After having clarified the question: ‘does it exists?’ (with the ‘where’, ‘when’ and ‘how many’; the position, time and quantity), the next-most fundamental question might be: ‘how does it fill?’.
- How far something reaches we can choose to call length,
- how much something covers we can call area and
- how much something fills in the room we can call volume.
All these words are as before just made up; invented to enable us to be accurate when talking.
These words for size – for “fullness” – can just as easily be used for emptiness, so that
- an empty picture frame has an area and
- a hole in the ground a volume.
- An empty “length” seems a bit odd; let’s in that case call it distance.
These sizes are naturally just ways of talking about chunks of space. Chunks of space are “groups” of positions. For instance, length is just ‘how much space’ there is between two positions.
- ‘Length, area, and volume’ (encyclopedia), Encyclopædia Britannica, 2009, www.britannica.com/science/length-area-and-volume (accessed May 2nd, 2019)