Part 10.: Cases of Dialectic Series. The Dialectic of Gunnery Targeting.

 

 

 

 

 

 

 

 

 

 

 

 

The Dialectic

 

of

 

Gunnery

Targeting.

 

 

 

Part 10.: 

Cases of Dialectic Series.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

 

The ‘dialectogram’ posted above depicts a dialectic that was on the cusp of the psychohistoric/dialectical transition from Philosophy to ‘Philosophy plus Science’ – 

P ~ S;

 

P² |-= P ~Å~ S.

 

This transition involved the late medieval to Renaissance transition from the Aristotelianism-dominant Philosophy-of-Nature, to Experimental Science; to the empirical testing of explanatory natural-Science hypotheses, including of those derived from antecedent “Natural Philosophies”.

 

In 1537 C.E., Niccolo Tartaglia (circa 1500 to 1557), wrote the first treatise on ballistics, entitled «Nova Scientia», which would have been more appropriately titled «Nova Philosophia», in our view.  In it, he logically deduced, by purely classical-geometric means, that the angle of elevation of, e.g., a cannon, that would shoot its projectile the furthest distance, would be the midpoint between the, extremes, i.e., the vertical and the horizontal angles – namely, the diagonal, their mean.  Tartaglia did depart from Aristotle’s rectilinear account of projectile trajectory, by arguing that at least part of that trajectory must be curvilinear, but, otherwise, he mostly adhered to the, untested and experimentally uncorroborated – indeed, the experimentally falsifiable – doctrines of the Aristotelian Philosophy-of-Nature.

 

By way of contrast, a bit later, among founders of modern, experimental Science, e.g., Galileo Galilei (15 February 1564 to 8 January 1642) virtually the same conclusion was established via actual experiments.¹ 

 

This achievement of virtually the same conclusion, via ancient Philosophical-Geometric-Deductive means versus via ‘proto-modern’, Experimental-Scientific means, was at the cusp of the Renaissance emergence of/transition to modern, experimental Science, as it was also at the cusp of the transition from the more-qualitative, Aristotelian view of Nature to the, Galilean Å, more-metrical, “quantitative-only” view of Nature. 

 

This is because the qualitative inequality of the “categories” of the ‘Vertical Angle-of-cannon-Elevation’ extreme [the ‘self-bombarding’ extreme], versus the ‘Horizontal Angle-of-cannon-Elevation’ extreme [the nearly no projectile travel-distance extreme], both versus the ‘Diagonal Angle-of-cannon-Elevation’ ‘‘‘extreme’’’² [the maximal projectile travel distance ‘‘‘extreme’’’] looks, to the modern «mentalité», more like the “purely”-quantitative inequality between 90 degrees of angle, versus 0 degrees, versus 45 degrees, within the R¹ “continuum” of degree-values.

 

The fact that these “purely-quantitative” degree values actually involve the ‘intra-dual’ combination of three distinct ‘metrological quantifiers’, e.g., 90, 0, and 45, and a ‘metrological qualifier’ – degrees of circular arc – is, modernly, not “standardly” noticed, any more than the qualitative inequalities among, e.g., the, ‘contra-Boolean’, ‘metrological qualifier units’ cm.¹, cm.² and cm.³, i.e., among the linear centimeter unit of measure, the square centimeter unit of measure, and the cubic centimeter unit of measure, are “standardly” noticed in their ‘qualitativity’.

 

¹See C. R. Hallpike, How We Got Here: From Bows and Arrows to the Space Age, Author House, London, UK, 2008, pp. 419 to 421;

²We count the mean between the ‘other two’ “extremes” as a third ‘‘‘extreme’’’, in a sense similar to that by which Isaac Asimov’s “Hari Seldon” placed the “Second Foundation” at “the opposite end of the galaxy”, meaning, not the opposite side of the galaxy from the side on which the planet Terminus was located, but at the ~center of the galaxy, on planet Trantor. 

 

 

 

 

 

 

 

 

 

 

 

 

 

For more information regarding these Seldonian insights, and to read and/or download, free of charge, PDFs and/or JPGs of Foundation books, other texts, and images, please see:

 

www.dialectics.info

 

 

and

 

 

https://independent.academia.edu/KarlSeldon

 

 

 

 

 

 

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ – as well as dialectically-illustrated books published by the F.E.D. Press, see –

 

https://www.etsy.com/shop/DialecticsMATH

 

 

 

 

 

 

 

 

 

 

 

¡ENJOY!

 

 

 

 

 

 

 

 

 

 

 

Regards,

 

 

 

 

Miguel Detonacciones,

 

Voting Member, Foundation Encyclopedia Dialectica [F.E.D.];

Elected Member, F.E.D. General Council;

Participant, F.E.D. Special Council for Public Liaison;

Officer, F.E.D. Office of Public Liaison.

 

 

 

 

 

 

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