interval
References:

What is an object?
What is a concept?
a
1. An expression which refers to the frames in a movie of an event.
In Mathematics an interval refers to a set of numbers between two numbers. In the context of time, the
word interval refers to the amount of time between two instants. In either case, the word interval invokes
two benchmarks or milestones. Hence, from a conceptual point of view, if we are to distinguish interval
from instant in a scientific context, we must associate the former to motion and the latter to location.
Irrespective of how infinitesimal a mathematician wishes to make an interval it will never amount to an
instant. (event).

If time is predicted on motion and motion is defined as two locations of an object, as a minimum, time
involves two locations. The two locations under scrutiny belong to different frames on a film. Hence, an
interval invokes two ‘points’ but is not equivalent to a line. An interval is not a static object, but a dynamic
concept. An interval is the trajectory of one object from an arbitrary starting location to where it sits when
the observer ponders the matter.

The term ‘interval of time’ can be either a qualitative or a quantitative parameter, but both involve two
frames in the universal movie. As a qualitative concept, an interval can be the before and after of a single
event, but this scenario is of little practical use. Typically we compare two events and say that one was
longer or shorter than the other. As a quantitative concept, we first establish a standard. Then the
observer compares one event against another and determines how many units of the standard fit in the
target event. We live in an interval of time. We exist in an instant.

There are strategic words in Physics that are conceptually static and cannot be reconciled with the
expression ‘interval of time’. This list includes: potential, exist, object, location, distance, image, flat,
straight, slope, etc. None of these words should ever be used in a context involving an interval of time.
Words that embody intervals include verbs (living, running, moving) adverbs (incessant, constant,
perpetual, rectilinear, dead, etc.), and certain nouns of ordinary speech (experiment, observation,
function, variable, number, movie).