Full Idea
An object's being two inches long seems to guarantee an infinite number of other properties, such as being less than three inches long. If we must understand the second property to understand the first, then there seems to be a vicious infinite regress.
Gist of Idea
Does the knowledge of each property require an infinity of accompanying knowledge?
Source
Cynthia Macdonald (Varieties of Things [2005], Ch.2)
Book Reference
Macdonald,Cynthia: 'Varieties of Things' [Blackwell 2005], p.242
A Reaction
She dismisses this by saying that we don't need to know an infinity of numbers in order to count. I would say that we just need to distinguish between intrinsic and relational properties. You needn't know all a thing's relations to know the thing.