Hodges' model: Is it a virus: or a universal vaccine?
The arrival of 'imposter syndrome' well-over a decade ago(?), from the speaker's podium was an interesting surprise. A case of lived experience, as I'd felt this in trying (and failing) to grapple with the ever-growing, morphing development stack of a software program. Long gone are the days of Sinclair and BBC BASIC. The mountain and learning cliff, was CMS content management system: Drupal.
What contributed to that feeling back then? Well there was the people I was sat by and sharing time at various European DrupalCons. It was I who was the 'con'. A hobbyist, from pre-PC days. Seeing and hearing what they were creating and the great community. Fascinating also, to see web design fashions come-and-go.
I've written before about Hodges' model being an over-valued idea to me. As a mind-mapping meme it infected me decades ago. Is it a virus? If it is I clearly had no resistance, no immunity. I've always tried to acknowledge, reminded myself that the model is not the be-all-and-end-all.
While the specific mathematical is complex, it is worth trying to grasp some of the intent and meaning (even at the risk of exacerbating imposter reactions). Hestenes provides a paper (and several others):
'ABSTRACT. The discovery of Mathematical Viruses is announced here for the first
time. Such viruses are a serious threat to the general mental health of the mathematical
community. Several viruses inimical to the unity of mathematics are identified, and their
deleterious characteristics are described. A strong dose of geometric algebra and calculus
is the best medicine for both prevention and cure.'
Hestenes, D. (1992). Mathematical Viruses. In: Micali, A., Boudet, R., Helmstetter, J. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 47. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8090-8_1
'The computer virus (CV) owes its name and perhaps its genesis to the biological virus
(BV). Like a BV, a CV cannot function by itself, but when attached to a host it replicates
repeatedly until it impairs the functioning of the host, sometimes to the point of disabling
the host altogether. ...My purpose here is to call your attention to another kind of virus - one which can
infect the mind - the mind of anyone doing mathematics, from young student to professional
mathematician. As I believe this is the first published paper to explicitly identify
such viruses, I take the liberty of naming and describing them as follows: A mathematical
virus (MV) is a preconception about the structure, function or method of mathematics
which impairs one's ability to do mathematics. Just as a CV is program which impairs the
operating system of a computer, an MV is an idea which impairs the conceptualization of
mathematics in the mind. Indeed, as one definition of "virus," Webster gives "something that
corrupts the mind or soul." Since the identification and classification of MVs has only
just begun, it would be premature to attempt a more precise definition. The better course
is to examine some specific viruses to form a form empirical base for further study.
My first example is an easily recognized MV which is extremely virulent and as common
as the common cold. I call it the coordinate virus, designating it by MV/C to denote genesis
and type, and characterizing it as follows:' pp.1-2. (online copy)
Hestenes' biohistory is an interesting conceptual and interdisciplinary bridge. Another construct to add to our collection. Is there a virus in the models deployed within medicine and healthcare to date? You know, the bed-round of the medical, biomedical, bio-psycho-social? The round were you don't need to count the number of beds, except in the event of a pandemic. Is the omission of the political, even as the socio-economic reality is now a constant point of reference a symptom of a centuries-long infection?
For a long time now* the legacies that successive cohorts of students, and newly qualified professionals encounter have stood out. Another question is, just how far back in time do we need to travel to find can the origin of this situation? Was there an initial crisis involving the overt expression of 'power'? Can this be found the as the Hippocratic oath butted up - literally - against triage on the battlefield?
Now: Time won't tell (or will it?). Now that - is some virus.
orcid.org/0000-0002-0192-8965
