After all, they say, marine biology as a science of numbers and math -- for better, or, some people say, for worse -- was in many ways invented here.
The codes employed are all based on numbers, so understanding the science of numbers, known as number theory, is fundamental to the making and breaking of codes.
Archytas, like Plato (R. 525c), uses logistic not just in this narrow sense of the study of relative quantity, but also to designate the entire science of numbers including arithmêtikê.
So the science of harmony is subalternate to the science of numbers, Arithmetic, for numbers are the parts of proportions, and must be known if proportions are to be known, even if proportions are not numbers in the way that audible proportions are proportions.
Having said all that, they run a three-week course on Yantra, "the science of number, name and form", alongside daily yoga and pranayama practice.
It appears to be Archytas' term for the science of number, which was mentioned as one of the four sister sciences in B1.
He saw the ultimate goal of the sciences as the description of individual things in the world in terms of ratio and proportion and accordingly regarded logistic, the science of number and proportion, as the master science.
In other passages, however, Plato defines logistic in parallel with arithmêtikê, and treats the two of them as together constituting the science of number, on which practical manipulation of number is based (Klein 1968, 23 24).
This theory brought with it a sharp distinction between discrete quantities (numbers) and continuous quantities (magnitudes), thus leading to the traditional view of mathematics as the science of number, on the one hand, and of magnitude, on the other hand.
On the other hand, logismos is not identical to the technical science of number (logistic – see 3.2 above) but is rather a practical ability to understand numerical calculations, including basic proportions, an ability that is shared by most human beings.
Zhmud translates pragmateia as "science" (2012a, 216) so that he has Aristoxenus attributing the invention of the science of number to Pythagoras but, while Aristoxenus does use pragmateia to mean science in some contexts, it more commonly simply means "pursuit" (Huffman 2014b, 292).
