Why not just say Time isn’t something we can readily atomise? The ‘Now’ is merely a way of framing time appreciation just like a second is a measure of physical time a ‘moment’ is merely a human reference to unregulated and vague demarcation of felt time. — I like sushi
Now that’s what I call garbled. It’s garbled but I can still recognize the traditional notion of time dating back to Aristotle in it. This is what Heidegger calls the vulgar concept of time and Husserl calls constituted or objective time.
Heidegger, in a move similar to Husserl, traces the origin of the mathematical and of empirical science to the concept of enduring objective presence undergirding constituted time (what Heidegger calls the vulgar concept of time).
“What does it mean to be "in time"? This "being-in-time" is very familiar to us from the way it is represented in natural science. In natural science all processes of nature are calculated as processes which happen "in time." Everyday common sense also finds processes and things enduring "in time," persisting and disappearing "in time." When we talk about "being-in-time," everything depends on the interpretation of this "in." In order to see this more clearly, we ask simply if the glass on the table in front of me is in time or not. In any case, the glass is already present-at-hand and remains there even when I do not look at it. How long it has been there and how long it will remain are of no importance. If it is already present-at-hand and remains so in the future, then that means that it continues through a certain time and thus is "in" it. Any kind of continuation obviously has to do with time.”(Zollikon)
“Thus what can be shown to have the character of constantly remaining, as remanens capax mutationem, constitutes the true being of beings which can be experienced in the world. What enduringly remains truly is. This is the sort of thing that mathematics knows. What mathematics makes accessible in beings constitutes their being.
Heidegger explains that the fundamentally undiscussed ontological foundations of empirical science since Descartes are based on his formulation of objective presence.
“Thus the being of the "world" is, so to speak, dictated to it in terms of a definite idea of being which is embedded in the concept of substantiality and in terms of an idea of knowledge which cognizes beings in this way. Descartes does not allow the kind of being of innerworldly beings to
present itself, but rather prescribes to the world, so to speak, its "true" being on the basis of an idea of being (being = constant objective presence) the source of which has not been revealed and the justification of which has not been demonstrated.
Thus it is not primarily his dependence upon a science, mathematics, which just happens to be especially esteemed, that determines his ontology of the world, rather his ontology is determined by a basic ontological orientation toward being as constant objective presence, which mathematical knowledge is exceptionally well suited to grasp.”(Being and Time)
Heidegger shows how the common notion of time dates back to Aristotle’s derivation of time from motion.
“The thoughts of motion, continuity, extension—and in the case of change of place, place—are interwoven with the experience of time.”(basic problems of phenomenology) “ So far as time is kineseos ti, something connected with motion, this means that in thinking time, motion or rest is always thought along with it. In Aristotelian language, time follows, is in succession to, motion.” “Because the now is transition it always measures a from-to, it measures a how-long, a
duration Time is making present according to Aristotle, (the present at hand) and in so doing is a counting
of time as now, now, now. “And thus time shows itself for the vulgar understanding as a succession of constantly "objectively present" nows that pass away and arrive at the same time. Time is understood as a sequence, as the "flux" of nows, as the "course of time.”(Being and
Time).
“The succession of nows is interpreted as something somehow objectively present; for it itself moves "in time." We say that in every now it is now, in every now it already disappears. The now is now in every now, thus constantly present as the same, even if in every now another may be disappearing as it arrives. Yet it does show at the same time the constant presence of
itself as this changing thing.”
Compare this to Husserl on time and objective presence:
Husserl, Heidegger and Gendlin have shown in different ways that a quantifiable, mathematizable nature presupposes the kind of time which consists of self-presences transitioning from future to present to past in sequential movement (existing ‘in’ time).
The consideration of the conditions in principle of the possibility of something identical that gives itself (harmoniously) in flowing and subjectively changing manners of appearance leads to the mathematization of the appearances as a necessity which is immanent in them.”
“A true object in the sense of logic is an object which is absolutely identical "with itself," that is, which is, absolutely identically, what it is; or, to express it in another way: an object is through its determinations, its quiddities [Weisheiten], its predicates, and it is identical if these quiddities are identical as belonging to it or when their belonging absolutely excludes their not belonging.”
“ “Every thingly being is temporally extended; it has its duration, and with its duration it is fit within Objective time in a strict manner.”
The time of constituting subjectivity corresponds to a more primordial time that consists not of self-identical objects which endure for a ‘period of time’ but a flow of qualitative change that forms no process of continuous succession. Without the concept of continuous succession to ground them, notions like ‘faster’ and ‘slower’ lose their sense. It is never precisely the same noematic object that is filling out the temporal duration from moment to moment. The meant sense is that of an enduringly identical tone because of the noetic idealizing unification of the varying sensations that it encompasses.
For Husserl, primary sense data represents a more fundamental form of temporality than adumbrated ‘real’ spatial objects . Notions of nowness as a countable duration occurring IN time, occupying a moment of time, correspond to Husserl’s apperceived time of real spatial
objects, but underlying this level of constitution is a more primordial temporality.