Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:cardinality |
uncountable
|
| gptkbp:contains |
gptkb:The_Golden_Ratio
e π √2 √3 |
| gptkbp:defines |
Numbers that cannot be expressed as a ratio of two integers
|
| gptkbp:discoveredBy |
gptkb:Hippasus
|
| gptkbp:hasSubgroup |
The Real Numbers
|
| gptkbp:isDisjointWith |
The Rational Numbers
|
| gptkbp:property |
dense in the real numbers
cannot be written as a fraction a/b, where a and b are integers and b ≠ 0 closed under addition with rational numbers (except for special cases) every real number is either rational or irrational non-repeating, non-terminating decimal expansion not closed under addition or multiplication product of two irrational numbers can be rational sum of two irrational numbers can be rational |
| gptkbp:symbol |
ℝ \ ℚ
|
| gptkbp:bfsParent |
gptkb:Drew_Gress
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
The Irrational Numbers
|