##  [Dimension](/dimension) 

  ##  [Dimension](https://natural.quantumdictionary.io/dimension-0) 

  

 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)



**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The cardinal number of a basis of a vector space; the minimum number of independent coordinates required to represent any vector in that space (finite or infinite cardinal).

 

 

 

 

 





 

 



 ##  [Dimension](https://puremath.quantumdictionary.io/dimension-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 & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A cardinal invariant that measures the size of a maximal independent set (basis-like object) in linear or analogous algebraic contexts; the notion adapts to contexts (vector space dimension, Krull dimension, topological dimension) and quantifies degrees of freedom or chain lengths appropriate to the structure.