Giovanni Vailati
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Giovanni Vailati (24 April 1863 – 14 May 1909) was an Italian proto-
analytic philosopher Analytic philosophy is a broad movement within Western philosophy, especially English-speaking world, anglophone philosophy, focused on analysis as a philosophical method; clarity of prose; rigor in arguments; and making use of formal logic, mat ...
, historian of science, and
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
.


Life

Vailati was born in
Crema, Lombardy Crema (; ) is a city and (municipality) 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 tit ...
, and studied
engineering Engineering is the practice of using natural science, mathematics, and the engineering design process to Problem solving#Engineering, solve problems within technology, increase efficiency and productivity, and improve Systems engineering, s ...
at the
University of Turin The University of Turin (Italian language, Italian: ''Università degli Studi di Torino'', UNITO) is a public university, public research university in the city of Turin, in the Piedmont (Italy), Piedmont region of Italy. It is one of the List ...
. He went on to lecture in the history of
mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
there from 1896 to 1899, after working as assistant to
Giuseppe Peano Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much Mathematical notati ...
and
Vito Volterra Vito Volterra (, ; 3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to Mathematical and theoretical biology, mathematical biology and Integral equation, integral equations, being one of the ...
. 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 Rome (Italian language, Italian and , ) is the capital city and most populated (municipality) of Italy. It is also the administrative centre of the Lazio Regions of Italy, region and of the Metropolitan City of Rome. A special named with 2, ...
. 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 philosophy should be neutral between rival beliefs, conceptions, theoretical structures, etc., the philosopher should avoid the use of special technical language, but should use the language that he finds used in those areas in which he is interested. That is not to say that the philosopher should merely accept whatever he finds; an ordinary-language term may be problematic, but its deficiencies should be corrected rather than replacing it with some new technical term. His view of truth and meaning was influenced by philosophers such as C.S. Peirce and
Ernst Mach Ernst Waldfried Josef Wenzel Mach ( ; ; 18 February 1838 – 19 February 1916) was an Austrian physicist and philosopher, who contributed to the understanding of the physics of shock waves. The ratio of the speed of a flow or object to that of ...
. He carefully distinguished between meaning and truth: "the question of determining ''what we mean'' when we propound a given proposition is entirely different from the question of deciding ''whether it is true or false''. Nevertheless, having decided what is meant, the work of deciding whether it is true or false is crucial. Vailati held a moderate positivist view, in both science and philosophy:
"it must be demanded of anybody who advances a thesis that he be capable of indicating the facts which according to him should obtain (or have obtained) if his thesis were true, and also their difference from other facts which according to him would obtain (or have obtained) if it were not true"
Vailati's influences and contacts were many and varied, belying the oversimple label often attached to him: "the Italian pragmatist". While owing much to Peirce and
William James William James (January 11, 1842 – August 26, 1910) was an American philosopher and psychologist. The first educator to offer a psychology course in the United States, he is considered to be one of the leading thinkers of the late 19th c ...
(between whose thought he was one of the first to distinguish), he also acknowledged the influence of
Plato Plato ( ; Greek language, Greek: , ; born  BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
and
George Berkeley George Berkeley ( ; 12 March 168514 January 1753), known as Bishop Berkeley (Bishop of Cloyne of the Anglican Church of Ireland), was an Anglo-Irish philosopher, writer, and clergyman who is regarded as the founder of "immaterialism", a philos ...
(both of whom he saw as important precursors of, or influences on, pragmatism),
Gottfried Leibniz Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Isaac Newton, Sir Isaac Newton, with the creation of calculus in ad ...
, Victoria Welby-Gregory, G.E. Moore,
Bertrand Russell Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics, logic, set theory, and various areas of analytic ...
, Peano, and
Franz Brentano Franz Clemens Honoratus Hermann Josef Brentano (; ; 16 January 1838 – 17 March 1917) was a German philosopher and psychologist. His 1874 '' Psychology from an Empirical Standpoint'', considered his magnum opus, is credited with having reintrod ...
. He corresponded with many of his contemporaries. His early work included papers on
symbolic logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
, focusing on its rôle in philosophy, and distinguishing between logic and
psychology Psychology is the scientific study of mind and behavior. Its subject matter includes the behavior of humans and nonhumans, both consciousness, conscious and Unconscious mind, unconscious phenomena, and mental processes such as thoughts, feel ...
and
epistemology Epistemology is the branch of philosophy that examines the nature, origin, and limits of knowledge. Also called "the theory of knowledge", it explores different types of knowledge, such as propositional knowledge about facts, practical knowle ...
.


History of science

Vailata's main historical interests concerned mechanics,
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
, and
geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
, and he was an important contributor to a number of areas, including the study of post- Aristotelian
Greek Greek may refer to: Anything of, from, or related to Greece, a country in Southern Europe: *Greeks, an ethnic group *Greek language, a branch of the Indo-European language family **Proto-Greek language, the assumed last common ancestor of all kno ...
mechanics, of Galileo's predecessors, of the notion and rôle of
definition A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories: intensional definitions (which try to give the sense of a term), and extensional definitio ...
in the work of Plato and
Euclid Euclid (; ; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the '' Elements'' treatise, which established the foundations of geometry that largely domina ...
, of mathematical influences on logic and epistemology, and of the
non-Euclidean geometry In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean ge ...
of Gerolamo Saccheri. He was particularly interested in the ways in which what might be seen as the same problems are addressed and dealt with at different times. His historical work was interrelated with his philosophical work, involving the same fundamental views and methodology. Vailati saw the two as differing in approach rather than subject matter, and believed that there should be co-operation between philosophers and scientists in the pursuit of historical studies. He also held that a complete history demanded that one take into account the relevant social background. Of a certain interest is the participation of Vailati in the scientific activity of the chair of "Calculus infinitesimal" held by Giuseppe Peano. We are in Turin in 1892. The period is full of '' Prolusions'' and there are the emergence of disciplines such as anthropology and sociology, which have produced a new scientific concept in the nineteenth century. The ''Turin Prolusions'' (1896-1898) open the horizon to new discoveries and to the formulations of scientific theories and hypotheses concerning the relationship between science and its history. In this context there is the "questions of words", which concern language and its functioning as a means of transmitting ideas. The superseding of scientific theories and other results doesn't involve their destruction, for their importance is increased by their being superseded: "Every error shows us a rock to be avoided, while not every discovery shows us a path to be followed".Scritti, 4


See also

*
Point-pair separation In a cyclic order, such as the real projective line, two pairs of points separate each other when they occur alternately in the order. Thus the ordering ''a b c d'' of four points has (''a,c'') and (''b,d'') as separating pairs. This point-pair ...


Notes


Sources

* Giovanni Vailati (1972
Scritti filosofici
. * *
Ivor Grattan-Guinness Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic. Life Grattan-Guinness was born in Bakewell, England; his father was a mathematics teacher and educational administrator. He gained his ...
(2000) ''The Search for Mathematical Roots 1870–1940'',
Princeton University Press Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial ...
. * Ferruccio Rossi-Landi (1967) "Giovanni Vailati", in ''The Encyclopedia of Philosophy'', ed. Paul Edwards. Collier Macmillan * C. Arrighi, P. Cantù, M. De Zan and P. Suppes (editors) (2010) '' Logic and Pragmatism. Selected Essays by Giovanni Vailati'', CSLI, Stanford, California. {{DEFAULTSORT:Vailati, Giovanni 1863 births 1909 deaths 19th-century Italian archaeologists Historians of science 19th-century Italian mathematicians 19th-century Italian philosophers Analytic philosophers