A sentence can locate an event before another event, describe it from a later viewpoint, or report it as happening now. These are different relations. Making them visible helps us read temporal language without turning grammar into a theory of physical existence.
Three reference points
Suppose a traveller leaves at two, a friend reaches the station at five, and someone tells the story at nine. The sentence “At five, she had already left” relates the departure to both the station visit and the later telling. A single division into past, present and future does not express all that structure.
Hans Reichenbach’s discussion of verb tenses distinguishes the event, the reference point and the act of speech. His analysis provides a useful starting framework for such examples. It should not be mistaken for a complete grammar of every language or every use of an English tense. Context and the kind of event also matter.
Here E marks the event, R a reference point within the description, and S the utterance. In the example E=2, R=5 and S=9, so E<R<S. These numbers are stipulated positions on one common timeline; their labels do not identify physical clocks or establish distant simultaneity.
Move the viewpoint
Event, viewpoint and utterance
Move three points on a shared teaching timeline. The positions use arbitrary units; the diagram does not generate grammatical sentences or describe a physical clock.
Compare all three relations
Hold E at two and R at five, then move S from nine to one. The relation of the event to the reference stays fixed, while both become later than the utterance. We have changed the setting of the description, not made the traveller leave twice.
Move R onto E. Equality means that the model assigns the same coordinate to the two marked points. It does not imply that a whole extended activity occupies a durationless instant. The diagram deliberately treats its marks as points; an account of an ongoing action needs an interval or another representation.
Tense and aspect ask different questions
Compare “She repaired the clock” with “She was repairing the clock.” In a suitable context the first presents a completed repair, while the second describes activity in progress and does not by itself guarantee successful completion. Neither sentence tells us the oscillator frequency, the work required or the measured duration.
For a simple interval illustration, let repair activity occupy [2,6] and let the reference lie at four. The reference falls inside that interval. If the reference is eight, the stipulated interval has ended. This geometry is a teaching aid, not a general algorithm for generating grammatical sentences.
A useful annotation records what a sentence actually commits to. Does it assert an endpoint, allow interruption, describe repetition, or place one event before another? Avoid adding an endpoint merely because the reader knows how such an activity usually finishes.
The location of now
A message composed on Monday and read on Thursday can contain “tomorrow.” Its relevant centre may remain the composition time. A narrator can also shift a perspective into a remembered scene. Identifying the speaker and the situation is therefore part of temporal interpretation, even when the words themselves are familiar.
Consider an archive with a creation timestamp, an upload timestamp and a reading timestamp. The phrase “yesterday’s result” cannot be assigned a date from the upload timestamp alone. First identify which communicative event the expression belongs to. This is a problem of reference, not evidence that calendar dates are arbitrary.
Translate the three-point diagram by adding seven to every coordinate. All pairwise order and equality relations survive. If only S moves, some relations change. The distinction between moving a common origin and changing a viewpoint is useful in translation and in narrative.
Grammar and completion
The book’s discussion of clocks separates an ordered label from calibrated duration. Temporal grammar adds another distinction: a speaker’s reference point is not automatically a physical clock, and a grammatical completion is not the operational completion proposed in SMM/DTT.
For a physical model, ask which process generates an output, what conditions make the record available and how durations are compared. A sentence in the past perfect cannot supply those mechanisms. Conversely, a mathematical account of records need not explain every feature of narration before it becomes useful physics.
Read the diagram as a way of keeping questions separate. Establish the temporal relations expressed by the passage, then ask what argument or evidence connects them to a claim about reality. Continue with temporal vocabulary and notation and physical meaning.
Sources and further reading
- Hans Reichenbach, “The Tenses of Verbs,” originally in Elements of Symbolic Logic (1947), section 51; reprinted in Semantics: A Reader (2004), pp. 526–533. The publisher provides an abstract.
- Mohamed Haj Yousef, Order, duration, and physical clocks. The interactive diagram and traveller examples are teaching constructions.

