Whitehead spent thirty years at Trinity, five as a student and twenty-five as a senior lecturer. Whitehead was apparently not particularly close with his mother, as he never mentioned her in any of his writings, and there is evidence that Whitehead's wife, Evelyn, had a low opinion of her. Association Press,which is still of value today. Bertrand Russell in
As a result, there is no nachlass, except for papers retained by his colleagues and correspondents. From knowledge gained through the years of the personalities who in our day have affected American university life, I have for some time been convinced that no single figure has had such a pervasive influence as the late Professor Alfred North Whitehead.
A critical edition of his work is currently in the process of being prepared. A first volume, containing student notes of lectures given by Whitehead at Harvard in the academic year —, has already been published by Edinburgh University Press inand more volumes are on their way.
Mathematics and Logic Whitehead began his academic career at Trinity College, Cambridge where, starting inhe taught for a quarter of a century.
InRussell arrived as a student and during the s the two men came into regular contact with one another. According to Russell, Whitehead was extraordinarily perfect as a teacher. He took a personal interest in those with whom he had to deal and knew both their strong and their weak points.
He would elicit from a pupil the best of which a pupil was capable. He was never repressive, or sarcastic, or superior, or any of the things that inferior teachers like to be.
I think that in all the abler young men with whom he came in contact he inspired, as he did in me, a very real and lasting affection.
According to Whitehead, they initially expected the research to take about a year to complete. In the end, they worked together on the project for a decade.
According to Whitehead—inspired by Hermann Grassmann—mathematics is the study of pattern: After that, instead of only being a driving force behind the scenes, Whitehead became the public co-author of Russell of the actual and rigorous reconstruction of mathematics from logic.
Russell often presented this reconstruction—giving rise to the publication of the three Principia Mathematica volumes—as the reduction of mathematics to logic, both qua definitions and qua proofs.
Frege adhered to a radical universalism, and wanted the mathematical content to be entirely determined from within the logical system.
Contrary to Frege, Whitehead and Russell tempered their urge for universalism to take into account the topic-specificity of the various mathematical branches, and as a working mathematician, Whitehead was well positioned to compare the pre-logicized mathematics with its reconstruction in the logical system.
For Russell, the logicism project originated from the dream of a rock-solid mathematics, no longer governed by Kantian intuition, but by logical rigor. He actually came up with several theories, but retained the ramified theory of types in Principia Mathematica.
None of this patchwork could ultimately satisfy Russell. His original dream evaporated and, looking back later in life, he wrote: Whitehead originally conceived of the logicism project as an improvement upon his algebraic project.
It entailed a generalization from the embodiment of absolutely abstract patterns by means of algebraic forms of variables to their embodiment by means of propositional functions of real variables.
Hardy was quite right in his review of the first volume of Principia Mathematica when he wrote: Following the completion of Principia, Whitehead and Russell began to go their separate ways cf. Nevertheless, the two remained on relatively good terms for the rest of their lives.
To his credit, Russell comments in his Autobiography that when it came to their political differences, Whitehead was more tolerant than I was, and it was much more my fault than his that these differences caused a diminution in the closeness of our friendship. Physics Even with the publication of its three volumes, Principia Mathematica was incomplete.
For example, the logical reconstruction of the various branches of geometry still needed to be completed and published.Alfred North Whitehead Alfred North Whitehead () never wrote a comprehensive work in philosophy of education, but he occasionally delivered lectures concerned with educational policy.
These incisive talks are collected in his book The Aims of Education and Other Essays. The Aims of Education and Other Essays [Alfred North Whitehead] on attheheels.com *FREE* shipping on qualifying offers.
Presents the texts of a series of lectures delivered between and on the purposes and practice of educationReviews: Whitehead's most complete work on education is the book The Aims of Education and Other Essays, which collected numerous essays and addresses by Whitehead on the subject published between and The Aims of Education and Other Essays [Alfred North Whitehead] on attheheels.com *FREE* shipping on qualifying offers.
Presents the texts of a series of lectures delivered between and on the purposes and practice of education/5(17).
In education, as elsewhere, the broad primrose path leads to a nasty place ~ Alfred North Whitehead, The Aims of Education and Other Essays The problem of education is to make the pupil see the wood by means of the trees. From The Aims of Education and Other Essays, Macmillan Company, , as reprinted in Education in the Age of Science, edited by Brand Blanshard, New York, Basic Books, Here is the editor’s prefatory note: In his famous essay called “The Aims of Education,” delivered as his presidential address to the Mathematical Association of England in , Alfred North Whitehead .