prudent Knowledges for a Decent Life is an edited collection that springs from the now dormant debates known as 'The Science Wars,' which questioned the nature of scientific theories. Learning from the debates about the plurality of truths and opinions, editor Boaventura de Sousa Santos has realized an opportunity for strengthening the relations between the natural and social sciences with more epistemological affinities and for opening up new transnational dialogues between scientists and other producers of knowledge. This book analyses in detail some of the topics that amount to a set of problematic relations between science and ethics; between objectivity and neutrality; between the sociological and theoretical condition of production and the limits of scientific rigor; between public faith in science and the economic powers that determine scientific priorities; and between science and other kinds of knowledge existing in society. Maintaining that global social injustice is by and large epistemological injustice and that there can be no global social justice without global cognitive justice, Cognitive Justice in a Global World is an important collection for higher-level students and researchers in the social sciences, philosophy of science, and intellectual history.