About: Laws of Form

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Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: * The "primary arithmetic" (described in Chapter 4 of LoF), whose models include Boolean arithmetic; * The "primary algebra" (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; * "Equations of the second degree" (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA).

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  • Gesetze der Form (im Original englisch Laws of Form, kurz: LoF) ist der Titel eines Werks von George Spencer-Brown aus dem Jahr 1969, das Philosophie der Logik, mathematische Grundlagenforschung, Kybernetik und Erkenntnistheorie berührt. Das Buch stellt drei aufeinander aufbauende graphische Kalküle vor, die Spencer-Brown mit dem Ziel einer universellen Algebra entwickelt: 1. * die primäre Arithmetik (Kapitel 4) 2. * die primäre Algebra (Kapitel 6) 3. * Gleichungen zweiter Ordnung (Kapitel 11) Alle Kalküle beruhen auf der einzigen grundlegenden Operation des Unterscheidens. Gelegentlich wird auch nur die primäre Algebra als Gesetze der Form bezeichnet. (de)
  • Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: * The "primary arithmetic" (described in Chapter 4 of LoF), whose models include Boolean arithmetic; * The "primary algebra" (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; * "Equations of the second degree" (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA). "Boundary algebra" is Meguire's (2011) term for the union of the primary algebra and the primary arithmetic. Laws of Form sometimes loosely refers to the "primary algebra" as well as to LoF. (en)
  • 형식의 법칙들(Laws of Form)은 영국의 수학자인 (Spencer-Brown)이 1969년 쓴 책으로, 구성론에서 자주 인용된다. (ko)
  • 『形式の法則』(けいしきのほうそく, 英: Laws of Form)は、イギリス人の数学者であるG・スペンサー=ブラウンが1969年に著した書籍である。 (ja)
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  • 형식의 법칙들(Laws of Form)은 영국의 수학자인 (Spencer-Brown)이 1969년 쓴 책으로, 구성론에서 자주 인용된다. (ko)
  • 『形式の法則』(けいしきのほうそく, 英: Laws of Form)は、イギリス人の数学者であるG・スペンサー=ブラウンが1969年に著した書籍である。 (ja)
  • Gesetze der Form (im Original englisch Laws of Form, kurz: LoF) ist der Titel eines Werks von George Spencer-Brown aus dem Jahr 1969, das Philosophie der Logik, mathematische Grundlagenforschung, Kybernetik und Erkenntnistheorie berührt. Das Buch stellt drei aufeinander aufbauende graphische Kalküle vor, die Spencer-Brown mit dem Ziel einer universellen Algebra entwickelt: 1. * die primäre Arithmetik (Kapitel 4) 2. * die primäre Algebra (Kapitel 6) 3. * Gleichungen zweiter Ordnung (Kapitel 11) (de)
  • Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: * The "primary arithmetic" (described in Chapter 4 of LoF), whose models include Boolean arithmetic; * The "primary algebra" (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; * "Equations of the second degree" (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA). (en)
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  • Gesetze der Form (de)
  • Laws of Form (en)
  • 형식의 법칙들 (ko)
  • 形式の法則 (ja)
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