Giovanni Vailati
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Giovanni Vailati
Giovanni Vailati (24 April 1863 – 14 May 1909) was an Italian proto-analytic philosopher, historian of science, and mathematician. Life Vailati was born in Crema, Lombardy, and studied engineering at the University of Turin. He went on to lecture in the history of mechanics there from 1896 to 1899, after working as assistant to Giuseppe Peano and Vito Volterra. He resigned his university post in 1899 so that he could pursue his independent studies, making a living from high-school mathematics teaching. During his lifetime he became internationally known, his writings having been translated into English, French, and Polish, though he was largely forgotten after his death in Rome. He was rediscovered in the late 1950s. He did not publish any complete books, but left about 200 essays and reviews across a range of academic disciplines. Philosophy Vailati's view of philosophy was that it provided a preparation and the tools for scientific work. For that reason, and because phil ...
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Crema, Lombardy
Crema (; Eastern Lombard, Cremasco: ) is a city and ''comune'' in the province of Cremona, in the region of Lombardy in northern Italy. It is built along the river Serio River, Serio at from Cremona. It is also the seat of the Catholic Bishop of Crema, who gave the title of city to Crema. Crema's main economic activities traditionally (since the 11th century) related to agriculture, cattle breeding and making wool, but its manufactures in later centuries include cheese, iron products and cotton and wool textiles. Crema hosts the Computer Science Department of the University of Milan. History Crema's origins have been linked to the Lombards, Lombard invasion of the 6th century CE, the name allegedly deriving from the Lombard term ''Krem'' meaning "little hill", though this is doubtful since it does not lie significantly above the surrounding countryside. Other linguistic roots may suggest an older origin, in particular the Indo-European root meaning a boundary (cf. Ukraine, crêt ...
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William James
William James (January 11, 1842 – August 26, 1910) was an American philosopher, historian, and psychologist, and the first educator to offer a psychology course in the United States. James is considered to be a leading thinker of the late 19th century, one of the most influential philosophers of the United States, and the "Father of American psychology". Along with Charles Sanders Peirce, James established the philosophical school known as pragmatism, and is also cited as one of the founders of functional psychology. A ''Review of General Psychology'' analysis, published in 2002, ranked James as the 14th most eminent psychologist of the 20th century. A survey published in ''American Psychologist'' in 1991 ranked James's reputation in second place, after Wilhelm Wundt, who is widely regarded as the founder of experimental psychology.
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Aristotle
Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of philosophy within the Lyceum and the wider Aristotelian tradition. His writings cover many subjects including physics, biology, zoology, metaphysics, logic, ethics, aesthetics, poetry, theatre, music, rhetoric, psychology, linguistics, economics, politics, meteorology, geology, and government. Aristotle provided a complex synthesis of the various philosophies existing prior to him. It was above all from his teachings that the West inherited its intellectual lexicon, as well as problems and methods of inquiry. As a result, his philosophy has exerted a unique influence on almost every form of knowledge in the West and it continues to be a subject of contemporary philosophical discussion. Little is known about his life. Aristotle was born in th ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually un ...
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Epistemology
Epistemology (; ), or the theory of knowledge, is the branch of philosophy concerned with knowledge. Epistemology is considered a major subfield of philosophy, along with other major subfields such as ethics, logic, and metaphysics. Epistemologists study the nature, origin, and scope of knowledge, epistemic justification, the rationality of belief, and various related issues. Debates in epistemology are generally clustered around four core areas: # The philosophical analysis of the nature of knowledge and the conditions required for a belief to constitute knowledge, such as truth and justification # Potential sources of knowledge and justified belief, such as perception, reason, memory, and testimony # The structure of a body of knowledge or justified belief, including whether all justified beliefs must be derived from justified foundational beliefs or whether justification requires only a coherent set of beliefs # Philosophical skepticism, which questions the possibili ...
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Psychology
Psychology is the scientific study of mind and behavior. Psychology includes the study of conscious and unconscious phenomena, including feelings and thoughts. It is an academic discipline of immense scope, crossing the boundaries between the natural and social sciences. Psychologists seek an understanding of the emergent properties of brains, linking the discipline to neuroscience. As social scientists, psychologists aim to understand the behavior of individuals and groups.Fernald LD (2008)''Psychology: Six perspectives'' (pp.12–15). Thousand Oaks, CA: Sage Publications.Hockenbury & Hockenbury. Psychology. Worth Publishers, 2010. Ψ (''psi''), the first letter of the Greek word ''psyche'' from which the term psychology is derived (see below), is commonly associated with the science. A professional practitioner or researcher involved in the discipline is called a psychologist. Some psychologists can also be classified as behavioral or cognitive scientists. Some psyc ...
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Symbolic Logic
Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics. Since its inception, mathematical logic has both contributed to and been motivated by the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and analysis. In the early 20th century it was shaped by David Hilbert's program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to the program, and clarified the issues involved in proving consistency. Work in set theory show ...
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Franz Brentano
Franz Clemens Honoratus Hermann Josef Brentano (; ; 16 January 1838 – 17 March 1917) was an influential German philosopher, psychologist, and former Catholic priest (withdrawn in 1873 due to the definition of papal infallibility in matters of Faith) whose work strongly influenced not only students Edmund Husserl, Sigmund Freud, Tomáš Masaryk, Rudolf Steiner, Alexius Meinong, Carl Stumpf, Anton Marty, Kazimierz Twardowski, and Christian von Ehrenfels, but many others whose work would follow and make use of his original ideas and concepts. Life Brentano was born at , near Boppard. He was son of Christian Brentano, brother of Lujo Brentano, and paternal nephew of Clemens Brentano and Bettina von Arnim, and of Gunda (née Brentano) and Friedrich von Savigny. He studied philosophy at the universities of Munich, Würzburg, Berlin (with Adolf Trendelenburg) and Münster. He had a special interest in Aristotle and scholastic philosophy. He wrote his dissertation in 1862 at Tübingen ...
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Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.Stanford Encyclopedia of Philosophy"Bertrand Russell" 1 May 2003. He was one of the early 20th century's most prominent logicians, and a founder of analytic philosophy, along with his predecessor Gottlob Frege, his friend and colleague G. E. Moore and his student and protégé Ludwig Wittgenstein. Russell with Moore led the British "revolt against idealism". Together with his former teacher A. N. Whitehead, Russell wrote ''Principia Mathematica'', a milestone in the development of classical logic, and a major attempt to reduce the whole ...
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George Edward Moore
George Edward Moore (4 November 1873 – 24 October 1958) was an English philosopher, who with Bertrand Russell, Ludwig Wittgenstein and earlier Gottlob Frege was among the founders of analytic philosophy. He and Russell led the turn from idealism in British philosophy and became known for advocating common-sense concepts and contributing to ethics, epistemology and metaphysics. He was said to have an "exceptional personality and moral character". Ray Monk later dubbed him "the most revered philosopher of his era". As Professor of Philosophy at the University of Cambridge, he influenced but abstained from the Bloomsbury Group. He edited the journal ''Mind''. He was a member of the Cambridge Apostles from 1894 to 1901, a fellow of the British Academy from 1918, and chaired the Cambridge University Moral Sciences Club in 1912–1944. As a humanist, he presided over the British Ethical Union (now Humanists UK) in 1935–1936. Life George Edward Moore was born in Upper Norwood, in ...
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Victoria Welby-Gregory, Lady Welby
Victoria, Lady Welby (27 April 1837 – 29 March 1912), more correctly Lady Welby-Gregory, was a self-educated British philosopher of language, musician and watercolourist. Life Welby was born to the Hon. Charles Stuart-Wortley-Mackenzie and Lady Emmeline Stuart-Wortley, and christened Victoria Alexandrina Maria Louisa Stuart-Wortley. Following the death of her father in 1844, she travelled widely with her mother, and recorded her travel experiences in her diary. When her mother died on their travels in Syria in 1855, she returned to England to stay with her grandfather, John Manners, the 5th Duke of Rutland, at Belvoir Castle. In 1858 she moved to Frogmore to live with a friend of her mother's – the Duchess of Kent, Princess Victoria of Saxe-Coburg-Saalfeld, Queen Victoria's mother. On the death of the duchess she was appointed a maid of honour to her godmother, the Queen herself. In 1863 she married Sir William Earle Welby-Gregory, 4th baronet (1829–1898), who was a ...
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