7 ideas
17950 | The logos enables us to track one particular among a network of objects [Nehamas] |
Full Idea: The logos (the definition) is a summary statement of the path within a network of objects that one will have to follow in order to locate a particular member of that network. | |
From: Alexander Nehamas (Episteme and Logos in later Plato [1984], p.234) | |
A reaction: I like this because it confirms that Plato (as well as Aristotle) was interested in the particulars rather than in the kinds (which I take to be general truths about particulars). |
17951 | A logos may be short, but it contains reference to the whole domain of the object [Nehamas] |
Full Idea: A thing's logos, apparently short as it may be, is implicitly a very rich statement since it ultimately involves familiarity with the whole domain to which that particular object belongs. | |
From: Alexander Nehamas (Episteme and Logos in later Plato [1984], p.234) | |
A reaction: He may be wrong that the logos is short, since Aristotle (Idea 12292) says a definition can contain many assertions. |
17423 | The essence of natural numbers must reflect all the functions they perform [Sicha] |
Full Idea: What is really essential to being a natural number is what is common to the natural numbers in all the functions they perform. | |
From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2) | |
A reaction: I could try using natural numbers as insults. 'You despicable seven!' 'How dare you!' I actually agree. The question about functions is always 'what is it about this thing that enables it to perform this function'. |
17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
Full Idea: A knowledge of 'how many' cannot be inferred from the equinumerosity of two collections; a numerical quantifier statement is needed. | |
From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 3) |
17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
Full Idea: Counting is the activity of putting an initial segment of a serially ordered string in 1-1 correspondence with some other collection of entities. | |
From: Jeffrey H. Sicha (Counting and the Natural Numbers [1968], 2) |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
Full Idea: Archelaus was the first person to say that the universe is boundless. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.Ar.3 |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |
Full Idea: Archelaus wrote that life on Earth began in a primeval slime. | |
From: report of Archelaus (fragments/reports [c.450 BCE]) by Malcolm Schofield - Archelaus | |
A reaction: This sounds like a fairly clearcut assertion of the production of life by evolution. Darwin's contribution was to propose the mechanism for achieving it. We should honour the name of Archelaus for this idea. |