Text and context
In Physics IV, especially parts 11–12, Aristotle links time to the counting of change through before and after. He distinguishes time from motion itself and discusses their mutual measurement. The cited English text is the translation by R. P. Hardie and R. K. Gaye hosted by the Internet Classics Archive.
Attributed reading
number of movement in respect of the before and after
Aristotle, Physics IV, part 11; Hardie and Gaye translation.
Counting requires something to count
A counter can label successive states 1, 2, 3. That alone does not tell us whether adjacent changes take equal physical durations. Even an exact count needs a specified recurrent process, a reading rule and a comparison procedure to become a clock.
This is a useful lens for the DTT distinction between inner generative work and outer completed records. A theory might count operations inside a cycle and separately count completed cycles. A physical relation between the counts needs to follow from their common dynamics and measurement rules. Renaming the two numbers “inner time” and “outer time” cannot substitute for that connection. The geometry-and-clock workbench makes the effect of changing the clock law visible.
Questions for further reading
- What physical or mathematical change is being counted?
- Why should equal counts correspond to equal durations?
- Can a clock law change while the spatial readout remains fixed?
Interpretive scope
Historical and philosophical reflection. The SMM/DTT connections are contemporary interpretations and research questions; they are not claims that the cited text proves a modern physical theory.
Sources and attribution
- Aristotle, Physics IV, parts 11–12 — Translation by R. P. Hardie and R. K. Gaye; Internet Classics Archive.