alice wellintown
alicewellintown at gmail.com
Wed Apr 17 04:27:31 CDT 2013
Wha?
Respect the conceptual divides which obtain in science?
In any event, science, big science and big math are subjected to P's
satire.
On Wednesday, April 17, 2013, Prashant Kumar wrote:
> I of course agree that science needs critics, critics who look at its
> cultural *as well as* conceptual dimensions. My point is just that in
> doing so, we have to respect the conceptual divides which obtain in
> science.
>
> As to comments above on mathematics, mathematics is *not* independent of
> science. Physical theory relies on mathematics, and if we accept results
> following from physics, then we need to admit that mathematical
> structures have some empirical basis<http://plato.stanford.edu/entries/structural-realism/>.
> Let's take this argument further still, and say that mathematics which
> isn't invoked in physics constitutes a giant archive of (unrealised)
> possibilities. In other words, one can argue that *quantitative* *
> representation* is contingent, and divides into the realised and the
> counterfactual. In such a picture, mathematics is a formalised way of
> making counterfactual statements about physical reality. This a variant of
> Constructivism, and is counter to the mathematical Platonism you seem to
> assume, bandwraith. Now, the truth statements made in mathematics are of a
> different class than those made by science: mathematical truths which do
> not have empirical basis are riffs on reality. And, all of mathematics is
> just possible (counterfactually speaking) physics. The concept of rigor
> goes out the window, since it is easy to make rigorous statements if they
> are epistemic, rather than ontic. The truth criteria of science and maths
> are, in the account just given, incommensurable.
>
> This opens up an interesting possibility. Consider quantitative truths
> which *do* have some basis in reality; that is, they describe some
> physical phenomenon. Well, why can't we test a theorem by doing an
> experiment? If theorem T_1 is true, then phenomenon P_1 will occur, else
> P_2. In quantum physics, it is now possible to conceive of a kind of
> quantum computer which could prove theorems through experiment, in just
> this fashion. The subtle cheat is that we are not proceeding inductively,
> but deductively. Indeed, parts of string theory (the sci am article I
> linked in the gravity thread; "the thing" is called AdS/CFT) have been
> tested in a similar fashion.
>
> Prashant
>
>
> On 17 April 2013 11:36, <bandwraith at aol.com> wrote:
>
> Interesting you should mention that. Arguing against "science" is like
> arguing that there's no such thing as gravity. Which is fine to do, but
> what is the counter-explanation for all the phenomenon that General
> Relativity explains? Until one comes up with a better explanation, GR
> stands. That's the beauty of science. Unlike religion, it's open to
> challenge. There is a backdoor way to attack the scientific process,
> however, that is less boneheaded, and that's to attack the language, after
> Gallileo, in which it finds expression- mathematics, which is often taken
> for granted. Statistics is the obvious but not the most fundamental
> example. Many scientific hypothesis are accepted or rejected on the
> strength of a statistical analysis of measurements of some kind. The
> assumptions behind statistical validity can be faulty, but science protects
> itself from this by admitting that possibility and allowing for
> reinterpretation and possible rejection of previously accepted results. The
> final description however will still generally be in mathematical terms.
> Biology, which has resisted this trend for a long time, in favor of a
> purely descriptive approach, is also becoming more and more computational.
> And even if biological meaning demands a qualitative framework, many of the
> techniques involved in biological science are heavily dependent on
> mathematical inferences.
>
> But Mathematics is completely un-empirical and completely independent of
> science! Truth, as it is understood mathematically, does not require a
> single empirical observation. It is a purely logical exercise, and much
> more rigorous in its proofs than science. Mathematics would never settle
> for an empirical proof. It may be that reality, in a scientific sense,
> happens to be perfectly congruent and consistent with a mathematical
> description, but that possibility is not a given, otherwise String Theory,
> for example, would be true on the basis of mathematics alone.
>
> Furthermore, mathematics itself, as Pynchon has humorously indicated, is
> by no means a closed case- with all its questions locked up. Science, by
> keeping close to the empirical, avoids these problems. It is a question
> that is suggested by the current cover of The Bleeding Edge- the vanishing
> point- where all dichotomy comes to a final resolution, in this case, the
> divide between description and the described, or, epistemology and
> ontology. Choose your complementary terms.
>
> In the end it is a question of how we know. Mathematics, the chosen
> language of science, is as close to art and music and poetry, as it is
> to dirt and air and stardust- and just as prone to flights of fantasy.
> Algebra is perfectly logical. No such proof exists for reality.
>
> p.s. Anybody made it to The Museum of Mathematics yet? Worth the trip?
>
> http://momath.org/
>
>
> -----Original Message-----
> From: malignd <malignd at aol.com>
> To: pynchon-l <pynchon-l at waste.org>
> Sent: Tue, Apr 16, 2013 5:59 pm
> Subject: Re:
>
> This is a smart post with which I agree. I would add that science is a
> method -- of investigation and discovery. To rail against science is like
> railing against algebra.
>
>
> -----Original Message-----
> From: Prashant Kumar <siva.prashant.kumar at gmail.com>
> Cc: pynchon -l <pynchon-l at waste.org>
> Sent: Mon, Apr 15, 2013 7:36 pm
> Subject: Re:
>
> So, a couple of things; a two-step if you like: reification and
> generalisation.
>
> First: science is not a contiguous set of practices. It is not
> monolithic, and therefore its meat and method is not isolable in the way
> our dear interlocutors have presumed. So, whatever you say about the
> ethical colour of man or machine depends peculiarly on man, machine, and
> the way the former uses and is changed by, the latter. *See also*:
> technologies of the self. Variegated of course by a soupcon of historicism.
>
> What I'm saying maybe does seem irrelevant, but consider that the kind
> of science we get -- fr
>
>
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