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Two sets are said to be the equivalent if a (1-1)correspondence can be established between them.If set A is equivalent to set B,then we write A is (1-1)correspondence to set B and It shows the quantities of elements.
probably just the analogy between geometry and arithmetic. Merely a 1:1 correspondence, not a logical link.
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correspondence, balance, agreement, concordance, integration, togetherness, tune
Abe cbd