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Balinski and Young proved their method of apportionment by establishing the mathematical properties that any fair apportionment method should satisfy. They demonstrated that their method adhered to the principles of fairness, such as the quotas of the states and the population criterion, ensuring that no state could gain an advantage simply by the manipulation of population figures. Their work also included formal proofs that highlighted the consistency and stability of their method, reinforcing its theoretical foundation in the context of existing apportionment methods.

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1w ago

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Is algebra in detective work?

Detectives have to prove their theories. Mathematics is one method of proving their case. Numbers don't lie.


True or false to begin an indirect proof you assume that what you intend to prove is true?

False. In an indirect proof, you assume the opposite of what you intend to prove is true. This method involves showing that this assumption leads to a contradiction, thereby confirming that the original statement must be true.


What term best describes a proof in which you assume the opposite of what you prove?

The term that best describes a proof in which you assume the opposite of what you intend to prove is "proof by contradiction." In this method, you start by assuming that the statement you want to prove is false. Then, by logically deriving a contradiction from that assumption, you conclude that the original statement must be true. This technique is commonly used in various fields of mathematics and logic.


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I think so. Copy and paste method could be used to prove this. But this is only my opinion.


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