Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He created the philosophical school known as process philosophy, which has been applied in a wide variety of disciplines, including ecology, theology, education, physics, biology, economics, and psychology.
In his early career Whitehead wrote primarily on mathematics, logic, and physics. He wrote the three-volume Principia Mathematica (1910–1913), with his former student Bertrand Russell. Principia Mathematica is considered one of the twentieth century's most important works in mathematical logic, and placed 23rd in a list of the top 100 English-language nonfiction books of the twentieth century by Modern Library.
Beginning in the late 1910s and early 1920s, Whitehead gradually turned his attention from mathematics to philosophy of science, and finally to metaphysics. He developed a comprehensive metaphysical system which radically departed from most of Western philosophy. Whitehead argued that reality consists of processes rather than material objects, and that processes are best defined by their relations with other processes, thus rejecting the theory that reality is fundamentally constructed by bits of matter that exist independently of one another. Whitehead's philosophical works – particularly Process and Reality – are regarded as the foundational texts of process philosophy.
Whitehead's process philosophy argues that "there is urgency in coming to see the world as a web of interrelated processes of which we are integral parts, so that all of our choices and actions have consequences for the world around us."
Life
Childhood and education
thumb|upright=1.3|left|Whewell's Court north range at [[Trinity College, Cambridge|Trinity College, Cambridge. Whitehead spent thirty years at Trinity, five as a student and twenty-five as a senior lecturer.]]
Alfred North Whitehead was born in Ramsgate, Kent, England, in 1861. His father, Alfred Whitehead, became an Anglican minister after being headmaster of Chatham House Academy, a school for boys previously headed by Alfred's father, Thomas Whitehead. Whitehead himself recalled both of them as being very successful schoolmasters, with his grandfather being the more "remarkable" man. Whitehead does not appear to have been close to his mother, although he and Evelyn (full name: Evelyn Ada Maud Rice Willoughby Wade), whom he married in 1890, are recorded in the English Census of 1891 as living with Alfred's mother and father. Lowe notes that there appears to have been mutual dislike between Whitehead's wife, Evelyn, and his mother, Maria.
Griffin relates how Bertrand Russell, a colleague and collaborator of Whitehead, was a very close friend of Whitehead and of his wife, Evelyn. Griffin retells Russell's story of how, one evening in 1901, "they found Evelyn Whitehead in the middle of what appeared to be a dangerous and acutely painful angina attack. ... [but] It seems that she suffered from a psychosomatic disorder ... [and] the danger was illusory." Griffin posits that Russell exaggerated the drama of her illness, and that both Evelyn and Russell were habitually given to melodrama. Intensity of emotion was encouraged by their avant-garde associates in the turbulent Bloomsbury Group which "discussed aesthetic and philosophical questions in a spirit of agnosticism and were strongly influenced by G.E. Moore's Principia Ethica (1903) and by A. N. Whitehead's and Bertrand Russell's Principia Mathematica (1910–13), in the light of which they searched for definitions of the good, the true, and the beautiful".
Alfred's brother Henry became Bishop of Madras and wrote the closely observed ethnographic account Village Gods of South-India (Calcutta: Association Press, 1921).
Whitehead was educated at Sherborne, a prominent English public school, where he excelled in sports and mathematics and was head prefect of his class.
In 1880, he began attending Trinity College, Cambridge, and studied mathematics. His academic advisor was Edward Routh. He earned his B.A. from Trinity in 1884, writing his dissertation on James Clerk Maxwell's A Treatise on Electricity and Magnetism, and graduated as fourth wrangler.
Career
Elected a fellow of Trinity in 1884, Whitehead would teach and write on mathematics and physics at the college until 1910, spending the 1890s writing his Treatise on Universal Algebra (1898), and the 1900s collaborating with his former pupil, Bertrand Russell, on the first edition of Principia Mathematica. He was a Cambridge Apostle.thumb|upright|[[Bertrand Russell in 1907. Russell was a student of Whitehead's at Trinity College, and a longtime collaborator and friend.]]
In 1910, Whitehead resigned his senior lectureship in mathematics at Trinity and moved to London without first obtaining another job. After being unemployed for a year, he accepted a position as lecturer in applied mathematics and mechanics at University College London but was passed over a year later for the Goldsmid Chair of Applied Mathematics and Mechanics, a position for which he had hoped to be seriously considered.
In 1914, Whitehead accepted a position as professor of applied mathematics in the newly chartered Imperial College London, where his old friend Andrew Forsyth had recently been appointed chief professor of mathematics.
In 1918, Whitehead's academic responsibilities began to seriously expand as he accepted a number of high administrative positions within the University of London system (of which Imperial College London was a member at the time). He was elected dean of the Faculty of Science at the University of London in late 1918 (a post he held for four years), a member of the University of London's Senate in 1919, and chairman of the Senate's Academic (leadership) Council in 1920, a post which he held until he departed for America in 1924.
Toward the end of his time in England, Whitehead turned his attention to philosophy. Though he had no advanced training in philosophy, his philosophical work soon became highly regarded. After publishing The Concept of Nature in 1920, he served as president of the Aristotelian Society from 1922 to 1923.
Move to the United States, 1924
In 1924, Henry Osborn Taylor invited the 63-year-old Whitehead to join the faculty at Harvard University as a professor of philosophy. The Whiteheads would spend the rest of their lives in the United States.
During his time at Harvard, Whitehead produced some of his most important philosophical contributions. In 1925, he wrote Science and the Modern World, which was immediately hailed as an alternative to the Cartesian dualism then prevalent in popular science. He was elected to the American Academy of Arts and Sciences that same year. He was elected to the American Philosophical Society in 1926. Lectures from 1927 to 1928, were published in 1929 as a book named Process and Reality, which has been compared to Immanuel Kant's Critique of Pure Reason.
From 1910, the Whiteheads had a cottage in the village of Lockeridge, near Marlborough, Wiltshire; from there he completed Principia Mathematica.
The Whiteheads remained in the United States after moving to Harvard in 1924. Alfred retired from Harvard in 1937 and remained in Cambridge, Massachusetts, until his death on 30 December 1947.
Legacy
The two-volume biography of Whitehead by Victor Lowe is the most definitive presentation of the life of Whitehead. However, many details of Whitehead's life remain obscure because he left no Nachlass (personal archive); his family carried out his instructions that all of his papers be destroyed after his death. Additionally, Whitehead was known for his "almost fanatical belief in the right to privacy," and for writing very few personal letters of the kind that would help to gain insight on his life. The first volume of the Edinburgh Critical Edition of the Complete Works of Alfred North Whitehead was published in 2017 by Paul A. Bogaard and Jason Bell as The Harvard Lectures of Alfred North Whitehead, 1924–1925: The Philosophical Presuppositions of Science.
Mathematics and logic
In addition to numerous articles on mathematics, Whitehead wrote three major books on the subject: A Treatise on Universal Algebra (1898), Principia Mathematica (co-written with Bertrand Russell and published in three volumes between 1910 and 1913), and An Introduction to Mathematics (1911). The former two books were aimed exclusively at professional mathematicians, while the latter book was intended for a larger audience, covering the history of mathematics and its philosophical foundations. Principia Mathematica in particular is regarded as one of the most important works in mathematical logic of the 20th century.
In addition to his legacy as a co-writer of Principia Mathematica, Whitehead's theory of "extensive abstraction" is considered foundational for the branch of ontology and computer science known as "mereotopology," a theory describing spatial relations among wholes, parts, parts of parts, and the boundaries between parts.
A Treatise on Universal Algebra
In A Treatise on Universal Algebra (1898), the term universal algebra had essentially the same meaning that it has today: the study of algebraic structures themselves, rather than examples ("models") of algebraic structures. Whitehead credits William Rowan Hamilton and Augustus De Morgan as originators of the subject matter, and James Joseph Sylvester with coining the term itself.
At the time, structures such as Lie algebras and hyperbolic quaternions drew attention to the need to expand algebraic structures beyond the associatively multiplicative class. In a review Alexander Macfarlane wrote: "The main idea of the work is not unification of the several methods, nor generalization of ordinary algebra so as to include them, but rather the comparative study of their several structures." In a separate review, G. B. Mathews wrote, "It possesses a unity of design which is really remarkable, considering the variety of its themes."
A Treatise on Universal Algebra sought to examine Hermann Grassmann's theory of extension ("Ausdehnungslehre"), Boole's algebra of logic, and Hamilton's quaternions (this last number system was to be taken up in Volume II, which was never finished due to Whitehead's work on Principia Mathematica). Whitehead wrote in the preface:
Whitehead, however, had no results of a general nature.
Principia Mathematica
210px|right|thumb|The title page of the shortened version of the Principia Mathematica to *56
Principia Mathematica (1910–1913) is Whitehead's most famous mathematical work. Written with former student Bertrand Russell, Principia Mathematica is considered one of the twentieth century's most important works in mathematics and placed 23rd in a list of the top 100 English-language nonfiction books of the twentieth century by Modern Library.
Whitehead and Russell had thought originally that Principia Mathematica would take a year to complete; it ended up taking them ten years. When it came time for publication, the three-volume work was so long (more than 2,000 pages) and its audience so narrow (professional mathematicians) that it was initially published at a loss of 600 pounds, 300 of which was paid by Cambridge University Press, 200 by the Royal Society of London, and 50 apiece by Whitehead and Russell themselves.
Principia Mathematicas legacy is mixed. It is generally accepted that Kurt Gödel's incompleteness theorem of 1931 definitively demonstrated that, for any set of axioms and inference rules proposed to encapsulate mathematics, there would in fact be some truths of mathematics that could not be deduced from them, and hence that Principia Mathematica could never achieve its aims. However, Gödel could not have come to this conclusion without Whitehead and Russell's book. In this way, Principia Mathematica legacy might be described as its key role in disproving the possibility of achieving its own stated goals. But beyond this somewhat ironic legacy, the book popularized modern mathematical logic and drew important connections between logic, epistemology, and metaphysics.
An Introduction to Mathematics
Unlike Whitehead's previous two books on mathematics, An Introduction to Mathematics (1911) was not aimed exclusively at professional mathematicians but was intended for a larger audience. The book covered the nature of mathematics, its unity and internal structure, and its applicability to nature.
The book can be seen as an attempt to understand the growth in unity and interconnection of mathematics as a whole, as well as an examination of the mutual influence of mathematics and philosophy, language, and physics. Although the book is little-read, in some ways it prefigures certain points of Whitehead's later work in philosophy and metaphysics.
Views on education
Whitehead showed a deep concern for educational reform at all levels. In addition to his numerous individually written works on the subject, Whitehead was appointed by Britain's Prime Minister David Lloyd George as part of a 20-person committee to investigate the educational systems and practices of the UK in 1921 and recommend reform.
Whitehead's most complete work on education is the 1929 book The Aims of Education and Other Essays, which collected numerous essays and addresses by Whitehead on the subject published between 1912 and 1927. The essay from which Aims of Education derived its name was delivered as an address in 1916 when Whitehead was president of the London Branch of the Mathematical Association. In it, he cautioned against the teaching of what he called "inert ideas" – ideas that are disconnected scraps of information, with no application to real life or culture. He opined that "education with inert ideas is not only useless: it is, above all things, harmful."
Rather than teach small parts of a large number of subjects, Whitehead advocated teaching a relatively few important concepts that the student could organically link to many different areas of knowledge, discovering their application in actual life. For Whitehead, education should be the exact opposite of the multidisciplinary, value-free school model
Whitehead argued that curriculum should be developed specifically for its own students by its own staff, or else risk total stagnation, interrupted only by occasional movements from one group of inert ideas to another.
Above all else in his educational writings, Whitehead emphasized the importance of imagination and the free play of ideas. In his essay "Universities and Their Function", Whitehead writes provocatively on imagination:
Whitehead's philosophy of education might adequately be summarized in his statement that "knowledge does not keep any better than fish". In other words, bits of disconnected knowledge are meaningless; all knowledge must find some imaginative application to the students' own lives, or else it becomes useless trivia, and the students themselves become good at parroting facts but not thinking for themselves.
Philosophy and metaphysics
thumb|left|400px|Richard Rummell's 1906 watercolor landscape view of [[Harvard University, facing northeast. Whitehead taught at Harvard from 1924 to 1937.]]
Whitehead did not begin his career as a philosopher. Ironically, in later life, Whitehead would become one of the 20th century's foremost metaphysicians.
However, interest in metaphysics – the philosophical investigation of the nature of the universe and existence – had become unfashionable by the time Whitehead began writing in earnest about it in the 1920s. The ever-more impressive accomplishments of empirical science had led to a general consensus in academia that the development of comprehensive metaphysical systems was a waste of time because they were not subject to empirical testing.
Whitehead was unimpressed by this objection. In the notes of one of his students for a 1927 class, Whitehead was quoted as saying: "Every scientific man in order to preserve his reputation has to say he dislikes metaphysics. What he means is he dislikes having his metaphysics criticized." In Whitehead's view, scientists and philosophers make metaphysical assumptions about how the universe works all the time, but such assumptions are not easily seen precisely because they remain unexamined and unquestioned. While Whitehead acknowledged that "philosophers can never hope finally to formulate these metaphysical first principles", he argued that people need to continually reimagine their basic assumptions about how the universe works if philosophy and science are to make any real progress, even if that progress remains permanently asymptotic. For this reason, Whitehead regarded metaphysical investigations as essential to both good science and good philosophy.
Perhaps foremost among what Whitehead considered faulty metaphysical assumptions was the Cartesian idea that reality is fundamentally constructed of bits of matter that exist totally independently of one another, which he rejected in favour of an event-based or "process" ontology in which events are primary and are fundamentally interrelated and dependent on one another. He also argued that the most basic elements of reality can all be regarded as experiential, indeed that everything is constituted by its experience. He used the term "experience" very broadly so that even inanimate processes such as electron collisions are said to manifest some degree of experience. In this, he went against Descartes' separation of two different kinds of real existence, either exclusively material or else exclusively mental. Whitehead referred to his metaphysical system as the "philosophy of organism," but it would become known more widely as "process philosophy." So impressive and different was Whitehead's philosophy that in 1924 he was invited to join the faculty at Harvard University as a professor of philosophy at 63 years of age.]]
This is not to say that Whitehead's thought was widely accepted or even well understood. His philosophical work is generally considered to be among the most difficult to understand in all of the Western canon.
It may not be inappropriate to speculate that some fair portion of the respect generally shown to Whitehead by his philosophical peers at the time arose from their sheer bafflement. The Chicago theologian Shailer Mathews once remarked of Whitehead's 1926 book Religion in the Making: "It is infuriating, and I must say embarrassing as well, to read page after page of relatively familiar words without understanding a single sentence."
However, Mathews' frustration with Whitehead's books did not negatively affect his interest. In fact, there were numerous philosophers and theologians at Chicago's Divinity School who perceived the importance of what Whitehead was doing without fully grasping all of the details and implications. In 1927, they invited one of America's only Whitehead experts, Henry Nelson Wieman, to Chicago to give a lecture explaining Whitehead's thoughts.
Wieman's words proved prophetic. Though Process and Reality has been called "arguably the most impressive single metaphysical text of the twentieth century," it has been little-read and little-understood, partly because it demands – as Isabelle Stengers puts it – "that its readers accept the adventure of the questions that will separate them from every consensus." Whitehead questioned Western philosophy's most dearly held assumptions about how the universe works – but in doing so, he managed to anticipate a number of 21st century scientific and philosophical problems and provide novel solutions.
Whitehead's conception of reality
Whitehead was convinced that the scientific notion of matter was misleading as a way of describing the ultimate nature of things. In his 1925 book Science and the Modern World, he wrote that: