{"corpus":"steiner","locus":"GA 326/1922-12-26/p005","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"Even in such a book as his *Ethics*, the philosopher Spinoza placed great value on presenting his philosophical principles and postulates, if not in mathematical formulae—for actual calculations play no special part—yet in such a manner that the whole form of drawing conclusions, of deducing the later rules from earlier ones, is based on the mathematical pattern. By and by it appeared self-evident to the men of that time that in mathematics they had the right model for the attainment of inward certainty. Hence they felt that if they could express the world in thoughts arranged in the same clear-cut architectural order as in a mathematical or geometrical system, they would thereby achieve something that would have to correspond to reality. If the character of scientific thinking is to be correctly understood, it must be through the special way in which man relates to mathematics and mathematics relates to reality. Mathematics had gradually become what I would term a self-sufficient inward capacity for thinking. What do I mean by that?","text_trust":"verbatim","quote_safe":true,"title":"Lecture III","site_heading":"Mathematics, Blood Experience, and 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 Cite the unit by its title and locus, never by this heading, and do not quote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":"1922-12-26","location":null,"word_count":170,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/p005","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/AP1985/19221226p01.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/326/1922-12-26/p005"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/326/1922-12-26/p005","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. Unknown is not an assurance of a stenogram: check the edition's own notes before resting an argument on one word.","evidence":null,"evidence_translation":null,"evidence_source":null},"german_anchor":{"de_prefix":"1922-12-26","de_passages":[{"locus":"GA 326/1922-12-26/p004","url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p004"}],"bead_confidence":"medium","pairing_state":"proposed","verified":false,"length_check":{"de_words":191,"en_words":170,"ratio":0.89,"partial":false},"correspondence":"established","note":"English passage numbering is edition-relative, so the same number need not name the same paragraph in the German. The German original passage(s) above are the edition-invariant anchor — fetch them (lang='de') to verify wording before quoting across editions."},"paired_german":{"status":"paired","german":[{"locus":"GA 326/1922-12-26/p004","passage_number":4,"text":"Spinoza, der Philosoph, legte einen besonderen Wert darauf, seine philosophischen Grundsätze und Forderungen selbst in einem solchen Buche, wie in seiner «Ethik» so darzustellen, daß, wenn auch nicht mathematische Formeln, wenn auch nicht Rechnungen in diesem Buche eine besondere Rolle spielen, eben doch die Art des Schließens, die Art, spätere Gesetze aus früheren herzuleiten, nach dem Muster des Mathematischen geschehe. Das war nach und nach den Zeitgenossen wie etwas Selbstverständliches erschienen, daß man in der Mathematik ein Musterbild für die Erlangung innerer Gewißheit in sich selber trage, und daß, wenn es gelinge, den Weltenverlauf durch Gedanken so auszudrücken, daß diese Gedanken in der haarscharfen Architektonik aneinandergegliedert sind, wie die Gedanken des mathematischen, des geometrischen Systems, daß man dadurch eben etwas erreiche, was der Wirklichkeit entsprechen müsse. Aber die besondere Art, wie man sich zur Mathematik und zum Verhältnis der Mathematik zur Wirklichkeit stellt, die muß, wenn man den Charakter naturwissenschaftlichen Denkens richtig erfassen will, durchaus verstanden werden. Die Mathematik war in jener Zeit allmählich das geworden, was man im Verhältnis zu etwas Früherem, das ich gleich nachher charakterisieren werde, nennen könnte: ein sich selbst genugsames inneres Denkvermögen. Was meine ich damit?","text_trust":"verbatim","quote_safe":true,"word_count":191,"url":"https://anthroposophy.ai/v1/steiner/de/ga/326/1922-12-26/p004"}],"english":["GA 326/1922-12-26/p005"],"method":"length","confidence":"medium","correspondence":"established","length_check":{"de_words":191,"en_words":170,"ratio":0.89,"partial":false},"pairing_state":"proposed","verified":false},"witness_completeness":{"ratio":1.0,"band":"comparable","note":null,"word_count":4571,"original_word_count":4559,"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/AP1985/19221226p01.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 326/1922-12-26/p004"],"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. See witness_completeness for how much of the original this witness holds."}}