Hodges' Model: Welcome to the QUAD: THE GRID by Eli Payne Mandel

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Wednesday, September 11, 2024

THE GRID by Eli Payne Mandel

individual
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INTERPERSONAL : SCIENCES
humanistic ------------------------------- mechanistic
SOCIOLOGY : POLITICAL
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group

[125]
'Therefore, a mathematician babbles when he refers to cutting a given line in two. The actual line that he shows to us on the abacus has length and width. But the line he has in mind is a stroke with length and no width. What is drawn on the abacus cannot be such a stroke, and he who goes about cutting it cuts not the line that is but the line that is not.'

(Sextus Empiricus, Against the Mathematicians 9.282)
(n.b. The above is printed upside-down on the page.)

Scatter the trace of the vessel from the ash. Pythagoras here is riddling about confusion and mental cloudiness, for if one wants to do philosophy one must pass over physical and sensible demonstration in favor of abstract argumentation. The ash is analogous to the dust on the abacus in which diagrams are delimited and proofs brought to an end. 

(Iamblichus, Exhortation to Philosophy 34)' p.55


'[1] In ancient Greek, an abacus is a sand table. 'The abacist draws lines and maybe moves pebbles around the lines. When done, she wipes the sand blank. 



[2] A board or slab for drawing, computation, games; a cutting board. Technical term, likely to be a loanword, but conjectured origin in Hebrew abãq "dust" remains unproven. --  Pierre Chantraine, Dictionnaire etymologique de la langue greque.' p.10.

'[122] The abacus computes and it erases. It tells a life. Then gambles it away. Achilles and Ajax sit down to play a game of dice. They have hung up their shields. They lean on their spears. They are tired. The Anatolian air is cold off the water. Attendants wrap them each in wool cloaks thick with eight-pointed stars. The stars wander along eddies and meanders. The only straight lines are servants of error. Their fingers are on the abacus, but Achilles and Ajax do not play, do not speak, lost in the maze of their cloaks.

[124] The first reference in Western literature to written language is in the Iliad. An unsuspecting  man in a story is carrying semata lygra / grapsas en pinaki ptukto thymophthora polla: baleful signs written on a folded tablet, utterly soul-  destroying. The words, which some scholars conjecture to be Linear B, spell out the man's death, and the reader murders  the unreading man. After the murder, Death Wipes the tablet  blank and folds it back again.' p.54.

'[3] Because dust blows away and only the slab remains, an abacus is also the part of a column in immediate contact with what it supports. If that structure no longer survives, the abacus upholds the edifice of the sky.' p.10.


THE GRID by Eli Payne Mandel, Carcanet Press. 2023.

https://www.elipmandel.com/

Previously on W2tQ - 'poetry'