Hiedegger rejects both objectivism and subjectivism. He's not saying the world is a construction of mind. He unravels the traditional notion of the subject, the ego, consciousness ans well as the empirical object.
"One can accept the physicists' account of space-time and accept Heidegger's account of how human beings experience time. But this is nevertheless to concede that there is a scientific view of the world and an ''existentialist'' view (I use quotation marks there as I am aware that Heidegger rejected that label) concerned with human experience."
Heidegger doesn't say a scientific account of time, or anything else, is wrong. He says it rests on presuppositions(I'm not just talking about specific mathematics models but fundamental metaphysical presuppositions) that physicists ,a t least till recently, aren't aware underlie their understanding of the pre-conditions of objective description. You , for example, are talking about reality here as something 'out there' independent of accounts of it, and thus scientific truth is aimed at a correspondence or mirroring of what is out there with our constructions of it.
This is called the correspondence theory of truth. It is a older explanatory worldview of what science does. More recent interpretations of science view empirical truth not ass correspondence but as pragamtic interaction. Science doesnt match some supposed reality sitting out there independent of us, it interacts with it in ways that are useful to us. In this account knowledge isnt correspondence, it is transformation.
Some quotes from Heidegger:
"Of course, the question of "being-in-
time" is exciting, but it was also raised prematurely. The question is
exciting specifically with regard to natural science, especially with the
advent of Einstein's theory of relativity, which established the opinion
that traditional philosophical doctrine concerning time has been shaken
to the core through the theory of physics. However, this widely held
opinion is fundamentally wrong. The theory of relativity in physics does
not deal with what time is but deals only with how time, in the sense of
a now-sequence, can be measured. [It asks] whether there is an absolute
measurement of time, or whether all measurement is necessarily relative,
that is, conditioned.* The question of the theory of relativity could not
be discussed at all unless the supposition of time as the succession of
a sequence of nows were presupposed beforehand. If the doctrine of
time, held since Aristotle, were to become untenable, then the very
possibility of physics would be ruled out. [The fact that] physics, with
its horizon of measuring time, deals not only with irreversible events,
but also with reversible ones and that the direction of time is reversible
attests specifically to the fact that in physics time is nothing else than the
succession of a sequence of nows. This is maintained in such a decisive
manner that even the sense of direction in the sequence can become
a matter of indifference."
"If you ask a physicist, he
will tell you that the pure now-sequence is the authentic, true time. What
we call datability and significance are regarded as subjective vagueness,
if not sentimentalism. He says this because time measured physically can
be calculated "objectively" at any time. This calculation is "objectively"
binding. (Here, "objective" merely means "for anyone," and indeed only
for anyone who can submit himself to the physicist's way of representing
nature. For an African tribesman, such time would be absolute nonsense.)
The presupposition or supposition of such an assertion by a physicist
is that physics as a science is the authoritative form of knowledge and
that only through the knowledge of physics can one gain a rigorous,
scientific knowledge. Hidden behind [this presupposition] is a specific interpretation
of science along with the science's claim that a specific form
of viewing nature should be authoritative for every kind of knowledge.
[The scientist has not asked] what this idea of science itself is founded
upon nor what it presupposes. For instance, if we talk about time with
a physicist sworn in favor of his science, there is no basis whatsoever to
talk about these phenomena in an unbiased way. The physicist refuses to
"In physics, a theory is proposed and then tested by experiments to see
whether their results agree with the theory. The only thing demonstrated
is the correspondence of the experimental results to the theory. It is
not demonstrated that the theory is simply the knowledge of nature.
The experiment and the result of the experiment do not extend beyond
the framework of the theory. They remain within the area delineated
by the theory. The experiment is not considered in regard to its correspondence
to nature, but to what was posited by the theory. What is
posited by the theory is the projection of nature according to scientific
representations, for instance, those of Galileo.
Yet today even pioneers in physics are trying to clarify the inherent
limitations of physics. It is still questionable whether physics, as a matter
of principle, will ever succeed in doing this."
"The projection of nature in natural science was enacted by human beings.
This makes it [a result of] human comportment. Question: What aspect
of the human being appears in the projection of things moving through
space and time in law-governed fashion? What character does Galileo's
projection of nature have? For instance, in the case of the falling apple,
Galileo's interest was neither in the apple, nor in the tree from which
it fell, but only in the measurable distance of the fall. He, therefore,
supposed a homogeneous space in which a point of mass moves and falls
in conformity to law.
What then does Galileo accept in his supposition? He accepts without question:
space, motion, time, and causality.
What does it mean to say—I accept something like space? I accept that
there is something like space and, even more, that I have a relationship
to space and time. This acceptio* is not arbitrary, but contains necessary
relationships to space, time, and causality in which I stand. Otherwise I
could not reach for a glass on the table. No one can experiment with
these [a priori] assumptions. That there is space is not a proposition of
physics. What kind of proposition is it? What does it indicate about the
human being that such suppositions are possible for him? It indicates
that he finds himself comported to space, time, and causality from the
beginning. We stand before phenomena, which require us to become
aware of them and to receive-perceive them in an appropriate manner.
"It is no longer up to the physicist, but only to the philosopher to say
something about what is accepted in this way. These assumptions are out
of reach for the natural sciences, but at the same time they are the very
foundation for the very possibility of the natural sciences themselves."
"At the beginning of our last seminar our question was: What does
"nature" mean to modern natural science? We called upon Kant for
its determination. He gave us the definition: Nature is the conformity
to the law of phenomena. This is a strange proposition. Why have we
bothered to ask about "nature" in the natural sciences at all? Because
natural science does not expressly think about this determination of
nature. Galileo developed this projection of nature for the first time. In
doing so, did he simply make a "presupposition" ? What
kind of presupposition would it be? It is a supposition .
What is the difference between a presupposition made to reach logical
conclusions and a supposition? The difference is that we can derive
something else from logical presuppositions through inferences—that
a logical relationship exists between presupposition and conclusion. In
contrast, in a supposition, the scientific approach to a specific domain
is grounded in what is supposed. Here we are not dealing with a logical
relationship, but with an ontological relationship.
To what does modern natural science make its supposition? As a
natural scientific observer, Galileo disregarded the tree, the apple, and
the ground in observing the fall of the apple. He saw only a point of
mass falling from one location in space to another location in space in
law-governed fashion. In the sense of natural science, "nature" is the
supposition for the tree, the apple, and the meadow. According to this
supposition, nature is understood only as the law-governed movement
of points of mass, that is, as changes in location within a homogeneous
space and within the sequence of a homogeneous time. This is natural
science's supposition.
In this supposition, that is, in this assumption of "nature" determined
accordingly, there lies simultaneously an acceptio. In such a supposition,
the existence of space, motion, causality, and time is always already accepted
as an unquestionable fact. Here accepting and taking mean immediate
receiving-perceiving. What is accepted in natural science's supposition
is a homogeneous space."