{"corpus":"steiner","locus":"GA 30/35_chaos/p005","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"And with such feelings, Paul Mongr& steps onto the ground of the great question of existence. That is his danger. It is doubtless that his conclusions will be decisive for these highest questions of existence, just as the Pythagorean theorem is decisive for reality, if the presuppositions of reality are just as true for those conclusions as they are for the Pythagorean theorem. Yes, if it weren't for this \"if\"!!! Construct mathematical relationships. There are two possibilities for you. Either in reality there are somewhere such presuppositions as you make, then you can also spin the conclusions that reality draws from these presuppositions into your mathematical web. If, however, reality does not fulfill your presuppositions, then your mathematical inventions will float in the void. But neither the one nor the other does any harm to the truth of your assertions. The Pythagorean theorem would remain true even if it were not fulfilled in any reality. The truth of the mathematical is therefore not at all dependent on reality in this respect. The mathematician is therefore only dealing with himself.","text_trust":"verbatim","quote_safe":true,"title":"35. Chaos","site_heading":null,"date":null,"location":null,"word_count":179,"url":"https://anthroposophy.ai/v1/steiner/en/ga/30/35_chaos/p005","alignment_confidence":"medium","alignment_reason":"beads:embedding","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":null,"publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Articles/GA030/English/SOL2024/35_Chaos.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/30/35_chaos/p005"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/30/35_chaos/p005","paragraph_aligned":true}],"german_anchor":{"de_prefix":"35_chaos","de_passages":[{"locus":"GA 30/35_chaos/p005","url":"https://anthroposophy.ai/v1/steiner/de/ga/30/35_chaos/p005"},{"locus":"GA 30/35_chaos/p006","url":"https://anthroposophy.ai/v1/steiner/de/ga/30/35_chaos/p006"}],"bead_confidence":"medium","pairing_state":"verified","verified":true,"evidence":["anchors","reader"],"reader_german":["GA 30/35_chaos/p006"],"length_check":{"de_words":213,"en_words":222,"ratio":1.04,"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 30/35_chaos/p005","passage_number":5,"text":"Der Mathematiker ist daran gewöhnt, nur sich, nur seine Denknotwendigkeiten zu fragen, wenn er Entscheidungen trifft. Und er ist ebenso daran gewöhnt, seine Wahrheiten in der Wirklichkeit unbedingt gültig zu finden. Mit solchen Gefühlen betritt er im Grunde jede Sphäre, in die ihn das Leben führt.","text_trust":"verbatim","quote_safe":true,"word_count":46,"url":"https://anthroposophy.ai/v1/steiner/de/ga/30/35_chaos/p005"},{"locus":"GA 30/35_chaos/p006","passage_number":6,"text":"Und mit solchen Gefühlen betritt Paul Mongr& den Boden der großen Daseinsfrage. Das ist seine Gefahr. Es ist zweifellos, daß seine Schlußfolgerungen für diese höchsten Daseinsfragen maßgebend sein werden, wie der pythagoreische Lehrsatz für die Wirklichkeit maßgebend ist, wenn für jene Schlußfolgerungen die Voraussetzungen der Wirklichkeit ebenso zutreffen wie für den pythagoreischen Lehrsatz. Ja, wenn dieses «wenn» nicht wäre!!! Erdichtet mathematische Zusammenhänge. Es gibt für euch zwei Möglichkeiten. Entweder in der Wirklichkeit sind irgendwo solche Voraussetzungen, wie ihr sie macht, dann könnt ihr auch die Folgerungen, welche die Wirklichkeit aus diesen Voraussetzungen zieht, in euer mathematisches Netz einspinnen. Erfüllt euch aber die Wirklichkeit eure Voraussetzungen nicht, dann schwebt ihr mit euren mathematischen Erdichtungen im Leeren. Aber das eine wie das andere schadet der Wahrheit eurer Behauptungen gar nichts. Der pythagoreische Lehrsatz bliebe wahr, auch wenn er in keiner Wirklichkeit sich erfüllte. Die Wahrheit des Mathematischen ist also in dieser Hinsicht von der Wirklichkeit gar nicht abhängig. Der Mathematiker hat es somit lediglich mit sich selbst zu tun.","text_trust":"verbatim","quote_safe":true,"word_count":167,"url":"https://anthroposophy.ai/v1/steiner/de/ga/30/35_chaos/p006"}],"english":["GA 30/35_chaos/p004","GA 30/35_chaos/p005"],"method":"embedding","confidence":"medium","correspondence":"established","length_check":{"de_words":213,"en_words":222,"ratio":1.04,"partial":false},"pairing_state":"verified","verified":true,"evidence":["anchors","reader"],"reader_german":["GA 30/35_chaos/p006"]},"witness_completeness":{"ratio":0.91,"band":"comparable","note":null,"word_count":2635,"original_word_count":2885,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":null,"publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Articles/GA030/English/SOL2024/35_Chaos.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 30/35_chaos/p005","GA 30/35_chaos/p006"],"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."}}