Quote: transitive counting is measuring the cardinality of a set by counting; one-to-one correspondence

Quotation Skeleton

There are two kinds of counting, corresponding to … object, as in "counting the marbles"; in the … [as when counting when placed under ether]. … Learning these [number] words, and how to repeat … [of the cardinality] of sets is learning transitive counting. … [p. 275] it will be a theorem of [Ernie who learned numbers as a progression over an infinite set] that any set has k members if and only if … to k.   Google-1   Google-2

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Quote: intransitive counting is repeating number words in right order, as in counting sheep

Related Topics

Topic: number as a progression for counting and 1-1 relations (22 items)