Bibliographic record
Abstract
_Russell_ journal (home office): E:CPBRRUSSJOURTYPE2501\PMBIB.251 : 2005-09-14 14:14 ibliographies, rchival nventories, ndexes A BIBLIOGRAPHICAL INDEX FOR PRINCIPIA MATHEMATICA K B @. he bibliographical references made by the authors of Principia MathTematica are few for such a large work. They explain it thus: “Our chief obligations will be obvious to every reader who is familiar with the literature of the subject” (PM, : viii). Yet gathered together they may provide extra light on the research for that work. Excluding literary examples and Russell’s own Principles of Mathematics, works are cited, but only half postdate the Principles. All the rest, save Jevons, are in the Principles. No works by Whitehead are cited. The latest of the citations is to a article by Hausdorff. Although the authors state that “In Geometry we have had continually before us the writings of v. Staudt, Pasch, Peano, Pieri, and Veblen”, only some of Peano’s works are cited. Cantor is also acknowledged but cited only once and not until : n. There is a reference to a fictional item, which the authors use as an example (Slawkenburgius on Noses); it is taken from Laurence Sterne’s Tristram Shandy, Bk. . Principia volume and page references, in bold type, are to the second edition . Also indicated is whether the items are in Russell’s library or archives. Original errors are silently corrected and the entries expanded where needed. Beaumont, Francis, and Fletcher, John — The Maid’s Tragedy (). : Burali-Forti, Cesare — “Una questione sui numeri transfini ”, Rendiconti del circolo matematico di Palermo, (): –. (RA, offprint) : n., : n. Cantor, Georg — “Beiträge zur Begründung der transfiniten Mengenlehre. ”, See my “A Bibliographical Index for The Principles of Mathematics”, Russell, n.s. (): –. Bernard Linsky kindly read proofs. Alasdair Urquhart pointed out Slawkenburgius to me. russell: the Journal of Bertrand Russell Studies n.s. (summer ): – The Bertrand Russell Research Centre, McMaster U. - _Russell_ journal (home office): E:CPBRRUSSJOURTYPE2501\PMBIB.251 : 2005-09-14 14:14 Mathematische Annalen, (): –. : n. Couturat, Louis — La Logique de Leibniz d’après des documents inédits (Paris: Alcan, ). (RL) : n. Dini, Ulisse — Grundlagen für eine Theorie der Functionen einer veränderlichen reellen Grösse (Leipzig: Teubner, ). : n. Dixon, A. C. — “On ‘Well-Ordered’ Aggregates”, Proceedings of the London Mathematical Society, (), , pt. (– ): –. : n. Frege, Gottlob — Begriffsschrift, eine der arithmetischen nachgebildete Formalsprache des reinen Denkens (Halle: Nebert, ). (RL) : n. — Grundgesetze der Arithmetik, vols. (Jena: H. Pohle, , ). (RL) : n., : — Die Grundlagen der Arithmetik (Breslau: Koebner, ). (RL) : — “Kritische Beleuchtung einiger Punkte in E. Schröders Vorlesungen über die Algebra der Logik”, Archiv für systematische Philosophie, (): –. (RL) : n. Hausdorff, Felix — “Untersuchungen über Ordnungstypen ”, Berichte der mathematischphysischen Klasse der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, (Feb. ): –. : n., : n. — “Untersuchungen über Ordnungstypen ”, Berichte der mathematischphysischen Klasse der Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, (Feb. ): –. : n., : n. — “Grundzüge einer Theorie der geordneten Mengen”, Mathematische Annalen, (): –. : n. Hobson, E. W. — “On the Arithmetic Continuum”, Proceedings of the London Mathematical Society, (), , pt. (–): –. : n. Jevons, Stanley — The Principles of Science (London: Macmillan, ). (RL) : n. König, Julius — “Über die Grundlagen der Mengenlehre und das Kontinuumproblem ”, Mathematische Annalen, (): –. : n. Leibniz, Gottfried Wilhelm von — Philosophical Works [i.e. Die philosophischen Werke], ed. C. I. Gerhardt , vols. (Berlin: Weidmannsche Buchhandlung, –). (RL) : Peano, Giuseppe — Formulario Mathematico [Formulaire de mathématiques]. : — Formulaire Mathématique, Vol. (Turin: Bocca, ). : n. — Formulaire de Mathématiques, Vol. (Turin: Bocca, ). (RL) : vn. — “Additione”, Rivista de Mathematica , , no. (): – (at ff.). : n. Poincaré, Henri — “Les mathématiques et la logique”, Revue de Métaphysique et de Morale , (May ): – (at ). : n., : n. Russell, Bertrand — The Principles of Mathematics (Cambridge: U. P., ). (RL) : v, , n., n., : n., : n. Schröder, Ernst — Vorlesungen über die Algebra der Logik (exakte Logik), vols. (Leipzig , , , ). (RL) (Vol. , Algebra und Logik der Relative). : n., : n. Scott, Sir Walter — Waverley, or, ’Tis Sixty Years Since _Russell_ journal (home office): E:CPBRRUSSJOURTYPE2501\PMBIB.251 : 2005-09-14 14:14 A Bibliographical Index for Principia Mathematica (Edinburgh: Ballantyne, ). (RL, ed.) : , : , : , : Vailati, Giovanni — “A proposito d’un passo del Teeteto e di una dimostrazione di Euclide ”, Rivista di filosofia e scienze affine, (May–June ). : n. Zermelo, Ernst — “Untersuchungen über die Grundlagen der Mengenlehre...
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.009 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.001 |
| Bibliometrics | 0.019 | 0.039 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.008 | 0.007 |
| Open science | 0.002 | 0.003 |
| Research integrity | 0.001 | 0.004 |
| Insufficient payload (model declined to judge) | 0.490 | 0.446 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".