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William Stanley Jevons (; 1 September 1835 – 13 August 1882) was an English
economist An economist is a professional and practitioner in the social sciences, social science discipline of economics. The individual may also study, develop, and apply theories and concepts from economics and write about economic policy. Within this ...
and
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 ...
ian.
Irving Fisher Irving Fisher (February 27, 1867 – April 29, 1947) was an American economist, statistician, inventor, eugenicist and progressive social campaigner. He was one of the earliest American neoclassical economists, though his later work on debt de ...
described Jevons's book ''A General Mathematical Theory of Political Economy'' (1862) as the start of the mathematical method in economics. It made the case that economics, as a science concerned with
quantities Quantity or amount is a property that can exist as a multitude or magnitude, which illustrate discontinuity and continuity. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value multiple of a u ...
, is necessarily mathematical. In so doing, it expounded upon the "final" (marginal)
utility theory In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings. * In a Normative economics, normative context, utility refers to a goal or ob ...
of value. Jevons' work, along with similar discoveries made by
Carl Menger Carl Menger von Wolfensgrün (; ; 28 February 1840 – 26 February 1921) was an Austrian economist who contributed to the marginal theory of value. Menger is considered the founder of the Austrian school of economics. In building his margi ...
in Vienna (1871) and by
Léon Walras Marie-Esprit-Léon Walras (; 16 December 1834 – 5 January 1910) was a French mathematical economics, mathematical economist and Georgist. He formulated the Marginalism, marginal theory of value (independently of William Stanley Jevons and Carl ...
in Switzerland (1874), marked the opening of a new period in the history of economic thought. Jevons's contribution to the marginal revolution in economics in the late 19th century established his reputation as a leading political economist and logician of the time. Jevons broke off his studies of the
natural sciences Natural science or empirical science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer ...
in London in 1854 to work as an assayer in
Sydney Sydney is the capital city of the States and territories of Australia, state of New South Wales and the List of cities in Australia by population, most populous city in Australia. Located on Australia's east coast, the metropolis surrounds Syd ...
, where he acquired an interest in
political economy Political or comparative economy is a branch of political science and economics studying economic systems (e.g. Marketplace, markets and national economies) and their governance by political systems (e.g. law, institutions, and government). Wi ...
. Returning to the UK in 1859, he published ''General Mathematical Theory of Political Economy'' in 1862, outlining the
marginal utility theory Marginal utility, in mainstream economics, describes the change in ''utility'' (pleasure or satisfaction resulting from the consumption) of one unit of a good or service. Marginal utility can be positive, negative, or zero. Negative marginal utilit ...
of value, and ''A Serious Fall in the Value of Gold'' in 1863. For Jevons, the utility or value to a consumer of an additional unit of a product is inversely related to the number of units of that product he already owns, at least beyond some critical quantity. Jevons received public recognition for his work on ''
The Coal Question ''The Coal Question; An Inquiry Concerning the Progress of the Nation, and the Probable Exhaustion of Our Coal Mines'' is a book that economist William Stanley Jevons wrote in 1865 to explore the implications of Britain's reliance on coal. Given ...
'' (1865), in which he called attention to the gradual exhaustion of Britain's
coal Coal is a combustible black or brownish-black sedimentary rock, formed as rock strata called coal seams. Coal is mostly carbon with variable amounts of other Chemical element, elements, chiefly hydrogen, sulfur, oxygen, and nitrogen. Coal i ...
supplies and also put forth the view that increases in energy production efficiency leads to more, not less, consumption. This view is known today as the
Jevons paradox In economics, the Jevons paradox (; sometimes Jevons effect) occurs when technological advancements make a resource more efficient to use (thereby reducing the amount needed for a single application); however, as the cost of using the resourc ...
, named after him. Due to this particular work, Jevons is regarded today as the first economist of some standing to develop an 'ecological' perspective on the economy. The most important of his works on
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
scientific method The scientific method is an Empirical evidence, empirical method for acquiring knowledge that has been referred to while doing science since at least the 17th century. Historically, it was developed through the centuries from the ancient and ...
s is his ''Principles of Science'' (1874), as well as ''The Theory of Political Economy'' (1871) and ''The State in Relation to Labour'' (1882). Among his inventions was the logic piano, a mechanical
computer A computer is a machine that can be Computer programming, programmed to automatically Execution (computing), carry out sequences of arithmetic or logical operations (''computation''). Modern digital electronic computers can perform generic set ...
.


Background

Jevons was born in
Liverpool Liverpool is a port City status in the United Kingdom, city and metropolitan borough in Merseyside, England. It is situated on the eastern side of the River Mersey, Mersey Estuary, near the Irish Sea, north-west of London. With a population ...
,
Lancashire Lancashire ( , ; abbreviated ''Lancs'') is a ceremonial county in North West England. It is bordered by Cumbria to the north, North Yorkshire and West Yorkshire to the east, Greater Manchester and Merseyside to the south, and the Irish Sea to ...
, England. His father, Thomas Jevons, was an iron merchant who wrote about legal and economic subjects as well. His mother
Mary Anne Jevons Mary Anne Jevons, ''née'' Roscoe (1795–1845) was an English poet.Rosemary ScottJevons, Mary Anne (1795–1845) ''Oxford Dictionary of National Biography'', Oxford University Press, 2004; online edn, Jan 2007, accessed 29 July 2013. Life Mary ...
was the daughter of
William Roscoe William Roscoe (8 March 175330 June 1831) was an English banker, lawyer, and briefly a Member of Parliament. He is best known as one of England's first abolitionists, and as the author of the poem for children '' The Butterfly's Ball, and th ...
. At the age of fifteen he was sent to London to attend the
University College School University College School, also known as UCS, is a private day school in Frognal, Hampstead, London, England. The school was founded in 1830 by University College London and inherited many of that institution's progressive and secular views. ...
. Around this time, he seemed to have formed the belief that he was capable of important achievements as a thinker. Towards the end of 1853, after having spent two years at University College, where his favourite subjects were
chemistry Chemistry is the scientific study of the properties and behavior of matter. It is a physical science within the natural sciences that studies the chemical elements that make up matter and chemical compound, compounds made of atoms, molecules a ...
and
botany Botany, also called plant science, is the branch of natural science and biology studying plants, especially Plant anatomy, their anatomy, Plant taxonomy, taxonomy, and Plant ecology, ecology. A botanist or plant scientist is a scientist who s ...
, he received an offer as
metallurgical assay A metallurgical assay is a compositional analysis of an ore, metal, or alloy, usually performed in order to test for purity or quality. Some assay methods are suitable for raw materials; others are more appropriate for finished goods. Raw pre ...
er for the new mint in
Australia Australia, officially the Commonwealth of Australia, is a country comprising mainland Australia, the mainland of the Australia (continent), Australian continent, the island of Tasmania and list of islands of Australia, numerous smaller isl ...
. The idea of leaving the UK was distasteful, but pecuniary considerations had, in consequence of the failure of his father's firm in 1847, become of vital importance, and he accepted the post. Jevons left the UK for
Sydney Sydney is the capital city of the States and territories of Australia, state of New South Wales and the List of cities in Australia by population, most populous city in Australia. Located on Australia's east coast, the metropolis surrounds Syd ...
in June 1854 to take up a role as an Assayer at the Mint. Jevons lived with his colleague and his wife first at Church Hill, then in Annangrove at Petersham and at Double Bay before returning to England. In letters to his family he described his life, took photographs and produced a social map of Sydney. Jevons returned to England via America five years later. He resigned his appointment, and in the autumn of 1859 re-entered the
University College London University College London (Trade name, branded as UCL) is a Public university, public research university in London, England. It is a Member institutions of the University of London, member institution of the Federal university, federal Uni ...
as a student. He was granted B.A. and M.A. degrees from the
University of London The University of London (UoL; abbreviated as Lond or more rarely Londin in Post-nominal letters, post-nominals) is a collegiate university, federal Public university, public research university located in London, England, United Kingdom. The ...
. He now gave his principal attention to the moral sciences, but his interest in natural science was by no means exhausted: throughout his life he continued to write occasional papers on scientific subjects, and his knowledge of the physical sciences greatly contributed to the success of his chief logical work, ''The Principles of Science''. Not long after taking his M.A. degree, Jevons obtained a post as tutor at
Owens College Owens may refer to: Places in the United States * Owens Station, Delaware * Owens Township, St. Louis County, Minnesota * Owens, Missouri * Owens, Ohio * Owens, Texas * Owens, Virginia People * Owens (surname), including a list of people with ...
,
Manchester Manchester () is a city and the metropolitan borough of Greater Manchester, England. It had an estimated population of in . Greater Manchester is the third-most populous metropolitan area in the United Kingdom, with a population of 2.92&nbs ...
. In 1866, he was elected professor of logic and mental and moral philosophy and Cobden professor of political economy at Owens College. In the same year he was elected to Membership of the
Manchester Literary and Philosophical Society The Manchester Literary and Philosophical Society, popularly known as the Lit. & Phil., is one of the oldest learned societies in the United Kingdom and second oldest provincial learned society (after the Spalding Gentlemen's Society). Promi ...
on 13 November 1866.


Theory of utility

Jevons arrived quite early in his career at the doctrines that constituted his most characteristic and original contributions to economics and logic. The theory of utility, which became the keynote of his general theory of political economy, was practically formulated in a letter written in 1860; and the germ of his logical principles of the substitution of similars may be found in the view which he propounded in another letter written in 1861, that "philosophy would be found to consist solely in pointing out the likeness of things." The theory of
utility In economics, utility is a measure of a certain person's satisfaction from a certain state of the world. Over time, the term has been used with at least two meanings. * In a normative context, utility refers to a goal or objective that we wish ...
above referred to, namely, that the degree of utility of a commodity is some continuous mathematical function of the quantity of the commodity available, together with the implied doctrine that economics is essentially a mathematical science, took more definite form in a paper on "A General Mathematical Theory of Political Economy", written for the British Association in 1862. This paper does not appear to have attracted much attention either in 1862 or on its publication four years later in the ''Journal of the Statistical Society''; and it was not till 1871, when the ''Theory of Political Economy'' appeared, that Jevons set forth his doctrines in a fully developed form. It was not until after the publication of this work that Jevons became acquainted with the applications of mathematics to political economy made by earlier writers, notably
Antoine Augustin Cournot Antoine Augustin Cournot (; 28 August 180131 March 1877) was a French philosopher and mathematician who contributed to the development of economics. Biography Antoine Augustin Cournot was born on August 28, 1801 in Gray, Haute-Saône. He ent ...
and H.H. Gossen. The theory of utility was at about 1870 being independently developed on somewhat similar lines by
Carl Menger Carl Menger von Wolfensgrün (; ; 28 February 1840 – 26 February 1921) was an Austrian economist who contributed to the marginal theory of value. Menger is considered the founder of the Austrian school of economics. In building his margi ...
in
Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...
and
Léon Walras Marie-Esprit-Léon Walras (; 16 December 1834 – 5 January 1910) was a French mathematical economics, mathematical economist and Georgist. He formulated the Marginalism, marginal theory of value (independently of William Stanley Jevons and Carl ...
in
Switzerland Switzerland, officially the Swiss Confederation, is a landlocked country located in west-central Europe. It is bordered by Italy to the south, France to the west, Germany to the north, and Austria and Liechtenstein to the east. Switzerland ...
. As regards the discovery of the connection between value in exchange and final (or marginal) utility, the priority belongs to Gossen, but this in no way detracts from the great importance of the service which Jevons rendered to British economics by his fresh discovery of the principle, and by the way in which he ultimately forced it into notice. In his reaction from the prevailing view he sometimes expressed himself without due qualification: the declaration, for instance, made at the commencement of the ''Theory of Political Economy'', that value depends entirely upon utility, lent itself to misinterpretation. But a certain exaggeration of emphasis may be pardoned in a writer seeking to attract the attention of an indifferent public. The
Neoclassical Revolution Marginalism is a theory of economics that attempts to explain the discrepancy in the value of goods and services by reference to their secondary, or marginal, utility. It states that the reason why the price of diamonds is higher than that of wa ...
, which would reshape economics, had been started. Jevons did not explicitly distinguish between the concepts of ordinal and cardinal utility.
Cardinal utility In economics, a cardinal utility expresses not only which of two outcomes is preferred, but also the intensity of preferences, i.e. ''how much'' better or worse one outcome is compared to another. In consumer choice theory, economists originally ...
allows the relative magnitude of utilities to be discussed, while
ordinal utility In economics, an ordinal utility function is a function representing the preferences of an agent on an ordinal scale. Ordinal utility theory claims that it is only meaningful to ask which option is better than the other, but it is meaningless to as ...
only implies that goods can be compared and ranked according to which good provided the most utility. Although Jevons predated the debate about ordinality or cardinality of utility, his mathematics required the use of cardinal utility functions. For example, in ''"The Theory of Political Economy"'', Chapter II, the subsection on "Theory of Dimensions of Economic Quantities", Jevons makes the statement that "In the first place, pleasure and pain must be regarded as measured upon the same scale, and as having, therefore, the same dimensions, being quantities of the same kind, which can be added and subtracted...." Speaking of measurement, addition and subtraction requires cardinality, as does Jevons's heavy use of integral calculus. Cardinality does not imply direct measurability, in which Jevons did not believe.


Practical economics

It was not, however, as a theorist dealing with the fundamental data of economic science, but as a writer on practical economic questions, that Jevons first received general recognition. ''A Serious Fall in the Value of Gold'' (1863) and ''
The Coal Question ''The Coal Question; An Inquiry Concerning the Progress of the Nation, and the Probable Exhaustion of Our Coal Mines'' is a book that economist William Stanley Jevons wrote in 1865 to explore the implications of Britain's reliance on coal. Given ...
'' (1865) placed him in the front rank as a writer on applied economics and statistics; and he would be remembered as one of the leading economists of the 19th century even had his ''Theory of Political Economy'' never been written. His economic works include ''Money and the Mechanism of Exchange'' (1875) written in a popular style, and descriptive rather than theoretical; a ''Primer on Political Economy'' (1878); ''The State in Relation to Labour'' (1882), and two works published after his death, ''Methods of Social Reform" and "Investigations in Currency and Finance'', containing papers that had appeared separately during his lifetime. The last-named volume contains Jevons's speculations on the connection between commercial crises and sunspots. He was engaged at the time of his death upon the preparation of a large treatise on economics and had drawn up a table of contents and completed some chapters and parts of chapters. This fragment was published in 1905 under the title of ''The Principles of Economics: a fragment of a treatise on the industrial mechanism of society, and other papers''. In ''The Coal Question'', Jevons covered a breadth of concepts on energy depletion that have recently been revisited by writers covering the subject of
peak oil Peak oil is the point when global oil production reaches its maximum rate, after which it will begin to decline irreversibly. The main concern is that global transportation relies heavily on gasoline and diesel. Adoption of electric vehicles ...
. For example, Jevons explained that improving energy efficiency typically reduced energy costs and thereby increased rather than decreased energy use, an effect now known as the
Jevons paradox In economics, the Jevons paradox (; sometimes Jevons effect) occurs when technological advancements make a resource more efficient to use (thereby reducing the amount needed for a single application); however, as the cost of using the resourc ...
. ''The Coal Question'' remains a paradigmatic study of resource depletion theory. Jevons's son, H. Stanley Jevons, published an 800-page follow-up study in 1915 in which the difficulties of estimating recoverable reserves of a theoretically finite resource are discussed in detail. In 1875, Jevons read a paper ''On the influence of the sun-spot period upon the price of corn'' at a meeting of the ''British Association for the Advancement of Science''. This captured the attention of the media and led to the coining of the word sunspottery for claims of links between various cyclic events and sun-spots. In a later work, "Commercial Crises and Sun-Spots", Jevons analyzed business cycles, proposing that crises in the economy might not be random events, but might be based on discernible prior causes. To clarify the concept, he presented a statistical study relating
business cycle Business cycles are intervals of general expansion followed by recession in economic performance. The changes in economic activity that characterize business cycles have important implications for the welfare of the general population, governmen ...
s with
sunspots Sunspots are temporary spots on the Sun's surface that are darker than the surrounding area. They are one of the most recognizable Solar phenomena and despite the fact that they are mostly visible in the solar photosphere they usually affe ...
. His reasoning was that sunspots affected the weather, which, in turn, affected crops. Crop changes could then be expected to cause economic changes. Subsequent studies have found that sunny weather has a small but significant positive impact on stock returns, probably due to its impact on traders' moods.


Logic

In 1864 Jevons published ''Pure Logic; or, the Logic of Quality apart from Quantity'', which was based on Boole's
system of logic A formal system is an abstract structure and formalization of an axiomatic system used for deducing, using rules of inference, theorems from axioms. In 1921, David Hilbert proposed to use formal systems as the foundation of knowledge in mathema ...
, but freed from what he considered the false mathematical dress of that system. In 1866 what he regarded as the great and universal principle of all reasoning dawned upon him; and in 1869 Jevons published a sketch of this fundamental doctrine under the title of '' The Substitution of Similars''. He expressed this principle in its simplest form by saying: "Whatever is true of a thing is true of its like", and he worked out in detail its various applications including the '' logical abacus'', a method of performing simple logical
inference Inferences are steps in logical reasoning, moving from premises to logical consequences; etymologically, the word '' infer'' means to "carry forward". Inference is theoretically traditionally divided into deduction and induction, a distinct ...
by manipulating a
truth table A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arg ...
consisting of labeled wooden boards. He noted that the operations could be performed by a simple mechanism and later he had a "logical machine" built from his specifications in 1869, sometimes called the "Logic Piano" because of its resemblance to an upright
piano A piano is a keyboard instrument that produces sound when its keys are depressed, activating an Action (music), action mechanism where hammers strike String (music), strings. Modern pianos have a row of 88 black and white keys, tuned to a c ...
. The machine was exhibited before the
Royal Society The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, re ...
in 1870. In the following year appeared the ''Elementary Lessons on Logic'', which soon became the most widely read elementary textbook on logic in the English language. In the meantime he was engaged upon a much more important logical treatise, which appeared in 1874 under the title of ''The Principles of Science''. In this work Jevons embodied the substance of his earlier works on pure logic and the substitution of similars; he also enunciated and developed the view that induction is simply an inverse employment of deduction; he treated in a luminous manner the general theory of
probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ...
, and the relation between probability and induction; and his knowledge of the various natural sciences enabled him throughout to relieve the abstract character of logical doctrine by concrete scientific illustrations, often worked out in great detail. An example is his discussion of the use of
one-way function In computer science, a one-way function is a function that is easy to compute on every input, but hard to invert given the image of a random input. Here, "easy" and "hard" are to be understood in the sense of computational complexity theory, s ...
s in
cryptography Cryptography, or cryptology (from "hidden, secret"; and ''graphein'', "to write", or ''-logy, -logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of Adversary (cryptography), ...
, including remarks on the
integer factorization In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a comp ...
problem that foreshadowed its use in
public-key cryptography Public-key cryptography, or asymmetric cryptography, is the field of cryptographic systems that use pairs of related keys. Each key pair consists of a public key and a corresponding private key. Key pairs are generated with cryptographic alg ...
. Jevons's general theory of induction was a revival of the theory laid down by Whewell and criticised by
John Stuart Mill John Stuart Mill (20 May 1806 – 7 May 1873) was an English philosopher, political economist, politician and civil servant. One of the most influential thinkers in the history of liberalism and social liberalism, he contributed widely to s ...
; but it was put in a new form, and was free from some of the non-essential adjuncts that rendered Whewell's exposition open to attack. The work as a whole was one of the most notable contributions to logical doctrine that appeared in the UK in the 19th century. "Though less attractively written than Mill's ''System of Logic'', ''Principles of Science'' is a book that keeps much closer to the facts of scientific practice.""Jevons, William Stanley", in ''The Concise Encyclopedia of Western Philosophy and Philosophers'' (1960), New York: Hawthorn. His ''Studies in Deductive Logic'', consisting mainly of exercises and problems for the use of students, was published in 1880. In 1877 and the following years Jevons contributed to the ''Contemporary Review'' some articles on Mill, which he had intended to supplement by further articles, and eventually publish in a volume as a criticism of Mill's philosophy. These articles and one other were republished after Jevons's death, together with his earlier logical treatises, in a volume, entitled ''Pure Logic, and other Minor Works''. The articles on criticisms of Mill contain much that is ingenious and much that is forcible, but on the whole they cannot be regarded as taking rank with Jevons's other work. His strength lay in his power as an original thinker rather than as a critic; and he will be remembered by his constructive work as logician, economist and
statistician A statistician is a person who works with Theory, theoretical or applied statistics. The profession exists in both the private sector, private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, a ...
.


Jevons' number

Jevons wrote in his 1874 book ''Principles of Science'': : "Can the reader say what two numbers multiplied together will produce the number 8,616,460,799? I think it unlikely that anyone but myself will ever know." This became known as Jevons's number and was factored by Charles J. Busk in 1889,
Derrick Norman Lehmer Derrick Norman Lehmer (27 July 1867 – 8 September 1938) was an American mathematician and number theorist. Education Lehmer was educated at the University of Nebraska, obtaining his bachelor's degree in 1893 and master's in 1896. His PhD was ...
in 1903, and later on a pocket calculator by
Solomon W. Golomb Solomon Wolf Golomb ( ; May 30, 1932 – May 1, 2016) was an American mathematician, engineer, and professor of electrical engineering at the University of Southern California, best known for his works on mathematical games. He most notably inven ...
. It is the product of two prime numbers, 89,681 and 96,079.


Geometry

One of Jevons's contemporaries,
Hermann von Helmholtz Hermann Ludwig Ferdinand von Helmholtz (; ; 31 August 1821 – 8 September 1894; "von" since 1883) was a German physicist and physician who made significant contributions in several scientific fields, particularly hydrodynamic stability. The ...
, who was interested in
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 ...
, discussed two groups of two-dimensional creatures with one group living in the plane while the other living in the surface of a sphere. He asserted that since these creatures were embedded in two dimensions, they would develop a planar version of
Euclidean geometry Euclidean geometry is a mathematical system attributed to ancient Greek mathematics, Greek mathematician Euclid, which he described in his textbook on geometry, ''Euclid's Elements, Elements''. Euclid's approach consists in assuming a small set ...
, but that since the nature of these surfaces were different, they would arrive at very different versions of this geometry. He then extended this argument into three dimensions, noting that this raises fundamental questions of the relationship of spatial perception to mathematical truth. Jevons made an almost immediate response to this article. While Helmholtz focused on how humans perceived space, Jevons focused on the question of truth in geometry. Jevons agreed that while Helmholtz's argument was compelling in constructing a situation where the Euclidean axioms of geometry would not apply, he believed that they had no effect on the truth of these axioms. Jevons hence makes the distinction between truth and applicability or perception, suggesting that these concepts were independent in the domain of geometry. Jevons did not claim that geometry was developed without any consideration for spatial reality. Instead, he suggested that his geometric systems were representations of reality but in a more fundamental way that transcends what one can perceive about reality. Jevons claimed that there was a flaw in Helmholtz's argument relating to the concept of infinitesimally small. This concept involves how these creatures reason about geometry and space at a very small scale, which is not necessarily the same as the reasoning that Helmholtz assumed on a more global scale. Jevons claimed that the Euclidean relations could be reduced locally in the different scenarios that Helmholtz created and hence the creatures should have been able to experience the Euclidean properties, just in a different representation. For example, Jevons claimed that the two-dimensional creatures living on the surface of a sphere should be able to construct the plane and even construct systems of higher dimensions and that although they may not be able to perceive such situations in reality, it would reveal fundamental mathematical truths in their theoretical existence. In 1872, Helmholtz gave a response to Jevons, who claimed that Helmholtz failed to show why geometric truth should be separate from the reality of spatial perception. Helmholtz criticized Jevons's definition of truth and in particular, experiential truth. Helmholtz asserts that there should be a difference between experiential truth and mathematical truth and that these versions of truth are not necessarily consistent. This conversation between Helmholtz and Jevons was a microcosm of an ongoing debate between truth and perception in the wake of the introduction of non-Euclidean geometry in the late 19th century.


Personal life

In 1867, Jevons married Harriet Ann Taylor, whose father,
John Edward Taylor John Edward Taylor (11 September 1791 â€“ 6 January 1844) was an English business tycoon, editor, publisher and member of The Portico Library, who was the founder of the ''Manchester Guardian'' newspaper in 1821. It was renamed in 1959 '' ...
, had been the founder and proprietor of the ''
Manchester Guardian ''The Guardian'' is a British daily newspaper. It was founded in Manchester in 1821 as ''The Manchester Guardian'' and changed its name in 1959, followed by a move to London. Along with its sister paper, ''The Guardian Weekly'', ''The Guardi ...
''. Jevons suffered from ill health and sleeplessness, and found the delivery of lectures covering so wide a range of subjects very burdensome. In 1876, he was glad to exchange the Owens professorship for the professorship of
political economy Political or comparative economy is a branch of political science and economics studying economic systems (e.g. Marketplace, markets and national economies) and their governance by political systems (e.g. law, institutions, and government). Wi ...
in
University College, London University College London (Trade name, branded as UCL) is a Public university, public research university in London, England. It is a Member institutions of the University of London, member institution of the Federal university, federal Uni ...
. Travelling and music were the principal recreations of his life; but his health continued to be bad, and he suffered from depression. He found his professorial duties increasingly irksome, and feeling that the pressure of literary work left him no spare energy, he decided in 1880 to resign the post. On 13 August 1882 he drowned whilst bathing near
Hastings Hastings ( ) is a seaside town and Borough status in the United Kingdom, borough in East Sussex on the south coast of England, east of Lewes and south east of London. The town gives its name to the Battle of Hastings, which took place to th ...
. Jevons was brought up a Christian Unitarian. Excerpts from his journals indicate he remained committed to his Christian beliefs until death. He is buried in the
Hampstead Cemetery Hampstead Cemetery is a historic cemetery in West Hampstead, London, located at the upper extremity of the NW postcode area, NW6 district. Despite the name, the cemetery is three-quarters of a mile from Hampstead, and bears a different postcode. ...
.


Legacy

Jevons was a prolific writer, and at the time of his death was a leader in the UK both as a logician and as an economist.
Alfred Marshall Alfred Marshall (26 July 1842 – 13 July 1924) was an English economist and one of the most influential economists of his time. His book ''Principles of Economics (Marshall), Principles of Economics'' (1890) was the dominant economic textboo ...
said of his work in economics that it "will probably be found to have more constructive force than any, save that of
Ricardo Ricardo is the Spanish and Portuguese cognate of the name Richard. It derived from Proto-Germanic ''*rīks'' 'king, ruler' + ''*harduz'' 'hard, brave'. It may be a given name, or a surname. People Given name * Ricardo de Araújo Pereira (born ...
, that has been done during the last hundred years." Jevons's theory of induction has continued to be influential: "Jevons's general view of induction has received a powerful and original formulation in the work of a modern-day philosopher, Professor K. R. Popper."


Works

*1862. ''A General Mathematical Theory of Political Economy'' *1863
''A Serious Fall in the Value of Gold''
Edward Stanford. *1864
''Pure Logic; or, the Logic of Quality apart from Quantity''
Edward Stanford, London *1865. ''The Coal Question'', Macmillan and Co. *1869
''The Substitution of Similars, The True Principle of Reasoning''
Macmillan & Co. *1870
''Elementary Lessons in Logic''
Macmillan & Co., London *1871. ''The Match Tax: A Problem in Finance'', Edward Stanford. *1871.
The Theory of Political Economy
', Macmillan & Co. **"Theory of Political Economy". In James R. Newman, ed., ''The World of Mathematics'', Vol. 2, Part IV, 1956. *1874. ''Principles of Science'', Macmillan & Co. *1875. ''Money and the Mechanism of Exchange'', D. Appleton and Co. *1878.

' *1880. ''Studies in Deductive Logic'' â€
1884 edition
(Macmillan & Co., London) *1882. ''The State in Relation to Labour'' *1883. ''Methods of Social Reform and Other Papers'', Macmillan and Co. **''Methods of Social Reform, and Other Papers'', Kelley, 1965. *1884
''Investigations in Currency and Finance''
Macmillan and Co. 1884. *1886
''Letters and Journal of W. Stanley Jevons''
Ed. by Harriet A. Jevons, Macmillan & Co. *1972–81. ''Papers and Correspondence'', edited by R. D. Collison Black, Macmillan & the Royal Economic Society (7 vol.)


Articles


"On the cirrous form of cloud"
''The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science'', Vol. 14, 1857.
"On the Variation of Prices and the Value of the Currency since 1782"
''Journal of the Statistical Society of London'', Vol. 28, No. 2, June 1865.
"On the Frequent Autumnal Pressure in the Money Market, and the Action of the Bank of England"
''Journal of the Statistical Society of London'', Vol. 29, No. 2, June 1866.
"On the Condition of the Metallic Currency of the United Kingdom, with Reference to the Question of International Coinage"
''Journal of the Statistical Society of London'', Vol. 31, No. 4, December 1868.
"Who Discovered the Quantification of the Predicate?"
''The Contemporary Review'', Vol. XXI, December 1872/May 1873.
"The Philosophy of Inductive Inference"
''Fortnightly Review'', Vol. XIV, New Series, 1873.
"The Use of Hypothesis"
''Fortnightly Review'', Vol. XIV, New Series, 1873.
"The Railways and the State"
In: ''Essays and Addresses'', Macmillan & Co., 1874.
"The Future of Political Economy"
''Fortnightly Review'', Vol. XX, New Series, 1876.
"Cruelty to Animals: A Study in Sociology"
''Fortnightly Review'', Vol. XIX, New Series, 1876.
"The Silver Question"
''Journal of Social Science'', No. IX, January 1878.
"John Stuart Mill's Philosophy Tested"Part II
''The Contemporary Review'', Vol. XXXI, December 1877/January 1878
Part III
Vol. XXXII, April 1878.Jackson, Reginald. "Mill's Treatment of Geometry: A Reply to Jevons", ''Mind'', New Series, Vol. 50, No. 197, January 1941.
"Methods of Social Reform, I: Amusements of the People"
''The Contemporary Review'', Vol. XXXIII, October 1878.
"Methods of Social Reform, II: A State Parcel Post"
''The Contemporary Review'', Vol. XXXIV, January 1879.
"The Periodicity of Commercial Crises, and its Physical Explanation,"
''Journal of The Statistical and Social Inquiry Society of Ireland'', Vol. VII, Part 54, 1878/1879.
"Experimental Legislation and the Drink Traffic"
''The Contemporary Review'', Vol. XXXVII, January/June 1880.
"Recent Mathematico-Logical Memoirs"
''Nature'', Vol. XXIII, 24 March 1881.
"Richard Cantillon and the Nationality of Political Economy"
''The Contemporary Review'', Vol. XXXIX, January/June 1881.
"The Rationale of Free Public Libraries"
''The Contemporary Review'', Vol. XXXIX, January/June 1881.
"Bimetallism"
''The Contemporary Review'', Vol. XXXIX, January/June 1881.
"Married Women in Factories"
''The Contemporary Review'', Vol. XLI, January/June 1882.


Miscellany

*Luigi Cossa
''Guide to the Study of Political Economy''
with a Preface by W. Stanley Jevons, Macmillan & Co., 1880. *Jevons and his theory on a possible connection between sunspots and economic activity cycles were mentioned by Lovecraft in his ''
The Shadow Out of Time ''The Shadow Out of Time'' is a novella by American horror fiction writer H. P. Lovecraft. Written between November 1934 and February 1935, it was first published in the June 1936 issue of '' Astounding Stories''. The story describes time and s ...
'' as discussed by Nathaniel Wingate Peaslee just before he was abducted by the Great Race.


References


Sources

* *R.D. Collison Black (1987). "Jevons, William Stanley", '' The New Palgrave: A Dictionary of Economics'', v. 2, pp. 1008–14. *
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. *Terry Peach (1987). "Jevons as an economic theorist", ''The New Palgrave: A Dictionary of Economics'', v. 2, pp. 1014–19. *The first part of this article was based on an article in the Encyclopedia of Marxism a
www.marxists.org


Further reading

*Bam, Vincent, ''et al''. "Hypothetical Fallibilism in Peirce and Jevons", ''Transactions of the Charles S. Peirce Society'', Vol. 15, No. 2, Spring, 1979. *Barrett, Lindsay and Connell, Matthew

''The Rutherford Journal'', Vol. 1, Issue 1, 2006. *Collison Black, R. D. "Jevons and Cairnes", ''Economica'', New Series, Vol. 27, No. 107, Aug., 1960. *Collison Black, R. D. "Jevons, Bentham and De Morgan", ''Economica'', New Series, Vol. 39, No. 154, May, 1972. *De Marchi, N. B. "The Noxious Influence of Authority: A Correction of Jevons' Charge", ''Journal of Law and Economics'', Vol. 16, No. 1, Apr., 1973. *Grattan-Guinness, I. "'In Some Parts Rather Rough': A Recently Discovered Manuscript Version of William Stanley Jevons's 'General Mathematical Theory of Political Economy' (1862)", ''History of Political Economy'', Vol. 34, Number 4, Winter 2002. *Jevons, H. Winefrid. "William Stanley Jevons: His Life", ''Econometrica'', Vol. 2, No. 3, Jul., 1934. *Keynes, J. M. "William Stanley Jevons 1835–1882: A Centenary Allocation on his Life and Work as Economist and Statistician", ''Journal of the Royal Statistical Society'', Vol. 99, No. 3, 1936. *Könekamp, Rosamund. "William Stanley Jevons (1835–1882). Some Biographical Notes", ''Manchester School of Economic and Social Studies'', Vol. 30, No. 3, Sept. 1962. *Konvitz, Milton R. "An Empirical Theory of the Labor Movement: W. Stanley Jevons", ''The Philosophical Review'', Vol. 57, No. 1, Jan., 1948. *La Nauze, J. A. "The Conception of Jevon's Utility Theory", ''Economica'', New Series, Vol. 20, No. 80, Nov., 1953. *Maas, Harro. ''William Stanley Jevons and the Making of Modern Economics'', Cambridge University Press, 2005. *Madureira, Nuno Luis. "The Anxiety of Abundance: William Stanley Jevons and Coal Scarcity in the Nineteenth Century", ''Environment and History'', Volume 18, Number 3, August 2012. *Mays, W. and Henry, D. P. "Jevons and Logic", ''Mind'', New Series, Vol. 62, No. 248, Oct., 1953. *Mosselmans, Bert
"William Stanley Jevons and the Extent of Meaning in Logic and Economics"
, ''History and Philosophy of Logic'', Volume 19, Issue 2, 1998. *Mosselmans, Bert. ''William Stanley Jevons and the Cutting Edge of Economics'', Routledge, 2007. *Noller, Carl W. "Jevons on Cost", ''Southern Economic Journal'', Vol. 39, No. 1, Jul., 1972. *Paul, Ellen Frankel. "W. Stanley Jevons: Economic Revolutionary, Political Utilitarian", ''Journal of the History of Ideas'', Vol. 40, No. 2, Apr./Jun., 1979. *Peart, Sandra. "'Disturbing Causes', 'Noxious Errors', and the Theory-Practice Distinction in the Economics of J.S. Mill and W.S. Jevons", ''The Canadian Journal of Economics'', Vol. 28, No. 4b, Nov., 1995. *Peart, Sandra. ''The Economics of W. S. Jevons'', Routledge, 1996. *Peart, Sandra. "Jevons and Menger Re-Homogenized?: Jaffé after 20 Years", ''The American Journal of Economics and Sociology'', Vol. 57, No. 3, Jul., 1998. *Peart, Sandra. "Facts Carefully Marshalled' in the Empirical Studies of William Stanley Jevons", ''History of Political Economy'', Vol. 33, Annual Supplement, 2001. *Robertson, Ross M. "Jevons and His Precursors", ''Econometrica'', Vol. 19, No. 3, Jul., 1951. *Schabas, Margaret. "The 'Worldly Philosophy' of William Stanley Jevons", ''Victorian Studies'', Vol. 28, No. 1, Autumn, 1984. *Schabas, Margaret. "Alfred Marshall, W. Stanley Jevons, and the Mathematization of Economics", ''Isis'', Vol. 80, No. 1, Mar., 1989. *Schabas, Margaret. ''A World Ruled by Number: William Stanley Jevons and the Rise of Mathematical Economics'', Princeton University Press, 1990. *Strong, John V. "The Infinite Ballot Box of Nature: De Morgan, Boole, and Jevons on Probability and the Logic of Induction", ''PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association'', Vol. 1976, Volume One: Contributed Papers, 1976. *Wood, John C. ''William Stanley Jevons: Critical Assessments'', 2 vol., Routledge, 1988. *York, Richard
"Ecological Paradoxes: William Stanley Jevons and the Paperless Office"
''Human Ecology Review'', Vol. 13, No. 2, 2006. *Young, Allyn A
"Jevons' 'Theory of Political Economy'"
''The American Economic Review'', Vol. 2, No. 3, Sep., 1912. *Shepherdson, John C. "W. S. Jevons: his Logical Machine and Work Induction and Boolean Algebra" ''Machine Intelligence'' 15. eds. K. Furukawa; D. Michie; S. Muggleton. OUP, 1998. p. 489–505.


External links

*
Royal Society certificate of election 1872
at ''
The Rutherford Journal Brian Jack Copeland (born 1950) is Professor of Philosophy at the University of Canterbury, Christchurch, New Zealand, and author of books on the computing pioneer Alan Turing. Education Copeland was educated at the University of Oxford, obta ...
''
The Coal Question – Encyclopedia of EarthLetters and Journal of W. Stanley Jevons
edited by his wife (1886). This work contains a bibliography of Jevons's writings. * *
Jevons Family Archive
at
University of Manchester Library The University of Manchester Library is the library system and information service of the University of Manchester. The main library is on the Oxford Road campus of the university, with its entrance on Burlington Street. There are also ten other ...
. Works available online * *
The Coal Question
(also availabl
here

The Theory of Political EconomyMoney and the Mechanism of Exchange''Elementary Lessons in Logic''''Money and the Mechanism of Exchange''''The Theory of Political Economy''


* ttps://archive.org/details/theorypolitical00jevogoog The Theory of Political Economy 1871,
The Theory of Political Economy
1879, 2nd ed.
The Theory of Political Economy
1888, 3rd ed. (1879 ed. + 3rd Preface by Harriet A. Jevons & adds to bibliographic 1st Appendix). {{DEFAULTSORT:Jevons, William Stanley 1835 births 1882 deaths Academics from Liverpool Academics of University College London Accidental deaths in England Alumni of University College London Burials at Hampstead Cemetery Deaths by drowning in the United Kingdom English economists English logicians 19th-century English philosophers English statisticians Environmental economists Fellows of the Royal Society Neoclassical economics Neoclassical economists People educated at University College School 19th-century British philosophers 19th-century British economists 19th-century English mathematicians Manchester Literary and Philosophical Society English Unitarians Academics of the Victoria University of Manchester