Notice bibliographique
Résumé
c:\users\ken\documents\type\red \rj red.docx -- : RUSSELL’S PRINCIPLES OF MATHEMATICS1 G. E. Moore [Bertrand Russell. The Principles of Mathematics. Vol. . Cambridge: Cambridge U. P., . Pp. (), xxix, .] f the philosophical books published in the United Kingdom in the most important is Mr. Russell’s Principles of Mathematics. 2 In this book, Mr. Russell tells us, he has two main objects. His first object is to establish the two very important propositions () “that all pure mathematics deals exclusively with concepts definable in terms of a very small number of fundamental logical concepts” and () “that all its propositions are deducible from a very small number of fundamental logical principles.” The examination of the principal branches of pure mathematics, which is necessary to establish these two propositions, occupies the last six Parts of the book, which are entitled respectively “Number”, “Quantity”, “Order”, “Infinity and Continuity”, “Space”, and “Matter and Motion”. In these parts there is much which cannot be easily understood without a special knowledge of Mathematics, and much which has little bearing on philosophy, except so far as it helps to establish Mr. Russell’s two main propositions; but there is much also which is of considerable importance for philosophy, quite apart from its bearing on these two propositions: in particular, Mr. Russell examines very carefully the conceptions of Infinity and Continuity, and attempts to shew that they involve no antinomies. Part i, on the other hand, is devoted to Mr. Russell’s second object —“the explanation of the fundamental concepts which mathematics accepts as indefinable”, and is almost entirely philosophical in its nature. I shall endeavour to give some account () of the meaning and consequences of Mr. Russell’s two propositions concerning the relation of Logic and Mathematics () of some of the more important points dealt with in Part i and () of the theory of Infinity and Continuity. Mr. Russell is eminently qualified for his task by a thorough knowledge of Mathematics and by great philosophical acumen ; and it is certain that no philosopher ought in future to handle any of the subjects discussed in this book, without taking account of the arguments advanced in it. 1 The Principles of Mathematics. 2 [Typeset from a photocopy of the manuscript provided to the Russell Archives by Dorothy Moore in (ra Rec. Acq. ). The original ms. is in the Moore papers in Cambridge U. Library. The review is © the Estate of G. E. Moore and is published with the Estate’s permission. Moore revised the ms. a great deal, the foliation being an indication: , a, –(), –(), (), (), –(), (), (), (), a, , (?), –. Proofread by A. Duncan and K. Blackwell.] O Moore’s Review of The Principles of Mathematics c:\users\ken\documents\type\red \rj red.docx -- : Mr. Russell maintains, we have seen, the two very important propositions () “that all pure mathematics deals exclusively with concepts definable in terms of a very small number of fundamental logical concepts” and () “that all its propositions are deducible from a very small number of fundamental logical principles.” And in order to bring out the philosophical importance of his book, it will be well to explain as clearly as possible precisely what he means by them.There are several points, which require notice, in order that we may form a just estimate of what he is maintaining. In the first place, Mr. Russell makes then two assertions with regard to all the propositions of pure mathematics.What propositions does he mean to include in this description? It is important to recognize that there are certain kinds of propositions to which his assertions do not, and are not meant to, apply. It might, for instance, be thought that the familiar proposition of Euclid that “The three angles of every triangle are equal to two right angles” was a proposition of pure mathematics. It is not, however, one of the propositions of which Mr. Russell is speaking. It cannot be deduced from any logical principles . It follows only if we assume certain of Euclid’s axioms, which cannot themselves be deduced from the principles of Logic. All that can be deduced from logical principles is that if these axioms of Euclid are true, then the...
Récupéré en direct depuis OpenAlex et désinversé. Les résumés ne sont pas conservés dans cette base de données : les index inversés représentent 8,6 Go des 9,3 Go de texte de la base, et le serveur dispose de 13 Go libres.
Comment cette classification a été obtenuedéplier
Prédiction machine sur la base complète
Imitation des enseignantsNi prévalence calibrée, ni vérité terrain. Validation humaine à venir. Le volet Gemma est une étiquette directe du modèle pour chaque travail de la base, lue sur la notice réduite au titre. Le volet Codex est un classifieur appris des 10 348 étiquettes directes de Codex et calibré sur les taux pondérés de l'échantillon; les champs sans appui suffisant ne portent aucun appel Codex. Le mode candidate est l'union des deux volets; le consensus est leur intersection. Ces sorties portent le statut machine_predicted_unvalidated et ne sont pas des étiquettes humaines.
Scores du classifieur distillé par catégorie (deux têtes)
| Catégorie | Codex | Gemma |
|---|---|---|
| Métarecherche | 0,006 | 0,010 |
| Méta-épidémiologie (sens strict) | 0,003 | 0,002 |
| Méta-épidémiologie (sens large) | 0,003 | 0,002 |
| Bibliométrie | 0,005 | 0,004 |
| Études des sciences et des technologies | 0,004 | 0,013 |
| Communication savante | 0,011 | 0,011 |
| Science ouverte | 0,003 | 0,005 |
| Intégrité de la recherche | 0,005 | 0,013 |
| Charge utile insuffisante (le modèle a refusé de juger) | 0,018 | 0,025 |
Scores machine (provisoires)
Les deux têtes enseignantes du modèle étudiant, lues sur ce travail. Un score ordonne la base pour la relecture; il n'affirme jamais une catégorie, et le statut de validation accompagne chaque rangée tel quel.
Scores de référence d'un modèle non mature (critères de maturité non atteints, 7 itérations). Un score ordonne; il n'affirme jamais une catégorie.
score_only:v0-immature-baseline · tel quel depuis la passe de notation : score_only signifie que le nombre peut ordonner les travaux, et qu'aucune étiquette de catégorie n'en découleClassification
machine, non validéePrédiction automatique; un appel candidat d’une seule source (Gemma direct ou Codex distillé), pas un consensus.
Le détail, modèle par modèle et score par score, se trouve en fin de page sous « Comment cette classification a été obtenue ».