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Enregistrement W1548938469

Poststructuralism and Deconstruction: A Mathematical History

2012· article· en· W1548938469 sur OpenAlexaff
Vladimir Tasić

Notice bibliographique

RevueCosmos and history · 2012
Typearticle
Langueen
DomaineArts and Humanities
ThématiquePhilosophy, Science, and History
Établissements canadiensUniversity of New Brunswick
Organismes subventionnairesnon disponible
Mots-clésPhilosophyEpistemologyMetaphysicsPhenomenology (philosophy)Foundations of mathematicsTranscendental numberModern philosophySubject (documents)
DOInon disponible

Résumé

récupéré en direct d'OpenAlex

Examples are not lacking of philosophers whose outlook was inspired or in some way influenced by thinking about meaning of mathematics: Wittgenstein, Husserl, Russell, before them Peirce, and more recently Badiou, to name only clearest cases in point. Philosopher and logician Jean Cavailles was undoubtedly influential on post-war philosophy in France, and effects of his critique of philosophy of subject, especially of Kant and Husserl, carried an important impulse from formalist mathematics to twentieth-century French Even Heidegger, although critical of formal logic and technical reason (like some of his day), followed debate on nature of knowledge and may have been provoked by it--especially by controversy regarding time-continuum--to attempt in his Being and Time (1927) to destroy traditional metaphysics and thus transgress philosophical options that found themselves at loggerheads over question of foundations of mathematics. The link works in other direction, too, although it has become something of a rarity to find articles that contain references to Kant, Fichte, Schopenhauer and Nietzsche. During foundational debate in 1920s, one could see this in articles of Hermann Weyl and L.E.J. Brouwer; Weyl was actively interested in phenomenology and maintained correspondence with Husserl, while Kurt Godel is known to have been a serious reader of Kant and Husserl. Much earlier, Hermann Grassmann (a major influence on Alfred North Whitehead) had built on ideas of his father, Justus Grassmann, who wrote under influence of Schelling.(1) These links have not been severed, even if they remain unstated. Thus, for example, philosophically reticent Bourbaki collective was, according one of its members, a brainchild of German philosophy. One finds influence of Husserl and Heidegger in essays of Gian-Carlo Rota, and at least implicitly in work of Petr Vopenka on alternative set theory. It may not be norm, but examples of cross-fertilization are not as difficult to find as oversimplified binarism of cultures would have us believe. My goal here is to indicate relevance of mathematics to several important points made by Jacques Derrida. A number of Derrida's arguments bear resemblance to critiques of logic and excesses of formalist mathematics. These objections hark back to ideas of intuitionist who--some, I think, under influence of German romantic idealism--rebelled in early 1900s against hegemony of formal logic and symbolic reduction of all thought to computation. The situation is not quite that simple, since Derrida apparently also employs certain ideas of formalist mathematics in his critique of idealist metaphysics: for example, he is on record saying that the effective progress of notation goes along with deconstruction of metaphysics.(2) Derrida's position can, I think, be interpreted as a sublation of two completely opposed schools in For this reason it is not possible to reduce it to a readily available philosophy of mathematics. One could perhaps say that Derrida continues and critically reworks Heidegger's attempt to deconstruct traditional metaphysics, and that his method is more mathematical than Heidegger's because he has at his disposal entire pseudo-mathematical tradition of structuralist thought. He has implied in an interview given to Julia Kristeva that mathematics could be used to challenge logocentric theology, and hence it does not seem unreasonable to try looking for analogies in his A word of caution, though. The similarities I will outline here are similarities of argumentative techniques, not of philosophical outlooks. The analogies--which are informed and limited by my own interpretive ability and my belief that mathematics and continental philosophy are deeply related--are not to be confused with gross misstatement that mathematicians have done it all. …

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 distillée sur la base complète

Imitation des enseignants

Ni prévalence calibrée, ni vérité terrain. Validation humaine à venir. Apprise à partir de 10 348 étiquettes directes de Codex et de 10 348 étiquettes directes de Gemma. Le mode candidate est l'union des têtes enseignantes seuillées; le consensus est leur intersection. Ces sorties portent le statut machine_predicted_unvalidated et ne sont ni des étiquettes humaines ni des étiquettes directes de modèles de pointe.

score de la tête « metaresearch » (Codex)0,000
score de la tête « metaresearch » (Gemma)0,000
Version: codex-gemma-dda1882f352aStatut de validation: machine_predicted_unvalidated
Catégories candidatesCharge utile insuffisante (le modèle a refusé de juger)
Catégories consensuellesaucune
DomaineSignal candidat: aucune · Signal consensuel: aucune
Devis d'étudeSignal candidat: Sans objet · Signal consensuel: aucune
GenreSignal candidat: Empirique · Signal consensuel: aucune
Score de désaccord entre enseignants0,896
Score d'incertitude au seuil0,997

Scores Codex et Gemma par catégorie

CatégorieCodexGemma
Métarecherche0,0000,000
Méta-épidémiologie (sens strict)0,0000,000
Méta-épidémiologie (sens large)0,0000,000
Bibliométrie0,0000,000
Études des sciences et des technologies0,0000,002
Communication savante0,0000,000
Science ouverte0,0000,000
Intégrité de la recherche0,0000,000
Charge utile insuffisante (le modèle a refusé de juger)0,0040,000

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.

Tête enseignante Opus0,046
Tête enseignante GPT0,206
Écart entre enseignants0,160 · la distance entre les deux têtes enseignantes sur ce seul travail
Statut de validationscore_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 découle

Classification

machine, non validée

Prédiction automatique; un appel candidat d’une seule tête enseignante, pas un consensus.

Devis d'étudeSans objet
Domainenon disponible
GenreEmpirique

Le détail, modèle par modèle et score par score, se trouve en fin de page sous « Comment cette classification a été obtenue ».

En bref

Citations1
Publié2012
Routes d'admission1
Résumé présentoui

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