Cf: Logical Graphs, Truth Tables, Venn Diagrams • 9
https://inquiryintoinquiry.com/2021/06/12/logical-graphs-truth-tables-venn-diagrams-9/
|| In November 1619, I had a dream involving the Seventh Ode of Ausonius,
|| which begins Quod vitae sectabor iter [“What road in life shall I follow”].
||
|| René Descartes • Experimenta
::: Lyle Anderson (
https://groups.io/g/lawsofform/message/307
<QUOTE LA:>
As I write this on a machine that does its logic 64-bits at a time,
I am finding it hard to imagine where the “ascent” to logical graphs
with increasing numbers of variables will take us that the engineers
haven't already gone. Could you enlighten us on where you think this
is headed?
</QUOTE>
Dear Lyle,
But now it's come to directions and things we must decide.
Here's a passage from Robert Musil I often use as a guide.
<QUOTE>
It is understandable that an engineer should be completely
absorbed in his speciality, instead of pouring himself out
into the freedom and vastness of the world of thought, even
though his machines are being sent off to the ends of the
earth; for he no more needs to be capable of applying to
his own personal soul what is daring and new in the soul
of his subject than a machine is in fact capable of applying
to itself the differential calculus on which it is based.
The same thing cannot, however, be said about mathematics;
for here we have the new method of thought, pure intellect,
the very well-spring of the times, the fons et origo of an
unfathomable transformation.
Robert Musil • The Man Without Qualities
https://oeis.org/wiki/Differential_Logic_and_Dynamic_Systems_%E2%80%A2_Part_3#Transformations_of_Discourse
</QUOTE>
Just so I won't be misunderstood, there is nothing axiomatic about
Musil's differentiation of mathematics from engineering, much less
human souls from machines. For my part I have oscillated over time
between taking his distinctions at face value and challenging them
with more integral projects of my own. With that in mind the question
becomes: “What degrees of reflection on practice are essential to the
roles of mathematicians and engineers, respectively?”
To be continued …
Jon