{"corpus":"steiner","locus":"GA 125/1910-08-26/p020","lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"text":"It is useful in any case to be familiar with at least that rigor that man can acquire through mathematical training. For everything that is legitimately produced in the field of spiritual science must, insofar as a thinking element is involved, be imbued with this rigorously disciplined thinking. This may disappear behind the facts, but anyone who produces in the field of spiritual science should be aware that this thinking should be in the background. Otherwise spiritual science will be something that can easily be trampled to death by those who live outside the spiritual. And we will not be able to say everywhere that there is bad will when we are not understood. In the field of spiritual science, it must become more and more apparent that we place the same demands on our own thinking as, one might say, the strictest mathematician places on himself. The fact that we have seerical research at our disposal will protect us from building mathematical structures into the wind, so to speak. I say this because there are also many arguments to be said against the building of Riemann's and Lobachevsky's geometry. I just wanted to characterize the desire for knowledge. But that it would be useful to be familiar with mathematical structures, I tried to show in my “Philosophy of Freedom”. There is a chapter in it that I would like to call “On the Lustwert of Life”. Until I had written this chapter on the pleasure value of life, there was much talk in philosophical circles of the pleasure balance of life, and one put the 'world of facts in such a way that, for my sake, all the pleasure of a life was summed up as an a and all the displeasure of the same life as a b, and the difference was called the pleasure balance, the excess of pleasure over displeasure. If you put pleasure and displeasure into a formula, you have chosen a difference, you have chosen what you can call the mathematical formula of subtraction. The important thing in that chapter is that I showed how it is impossible to summarize pleasure and displeasure in such a way that they are brought into a relationship of minuend and subtrahend. What you get out of it will never match real experience. I have shown that you only get the pleasure value if you do it this way: if you divide the a by the 5, then the quotient c gives you the pleasure value:","text_trust":"verbatim","quote_safe":true,"title":"VI. The Present State of Philosophy and Science","site_heading":null,"date":"1910-08-26","location":null,"word_count":418,"url":"https://anthroposophy.ai/v1/steiner/en/ga/125/1910-08-26/p020","alignment_confidence":"high","alignment_reason":"beads:identity","two_voice_volume":false,"translation_credit":{"scope":"unit","status":"established","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":"Paths and Goals of Spiritual Man","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA125/English/SOL2024/19100826p01.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/125/1910-08-26/p020"},{"lang":"en","edition":"English","edition_basis":null,"is_original":false,"is_default_edition":true,"url":"https://anthroposophy.ai/v1/steiner/en/ga/125/1910-08-26/p020","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},"paired_german":{"status":"paired","german":[{"locus":"GA 125/1910-08-26/p020","passage_number":20,"text":"Es ist überhaupt nützlich, wenn man wenigstens jene Strenge kennt, welche sich der Mensch durch mathematische Schulung aneignen kann. Denn alles, was mit Berechtigung auf geisteswissenschaftlichem Gebiet produziert wird, muß, insofern ein denkerisches Element dabei in Betracht kommt, von diesem streng disziplinierten Denken durchtränkt sein. Das mag hinter den Tatsachen verschwinden; aber wer geisteswissenschaftlich produziert, sollte sich bewußt sein, daß dieses Denken im Hintergrunde stehen sollte. Sonst wird Geisteswissenschaft etwas sein, das leicht von dem, der außer dem Geistigen lebt, zu Tode getreten werden kann. Und man wird nicht überall sagen können, daß böser Wille vorliegt, wenn wir nicht verstanden werden. Das muß nämlich auf geisteswissenschaftlichem Gebiet immer mehr und mehr hervortreten, daß wir an unser eigenes Denken die Anforderungen stellen, die, man möchte sagen, der strengste Mathematiker an sich stellt. Dadurch, daß uns die seherische Forschung zu Gebote steht, werden wir davor geschützt sein, gleichsam in den Wind hinein mathematische Gebäude zu bauen. Ich sage das, weil eben auch manches Kontra gegen das Gebäude der Riemannschen und Lobatschewskijschen Geometrie zu sagen ist. Ich wollte nur die Erkenntnissehnsucht charakterisieren. Daß es aber nützlich wäre, mit mathematischem Gefüge bekannt zu sein, das versuchte ich in meiner «Philosophie der Freiheit» zu zeigen. Darin ist ein Kapitel, das ich nennen möchte «Über den Lustwert des Lebens». Bis zu dem Augenblick, in dem ich dieses Kapitel über den Lustwert des Lebens geschrieben hatte, sprach man in philosophischen Kreisen viel von der Lustbilanz des Lebens, und man setzte in eine scheinbar mathematische Formel, welche die Lustbilanz geben sollte, die 'Tatsachenwelt so ein, daß man meinetwillen alle Lust eines Lebens summierte zu einem a und alle Unlust desselben Lebens zu einem b, und die Differenz etwa die Lustbilanz nannte, den Überschuß von Lust über Unlust. Man hat, wenn man Lust und Unlust so in eine Formel bringt, eine Differenz gewählt, dasjenige gewählt, was man die mathematische Formel der Subtraktion nennen kann. Das Wesentliche in jenem Kapitel ist, daß ich gezeigt habe, wie es unmöglich ist, Lust und Unlust so zusammenzufassen, daß sie in ein Verhältnis von Minuend und Subtrahend gebracht werden. Was man da herausbringt, wird mit der wirklichen Erfahrung niemals stimmen. Ich habe gezeigt, daß man den Lustwert nur dann bekommt, wenn man es so macht: Wenn man das a dividiert durch das 5, dann gibt das c als Quotient den Lustwert:","text_trust":"verbatim","quote_safe":true,"word_count":387,"url":"https://anthroposophy.ai/v1/steiner/de/ga/125/1910-08-26/p020"}],"english":["GA 125/1910-08-26/p020"],"method":"identity","confidence":"high","correspondence":"established","length_check":{"de_words":387,"en_words":418,"ratio":1.08,"partial":false},"pairing_state":"verified","verified":true,"evidence":["length","meaning","anchors","audit"]},"witness_completeness":{"ratio":1.04,"band":"comparable","note":null,"word_count":7932,"original_word_count":7595,"may_be_abridged":false},"witness_quality":{"translator":{"scope":"unit","status":"recorded","translator":"Steiner Online Library","identified_edition":"SOL2024","book_title":"Paths and Goals of Spiritual Man","publisher":"Steiner Online Library","publisher_inferred":true,"match_score":1.0,"source_url":"https://www.rsarchive.org/Lectures/GA125/English/SOL2024/19100826p01.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 125/1910-08-26/p020"],"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. 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