{"corpus":"steiner","locus":"GA 326/1922-12-27/p021","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"Berkeley became an opponent of the whole infinitesimal calculus[^8] to the extent that it was then known. He opposed what was beyond experience. In this regard, Berkeley's feeling for things was often more sensitive than his thoughts. He felt how, to the quantities that the mind could conceive, the emergence of infinitesimal calculus added other quantities; namely, the differentials, which attain definition only in the differential coefficient. Differentials must be conceived in such a way that they always elude our thinking, as it were. Our thinking refuses to completely permeate them. Berkeley regarded this as a loss of reality, since knowledge for him was only what could be experienced. Therefore he could not approve of mathematical ideas that produced the indetermination of the differentials.","text_trust":"verbatim","quote_safe":true,"title":"Lecture IV","site_heading":"Mathematics Severed from Human Experience: The Birth of Modern Science","site_heading_note":"A heading the site wrote for this unit from a summary of it; not in the edition, and not the words of Rudolf Steiner or of the translator. Cite the unit by its title and locus, never by this heading, and do not quote it.","date":"1922-12-27","location":null,"word_count":124,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-27/p021","alignment_confidence":"medium","alignment_reason":"beads:length","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Maria St. Goar","identified_edition":"AP1985","book_title":"The Origins of Natural Science","publisher":"Anthroposophic Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA326/English/AP1985/19221227p01.html","evidence":"lecture_page_line","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"edition_coverage":{"de":["original"],"en":["English"]},"available_versions":[{"lang":"de","edition":"original","edition_basis":null,"is_original":true,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-27/p021"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-27/p021","paragraph_aligned":true}],"record":{"record_type":"unknown","scope":"volume","note":"How this text was taken down (shorthand transcript, listeners' notes or manuscript) is not on record here. 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Gewiß, er ist ein Gegner desjenigen, was nicht erlebbar da ist, und in dieser Beziehung hat Berkeley manchmal ein feineres Gefühl für die Dinge, als er etwa feine Gedanken hätte. Seine Gefühle, seine Empfindungen sind feiner, als es seine Gedanken sind. Er empfindet, wie das Heraufkommen der Infinitesimalrechnung zu den im Geiste erfaßbaren Größen solche hinzubringt, eben Differentiale, die eine gewisse Bestimmtheit erst in den Differentialquotienten erreichen, Differentiale, die eigentlich so konzipiert werden müssen, daß sie dem Denken gewissermaßen immer entfallen, daß das Denken sich nicht einläßt auf ihre vollständige Durchdringung. Das ist für Berkeley etwas, womit er zugleich die Wirklichkeit verliert, denn da er auf das Erlebbare hält in allem Erkennen, so kann er sich nicht entschlüpfen lassen die mathematischen Vorstellungen in das Unbestimmte der Differentiale hinein.","text_trust":"verbatim","quote_safe":true,"word_count":141,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-27/p017"}],"english":["GA 326/1922-12-27/p021"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":141,"en_words":124,"ratio":0.88,"partial":false},"pairing_state":"proposed","verified":false},"witness_completeness":{"ratio":1.05,"band":"comparable","note":null,"word_count":6036,"original_word_count":5743,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Maria St. Goar","identified_edition":"AP1985","book_title":"The Origins of Natural Science","publisher":"Anthroposophic Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA326/English/AP1985/19221227p01.html","evidence":"lecture_page_line","publisher_note":"The publisher is inferred from the edition code in this lecture's source URL, not stated by the source page. The translator IS verified for this lecture: its own source names the translator (evidence: the lecture's page, rsarchive's lecture list, or the cover of the book it was published in), and that page's text was matched against this unit (see match_score and source_url). Cite the translator with confidence; attribute the publisher only as probable."},"entity_parity":{"status":"ok","checked_against":["GA 326/1922-12-27/p017"],"missing_from_translation":[],"present_only_in_translation":[],"bead_confidence":"medium","note":"Every load-bearing name in the German counterpart appears in this English passage. That is a check on NAMES only: a translation can keep every name and still reverse who acts on whom, change a number, or soften a claim. Read the German for anything you intend to rest an argument on."},"note":"quote_safe certifies the bytes of this text. This block is about the translation as a WITNESS: who made it, and whether it carries the same names as the original. 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