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Work #1545 · Early

De Institutione Arithmetica (On Arithmetic)

Anicius Manlius Severinus Boethius
c. 500-510 · Latin
Quadrivial treatise (two books) · Late-Roman quadrivium / Pythagorean-Platonic arithmetic

Boethius's 'De Arithmetica' — the Latin transmission of Pythagorean arithmetic to the medieval West

Attribute Fingerprint

Rows where works disagree are highlighted in gold. The full ontology grid is shown.

Attribute De Institutione Arithmetica (On Arithmetic) (Early)
Time · Extent Both
Time · Ontological Status Substantival
Time · Grain Continuous
Time · Freedom Non-Deterministic
Time · Traversability Linear
Time · Dimensionality One
Time · Direction Uni-directional
Space · Extent Finite
Space · Ontological Status Substantival
Space · Curvature not engaged
Space · Dimensionality Three
Space · Locality not engaged
Matter · Extent Finite
Matter · Ontological Status Substantival
Matter · Conservation Conserved
Matter · Dimensionality Three
Matter · Locality not engaged
Observer · Time Instance Multiple
Observer · Space Instance Single
Observer · Knowledge Extent Total
Observer · Knowledge Retainment Total
Observer · Physicality Both
Observer · Agency Active
Observer · Number Plural
Observer · Metaphysical Agency Personal
Observer · Moral Authority Revelation
Observer · Theological Method
Energy · Extent Finite
Energy · Ontological Status Substantival
Energy · Conservation Conserved
Energy · Dispersibility Irreversible
Information · Ontological Status Substantival
Information · Cosmic Conservation Conserved
Information · Personal Conservation Conserved
Information · Granularity not engaged

Dimension-by-Dimension Evidence

What each work's passages reveal about its stance on each of the six dimensions.

Time

De Institutione Arithmetica (On Arithmetic)

c. 500-510.

Space

De Institutione Arithmetica (On Arithmetic)

Ostrogothic Rome.

Matter

De Institutione Arithmetica (On Arithmetic)

Two-book Latin treatise.

Observer

De Institutione Arithmetica (On Arithmetic)

Early Boethius.

Energy

De Institutione Arithmetica (On Arithmetic)

Quadrivial transmission energies.

Information

De Institutione Arithmetica (On Arithmetic)

Standard medieval-university textbook.

Internal Tensions

Where each work's argument pulls against itself.

De Institutione Arithmetica (On Arithmetic)

The standard medieval arithmetic textbook for centuries.