Clear all
Work #1815

On the Measurement of the Earth (reconstructed)

Eratosthenes of Cyrene
c. 240 BCE · Ancient Greek
Scientific treatise (reconstructed from secondary sources) · Hellenistic mathematical geography and astronomy

Shadow, distance, geometry — and the size of the world is known: the first precision measurement of the Earth

Attribute Fingerprint

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

Attribute On the Measurement of the Earth (reconstructed)
Time · Extent Infinite
Time · Ontological Status Substantival
Time · Grain Continuous
Time · Freedom Deterministic
Time · Traversability Linear
Time · Dimensionality One
Time · Direction Uni-directional
Space · Extent Finite
Space · Ontological Status Substantival
Space · Curvature Curved
Space · Dimensionality Three
Space · Locality Local
Matter · Extent Finite
Matter · Ontological Status Substantival
Matter · Conservation Conserved
Matter · Dimensionality Three
Matter · Locality Local
Observer · Time Instance Single
Observer · Space Instance Single
Observer · Knowledge Extent Mediated
Observer · Knowledge Retainment Total
Observer · Physicality Embodied
Observer · Agency Active
Observer · Number Plural
Observer · Metaphysical Agency not engaged
Observer · Moral Authority Reason
Observer · Theological Method
Energy · Extent not engaged
Energy · Ontological Status not engaged
Energy · Conservation not engaged
Energy · Dispersibility not engaged
Information · Ontological Status Substantival
Information · Cosmic Conservation Conserved
Information · Personal Conservation not engaged
Information · Granularity Continuous

Dimension-by-Dimension Evidence

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

Time

On the Measurement of the Earth (reconstructed)

Substantival and deterministic: the solstice recurs predictably; astronomical time is the stable frame of observation.

Space

On the Measurement of the Earth (reconstructed)

Curved (spherical Earth), finite, measurable — the defining insight of the treatise.

Matter

On the Measurement of the Earth (reconstructed)

The Earth is a material body with a definite circumference. Substantival, finite, conserved.

Observer

On the Measurement of the Earth (reconstructed)

The empirical observer stationed at Alexandria, measuring shadow angles and computing. Mediated knowledge.

Energy

On the Measurement of the Earth (reconstructed)

Unaddressed: sunlight is a geometrical given, not a physical substance.

Information

On the Measurement of the Earth (reconstructed)

A few local observations + geometry = knowledge of the whole Earth. Substantival, conserved, continuous.

Internal Tensions

Where each work's argument pulls against itself.

On the Measurement of the Earth (reconstructed)

Idealised assumptions (perfectly spherical Earth, exact alignment, parallel rays) vs. physical reality. The tension between mathematical model and messy world is present but acknowledged only implicitly.