{"corpus":"steiner","locus":"GA 151/1914-01-21/p022","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"We now have side by side four justifiable world-outlooks, each with significance for its particular domain. Between Materialism and Idealism there is a certain transition. The crudest kind of materialism—one can observe it specially well in our day, although it is already on the wane—will consist in this, that people carry to an extreme the saying of Kant—Kant did not do this himself!—that in the individual sciences there is only so much real science as there is mathematics. This means that from being a materialist one can become a ready-reckoner of the universe, taking nothing as valid except a world composed of material atoms. They collide and gyrate, and then one calculates how they inter-gyrate. By this means one obtains very fine results, which show that this way of looking at things is fully justified. Thus you can get the vibration-rates for blue, red, etc.; you take the whole world as a kind of mechanical apparatus, and can reckon it up accurately. But one can become rather confused in this field. One can say to oneself: “Yes, but however complicated the machine may be, one can never get out of it anything like the perception of blue, red, etc. Thus if the brain is only a complicated machine, it can never give rise to what we know as soul-experiences.” But then one can say, as du Bois-Reymond once said: If we want to explain the world in strictly mathematical terms, we shall not be able to explain the simplest perception, but if we go outside a mathematical explanation, we shall be unscientific. The most uncompromising materialist would say, “No, I do not even calculate, for that would presuppose a superstition—it would imply that I assume that things are ordered by measure and number.” And anyone who raises himself above this crude materialism will become a mathematical thinker, and will recognize as valid only whatever can be treated mathematically. From this results a conception of the universe that really admits nothing beyond mathematical formulae. This may be called *Mathematism*.","text_trust":"verbatim","quote_safe":true,"title":"Lecture II","site_heading":"Twelve Worldviews: The Zodiac of Philosophical Standpoints","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":"1914-01-21","location":null,"word_count":338,"url":"https://anthroposophy.ai/v1/steiner/en/ga/151/1914-01-21/p022","alignment_confidence":"high","alignment_reason":"beads:length","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Charles Davy","identified_edition":"RSP1961","book_title":"Human and Cosmic Thought (1961)","publisher":"Rudolf Steiner Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA151/English/RSP1961/19140121p01.html","evidence":"edition_cover_credit","note":"The lecture's own page names no translator; the cover of the book it was taken from (https://www.rsarchive.org/Lectures/GA151/English/RSP1961/HuCoTh_index.html) lists it and names the translator. Where the cover names several, it does not say which lecture each translated.","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/151/1914-01-21/p022"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/151/1914-01-21/p022","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},"other_renderings":{"loci":[{"locus":"GA 151/1914-01-21_02","ga":"151","lecture":"1914-01-21_02","kind":"renderings","relation":"another translation or transcription of the same lecture"}],"note":"The same lecture is also served at the loci listed, each with how it relates to this one. They are ONE witness, not independent attestations: quote the rendering you fetched, and do not cite another as corroborating it. Wording differs between translations, so a quotation found in one need not occur in the other."},"german_anchor":{"de_prefix":"1914-01-21","de_passages":[{"locus":"GA 151/1914-01-21/p025","url":"https://anthroposophy.ai/v1/steiner/de/ga/151/1914-01-21/p025"}],"bead_confidence":"high","pairing_state":"verified","verified":true,"evidence":["length","anchors","reader"],"reader_german":["GA 151/1914-01-21/p025"],"length_check":{"de_words":362,"en_words":338,"ratio":0.93,"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 151/1914-01-21/p025","passage_number":25,"text":"Wir haben jetzt schon vier nebeneinander berechtigte Weltanschauungen, von denen jede ihre Bedeutung hat für ihr besonderes Gebiet. Zwischen dem Materialismus und dem Idealismus ist ein gewisser Übergang. Der ganz grobe Materialismus — man kann ihn ja besonders in unserer Zeit, obwohl er heute schon im Abfluten ist, gut beobachten - wird darin bestehen, daß man bis zum Extrem ausbildet das Kantische Diktum - Kant selber hat es nicht getan! -, daß in den einzelnen Wissenschaften nur so viel wirkliche Wissenschaft ist, als darin Mathematik ist. Das heißt, man kann vom Materialisten zum Rechenknecht des Universums werden, indem man nichts anderes gelten läßt als die Welt, angefüllt mit materiellen Atomen. Sie stoßen sich, wirbeln durcheinander, und man rechnet dann aus, wie die Atome durcheinanderwirbeln. Da bekommt man sehr schöne Resultate heraus, was bezeugen mag, daß diese Weltanschauung ihre volle Berechtigung hat. So bekommt man zum Beispiel die Schwingungszahlen für Blau, für Rot und so weiter; man bekommt die ganze Welt wie eine Art von mechanischem Apparat und kann diesen fein berechnen. Man kann aber etwas irre werden an dieser Sache. Man kann sich zum Beispiel sagen: Ja, aber wenn man eine noch so komplizierte Maschine hat, so kann doch aus dieser Maschine niemals, selbst wenn sie noch so kompliziert sich bewegt, hervorgehen, wie man etwa Blau, Rot und so weiter empfindet. Wenn also das Gehirn nur eine komplizierte Maschine ist, so kann doch aus dem Gehirn nicht das hervorgehen, was man als Seelenerlebnisse hat. Aber man kann dann sagen, wie einstmals Du Bors-Reymond gesagt hat: Man wird, wenn man die Welt nur mathematisch erklären will, zwar die einfachste Empfindung nicht erklären können; will man aber bei der mathematischen Erklärung nicht stehenbleiben, so wird man unwissenschaftlich. -— Der grobe Materialist würde sagen: Nein, ich rechne auch nicht; denn das setzt schon einen Aberglauben voraus, den Aberglauben, daß ich annehme, daß die Dinge nach Maß und Zahl geordnet sind. Und wer nun über diesen groben Materialismus sich erhebt, wird ein mathematischer Kopf und läßt nur das als wirklich gelten, was eben in Rechenformeln gebracht werden kann. Das ergibt eine Weltanschauung, die eigentlich nichts gelten läßt als die mathematische Formel. Man kann sie Mathematizismus nennen.","text_trust":"verbatim","quote_safe":true,"word_count":362,"url":"https://anthroposophy.ai/v1/steiner/de/ga/151/1914-01-21/p025"}],"english":["GA 151/1914-01-21/p022"],"method":"length","confidence":"high","correspondence":"established","length_check":{"de_words":362,"en_words":338,"ratio":0.93,"partial":false},"pairing_state":"verified","verified":true,"evidence":["length","anchors","reader"],"reader_german":["GA 151/1914-01-21/p025"]},"witness_completeness":{"ratio":0.96,"band":"comparable","note":null,"word_count":6302,"original_word_count":6568,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Charles Davy","identified_edition":"RSP1961","book_title":"Human and Cosmic Thought (1961)","publisher":"Rudolf Steiner Press","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA151/English/RSP1961/19140121p01.html","evidence":"edition_cover_credit","note":"The lecture's own page names no translator; the cover of the book it was taken from (https://www.rsarchive.org/Lectures/GA151/English/RSP1961/HuCoTh_index.html) lists it and names the translator. Where the cover names several, it does not say which lecture each translated.","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 151/1914-01-21/p025"],"missing_from_translation":[],"present_only_in_translation":[],"bead_confidence":"high","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."}}