 ##  [Isolated Point](/isolated-point) 

  ##  [Isolated Point](https://mathlogic.quantumdictionary.io/isolated-point-0) 

  
 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A point of a set that has a neighborhood containing no other points of the set; equivalently a point in the set that is not an accumulation point.

 
 ##  [Isolated Point](https://puremath.quantumdictionary.io/isolated-point-1) 

  
 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A point of a set for which there exists a neighborhood that contains no other points of the set; it is a discrete element of the set and therefore not an accumulation point.