Alfred North Whitehead：The Man and His Work, 1861-1910

Table of contents :
Cover
Flap 1
Contents
Preface
I. Introduction
i. Why a biography of Whitehead.
ii. Whitehead’s philosophical system.
iii. Process theology. Neglect of Whitehead’s philosophical system.
iv. Genesis of this biography. Paucity of extant documents.
v. In what sense this biography is authorized.Whitehead’s reticence.
vi. Qualifications for Whitehead’s biographer. The division between Volume I and Volume II. The dedication.
II. The Whiteheads
i. Antecedents.
ii. Grandfather Whitehead.
iii. Grandfather’s sons.
iv. Uncle Henry.
v. Whitehead pere.
vi. Whitehead’s mother’s family, the Buckmasters.
III. Childhood
i. Early childhood.
ii. The Isle of Thanet. Ramsgate. Canterbury.
iii. A link with the past: Archbishop Tait.
iv. Love of England. Early instruction at home.
IV. Sherborne
i. H. D. Harper’s Sherborne School. The town and the country. King Arthur and King Alfred.
ii. The English public school. The boys’ life at Sherborne.
iii. Whitehead’s studies at Sherborne.
iv. Sports. Whitehead, Captain of the Games.
v. The Debating Society at Sherborne.
vi. Head Boy.
vii. Sherborne’s headmasters and mathematics teachers. Commencement.
V. Student at Cambridge
i. Late-Victorian Cambridge.
ii. Trinity College. The scholarship examination.
iii. Freshman at Trinity.
iv. The honors program.
v. Friendships: W. R. Sorley, D’Arcy Thompson, Henry Head. The Cambridge Review. Chapel.
vi. Scholarship examination in Whitehead’s first year.
vii. Friendships with dons and new freshmen. The Magpie and Stump.
viii. Young women at Cambridge.
VI. Mathematics at Cambridge
i. Mathematical staff at Trinity: J. W. L. Glaisher, H. M. Taylor, W. D. Niven. Professors Stokes and Cayley. E. J. Routh.
ii. Ordeal of the Mathematical Tripos: Whitehead, Fourth Wrangler.
iii. The advanced part of the Tripos: Whitehead, a First Class.
iv. Fellowship dissertation on Maxwell’s Treatise on Electricity and Magnetism. Whitehead’s election to a Trinity fellowship, 1884.
VII. The Cambridge Apostles
i. Election to the Cambridge Conversazione Society (“the Apostles”).
ii. History of the Society: George Tomlinson, F. D. Maurice, Tennyson. The mid century. Henry Sidgwick. Verrall, Maitland, Ward.
iii. H. H. Turner, Walter Raleigh, J. K. Stephen, and others who were members when Whitehead was elected.
iv. The Apostles and Whitehead’s character.
v. Goldsworthy Lowes Dickinson. H. B. Smith. Jack McTaggart. Roger Fry. Other Apostles.
vi. The records kept by the Apostles. Whitehead’s attitudes toward change, adventure, the multifariousness of things and qualities, and uniformity.
vii. Whitehead’s religious convictions.
viii. Whitehead’s views on telepathy, progress, and other questions discussed by the Apostles. The Apostles after Whitehead.
VIII. The Young Mathematician
i. Teaching Fellow at Trinity.
ii. A. R. Forsyth. Whitehead’s visit to Germany.
iii. Young Whitehead’s lack of publications. Grassmann’s Ausdehnungslehre. Whitehead on the Ausdehnungslehve and other new algebras.
iv. First publication: “On the Motion of Viscous Incompressible Fluids.” Second paper on this subject. “Whitehead’s paradox.”
v. Teaching at Girton. Whitehead’s support of Foreign Missions. His support of Toynbee Hall.
vi. Three fantasies written by Whitehead and published in Cambridge.
IX. Whitehead’s Thirtieth Year
i. The question of religious commitment. Whitehead’s visit to Cardinal Newman. Possibility of conversion to Roman Catholicism.
ii. Whitehead’s attitude toward women and sex.
iii. Evelyn Wade.
iv. The Wade family.
v. Evelyn’s independent spirit.
vi. Whitehead and Evelyn Wade: Contrasts and complements.
vii. Proposal and marriage.
viii. Whitehead’s increased self-confidence. His Treatise on Universal Algebra.
Photographs
X. The Married Mathematician
i. Birth of the Whiteheads’ first child, Thomas North. Pont-Aven. Jessie Whitehead.
ii. Whitehead’s private debate with himself: Rome or Canterbury? Growth of historical studies; the Cambridge school. Disintegration of the authority of Newtonian physics. Whitehead’s decision. Possible causes, and character, of his agnosticism.
iii. Purpose of Whitehead’s Treatise on Universal Algebra. Boolean algebra. Grassmann’s Calculus of Extension.
iv. The philosophy of mathematics in Universal Algebra. Leibniz. Whitehead’s attitude toward Platonic metaphysics. His handling of “ = ”. Reception of Universal Algebra. MacColl’s review.
v. The Mill House. The Whitehead household. Grantchester village. Houseguests. The children’s happy life. Whitehead’s Swinburnian poem. Holidays.
vi. Whitehead’s encouragement of research by young Cambridge Fellows. Successful opposition to Trinity College scheme to build on “the backs.” A reconciler in College Meetings. Senior Lecturer in mathematics.
vii. Whitehead’s part in University reforms: the Mathematical Tripos; compulsory Greek. “The Women’s War,” 1896-97. Whitehead’s support of admitting women to Cambridge degrees.
viii. Council member of Newnham. Teachers Training College. Cavendish Laboratory. Sciences at Cambridge.
XI. Bertrand Russell
i. Whitehead and Russell’s scholarship admission to Trinity College. Russell’s undergraduate years.
ii. Russell’s mind. His Trinity fellowship dissertation. His need for Whitehead’s encouragement.
iii. The 1900 Congress of Philosophy at Paris. Peano’s mathematical logic, and Russell’s response to it. Russell’s discussions with Whitehead on the extension of Peano’s logic.
iv. Russell’s logicist thesis about the foundations of mathematics. His Principles of Mathematics.
v. Russell’s emotional conversion on seeing Evelyn Whitehead in pain. The facts about her condition. Russell’s surreptitious gifts of money.
vi. Russell’s love for Evelyn. Russell and his wife, Alys. “The Free Man’s Worship.”
XII. Principia Mathematica
i. When and how the Whitehead-Russell collaboration began.
ii. Whitehead’s papers for the American Journal of Mathematics.
iii. Whitehead’s criticisms of Russell’s first efforts. The collaboration procedure. Whitehead’s attitude toward Russell’s philosophy; philosophical assumptions in Principia.
iv. Axiomatization of the premises of symbolic logic. Russell’s “material implication.” Russell’s “propositional function.” The six Parts of Principia Mathematica.
XIII. Principia Mathematica (Continued)
i. Russell’s discovery of a contradiction in the logic of classes. The effect of this discovery on Frege. Russell’s theory of types.
ii. Russell’s theory of descriptions.
iii. Character of the collaboration, and Whitehead’s way of thinking, as seen in Whitehead’s letters to Russell. Two general differences in their philosophies of mathematics.
iv. Decision to make the joint work independent of Russell’s Principles of Mathematics. Choice of its title. Whitehead’s arrangements with the Cambridge University Press, and with the Royal Society, for publication of Principia Mathematica.
v. Short expositions of Principia Mathematica. The reception of Principia. Reasons for its slight permanent influence on mathematicians. Treatment of Principia as Russell’s book.
vi. How the collaboration ended. Contrasting philosophical views of Whitehead and Russell. Final comment on the collaboration.
XIV. “On Mathematical Concepts of the Material World”
i. Purpose of the memoir: to define and compare, in terms of mathematical logic, the classical concept of the material world and four alternatives to it. Ultimate entities that are not punctual but linear.
ii. Whitehead’s treatment of time. His sophisticated treatment of space; the “Theory of Dimensions” and “Theory of Interpoints.”
iii. Further discussion of geometry and mathematical physics.
iv. Lack of influence of this memoir on physics.
v. Its relation to Whitehead’s other work. Physics and logic. Geometry and the changing world.
XV. Last Years in Cambridge
i. The Axioms of Projective Geometry and The Axioms of Descriptive Geometry.
ii. Memories of Whitehead as a teacher at this time.
iii. Keir Hardie’s visit to Cambridge. Whitehead’s support of women’s suffrage.
iv. Leaving Grantchester. Whitehead’s reaction to the death of friends and the illnesses of his children.
v. The Forsyth affair. Other motives for the Whiteheads’ move from Cambridge to London.
Notes
I
II
III
IV
V
VI
VII
VIII
IX
X
XI
XII
XIII
XIV
XV
Bibliography
Index
Flap 2
Back Cover

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