A NOTE ON THE CONSTRUCTION OF THE EQUILATERAL TRIANGLE WITH SCALENE ELEMENTARY TRIANGLES IN PLATO'S TIMAEUS: PL. TI. 54A-B

2015 ◽  
Vol 65 (2) ◽  
pp. 552-558
Author(s):  
Ernesto Paparazzo
Keyword(s):  
Nineteenth Century ◽  
Infinite Number ◽  
Equilateral Triangle ◽  
Elementary Triangle

In the Timaeus Plato says that, among the infinite number of right-angled scalene elementary triangles, the best (τὸ κάλλιστον) is that ἐξ οὗ τὸ ἰσόπλευρον ἐκ τρίτου συνέστηκε. Apart from few exceptions to be mentioned shortly, the translations of the Timaeus, which I am aware of spanning the period from the second half of the nineteenth century up to recent times, have usually rendered this passage as meaning that such an elementary triangle is that which, when two are combined, the equilateral triangle forms as a third figure. For instance, Bury and Zeyl respectively translate: out of which, when two are conjoined, the equilateral triangle is constructed as a third. and from [a pair of] which the equilateral triangle is constructed as a third figure. I shall refer to this sort of translation as the Prevailing Translation (hereafter PT).

How the Victorian Novel Became Realistic (in a French Way), Reactionary, and Great

Worlds Enough ◽  
2019 ◽  
pp. 1-33
Author(s):  
Elaine Freedgood
Keyword(s):  
Nineteenth Century ◽  
Infinite Number ◽  
Victorian Novel ◽  
British Novel ◽  
Fredric Jameson

This chapter explains how a literary-historical undoing can liberate the now-normative nineteenth-century British novel from its heavy centrality in Anglophone novel history. It explores what can be read if it is read against the grain of the entrenched sense of its “realism” and formal coherence. Once Victorian novel is separated from realism, many other nineteenth-century fictions—of the adventure, ghost, “mutiny,” and detective genres, for example—might also productively pull away from the strictures of a kind of novel that doesn't really exist. Examples of realism always seem to arrive with disclaimers, provisos, and qualifications, suggesting that no one can really be responsible for this critical fiction: it “wobbles,” as Fredric Jameson has recently argued, caught between the paradox of affect and plot. It wobbles between the antinomy of fictionality and reference, splitting off a seemingly infinite number of worlds.

What is the purpose of cognition?

2020 ◽  
Vol 43 ◽  
Author(s):  
Aba Szollosi ◽  
Ben R. Newell
Keyword(s):  
Infinite Number ◽  
Human Cognition ◽  
The Way

Abstract The purpose of human cognition depends on the problem people try to solve. Defining the purpose is difficult, because people seem capable of representing problems in an infinite number of ways. The way in which the function of cognition develops needs to be central to our theories.

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