One of the “Silicon Avogadro Spheres” at the National Physical Laboratory (NPL), Teddington, UK. See:Counting Atoms in a Sphere
To measure means to count. We measure a length by counting marks on a ruler, and a time span by counting ticks of clock. We compare the quantity we want to measure to multiples of a standardized quantity, the unit of measurement, such as the metre, the inch, or the second……
Discrete mathematics, also called finite mathematics or decision mathematics, is the study of mathematical structures that are fundamentally discrete in the sense of not supporting or requiring the notion of continuity. Objects studied in finite mathematics are largely countable sets such as integers, finite graphs, and formal languages.
Discrete mathematics has become popular in recent decades because of its applications to computer science. Concepts and notations from discrete mathematics are useful to study or describe objects or problems in computer algorithms and programming languages. In some mathematics curricula, finite mathematics courses cover discrete mathematical concepts for business, while discrete mathematics courses emphasize concepts for computer science majors.
Reductionism seems to be the ability to measure in powers of ten, and then, we get to a point where everything is all smeared out. So energy at some point becomes the determination of what any particulate could be measured, and yet, we would say that it is like using sand to fill the universe?
I have been intrigued by the idea of a “kitchen measure of a teaspoon of sorts” as well as to what water fills any glass to it’s brim. Thinking, that such a substance while pertaining to the measure of something, can have space in between, with which it can fill? Yet, it does not flow over? How much before it does, and we say that this measure is what the spirit of these walking bodies shall qualify too? The soul at 21 grams?
The title of the movie comes from the work of Dr. Duncan MacDougall, who in the early 1900s sought to measure the weight purportedly lost by a human body when the soul departed the body upon death. MacDougall weighed dying patients in an attempt to prove that the soul was material, tangible and thus measurable. These experiments are widely considered to have little, if any scientific merit, and MacDougall’s results varied considerably from 21 grams, but for some people this figure has become synonymous with the measure of a soul’s mass The Soul=λόγος,θυμος,ἔρως
Archimedes met an untimely death while deep in thought, pondering a figure he had drawn in the sand. He did not see the Roman soldier approach, sword in hand. The mosaic portrays this historical event
“Kepler Conjecture is speaking about cannon balls. <a href="http://www.math.pitt.edu/~thales/kepler98/announce" target=_BLank title="Subject: Kepler conjecture
“>Tom Hales writes,”Nearly four hundred years ago, Kepler asserted that no packing of congruent spheres can have a density greater than the density of the face-centered cubic packing.“
Turning now to Archimedes’ reckoning, he proceeds to fill up the (then) known universe with sand by considering a succession of spheres, each 100 times the diameter of its predecessor in the succession. He uses a fact well known to Greek geometers: the ratio of the volumes of two spheres is the third power of the ratio of their diameters. The Sand Reckoner
A computer-enhanced image of a 1,000-year-old manuscript reveals the faint traces of a copy of Archimedes’ Stomachion treatise. It had been overwritten by monks in the 13th century. (Rochester Institute of Technology, Johns Hopkins University/The Archimedes Palimpsest)
It was chance that led Dr. Netz to his first insight into the nature of the Stomachion. Last August, he says, just as he was about to start transcribing one of the manuscript pages, he got a gift in the mail, a blue cut-glass model of a Stomachion puzzle. It was made by a retired businessman from California who found Dr. Netz on the Internet as a renowned Archimedes scholar. Looking at the model, Dr. Netz realized that a diagram on the page he was transcribing was actually a rearrangement of the pieces of the Stomachion puzzle. Suddenly, he understood what Archimedes was getting at.
See Also:Archimedes Palmpsest