# Mathematician:Anicius Manlius Severinus Boëthius

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## Mathematician

Roman senator, consul, magister officiorum, and philosopher, who produced editions of some mathematical works which survived to be used throughout Medieval Europe.

Although widely cited as a great scholar, as a mathematician he appears to have been mediocre.

## Nationality

Italian

## History

- Born: about 480 in or near Rome, Kingdom of Odoacer in the Byzantine Empire (now Italy)
- Died: 524 in Pavia, Ostrogothic Kingdom in the Gothic Empire (now Italy)

## Works

### Mathematics

- c. 500:
*De Arithmetica*("On Arithmetic") (an adapted translation of the*Introduction to Arithmetic*by Nicomachus of Gerasa) - c. 510:
*De Musica*("On Music") (based on a lost work by Nicomachus of Gerasa and on Claudius Ptolemy's*Harmonica*

- A treatise on geometry, extant only in fragments, which appears to be a translation of book $\text I$ of Euclid's
*The Elements*

### Logic and Philosophy

#### Translations

- Porphyry's
*Isagoge* *In Categorias Aristotelis*(Aristotle's*Categories*)*De interpretatione vel periermenias*(Aristotle's*De Interpretatione*)*Interpretatio priorum Analyticorum*(two versions): (Aristotle's*Prior Analytics*)*Interpretatio Topicorum Aristotelis*: Aristotle's*Topics**Interpretatio Elenchorum Sophisticorum Aristotelis*: Aristotle's*Sophistical Refutations*

#### Commentaries

- c. 504 -- 505:
*In Isagogen Porphyrii commenta*(based on a translation by Marius Victorinus). - 507 -- 509:
*In Isagogen Porphyrii commenta*(based on Boethius' own translation (507–509). - c. 509 -- 511:
*In Categorias Aristotelis* - not before 513:
*In librum Aristotelis de interpretatione Commentaria minora* - c. 515 -- 516:
*In librum Aristotelis de interpretatione Commentaria majora* - c. 520 -- 523:
*In Aristotelis Analytica Priora* *Commentaria in Topica Ciceronis*(incomplete: the end the sixth book and the seventh are missing)

#### Original Treatises

- 505 -- 506:
*De syllogismo cathegorico* - 515 -- 520?
*De divisione* - 516 -- 522:
*De hypotheticis syllogismis* - c. 522 -- 523:
*De topicis differentiis* - c. 523:
*Introductio ad syllogismos cathegoricos*

*Opuscula Sacra*(Theological Treatises)- c. 520 -- 521:
*De Trinitate* *Utrum Pater et Filius et Spiritus Sanctus de divinitate substantialiter praedicentur*(Whether Father and Son and Holy Spirit are Substantially Predicated of the Divinity)*Quomodo substantiae in eo quod sint bonae sint cum non sint substantialia bona*[also known as*De hebdomadibus*] (How Substances are Good in that they Exist, when They are not Substantially Good)*De fide Catholica**Contra Eutychen et Nestorium*(Against Eutyches and Nestorius)- 524 -- 525:
*De consolatione Philosophiae*

- c. 520 -- 521:

## Also known as

He is usually referred to as **Boethius**.

## Sources

- John J. O'Connor and Edmund F. Robertson: "Anicius Manlius Severinus Boëthius": MacTutor History of Mathematics archive

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Boethius**(c.475-524) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Boethius**(c.475-524)