display all the ideas for this combination of philosophers
2 ideas
7466 | Mesopotamian numbers applied to specific things, and then became abstract [Watson] |
Full Idea: To begin with, in Mesopotamia, counting systems applied to specific commodities (so the symbol for 'three sheep' applied only to sheep, and 'three cows' applied only to cows), but later words for abstract qualities emerged. | |
From: Peter Watson (Ideas [2005], Ch.04) | |
A reaction: It seems from this that we actually have a record of the discovery of true numbers. Delightful. I think the best way to describe what happened is that they began to spot patterns. |
19584 | Whoever first counted to two must have seen the possibility of infinite counting [Novalis] |
Full Idea: Whoever first understood how to count to two, even if he still found it difficult to keep on counting, saw nonetheless the possibility of infinite counting according to the same laws. | |
From: Novalis (Logological Fragments I [1798], 84) | |
A reaction: Presumably it is the discerning of the 'law' which triggers this. Is the key concept 'addition' or 'successor' (or are those the same?). |