4-7 The Real Numbers
... The Density Property of real numbers states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3. ...
... The Density Property of real numbers states that between any two real numbers is another real number. This property is also true for rational numbers, but not for whole numbers or integers. For instance, there is no integer between –2 and –3. ...
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... Note: Georg Cantor defined the notion of cardinality and was the first to realize that infinite sets can have different cardinalities. א0 is the cardinality of the natural numbers; the next larger cardinality is aleph-one א1, then, א2 and so on. ...
... Note: Georg Cantor defined the notion of cardinality and was the first to realize that infinite sets can have different cardinalities. א0 is the cardinality of the natural numbers; the next larger cardinality is aleph-one א1, then, א2 and so on. ...
