Mathematical processes can lead to a kind of model of a thing, from which insights can be gained about the thing itself. Any mathematical relationships arrived at by manipulating abstract statements may or may not convey something truthful about the thing being modelled. (For example, if 2 cups of water are added to 3 cups of water and the abstract mathematical operation 2+3 = 5 is used to calculate the total, the correct answer is 5 cups of water. However, if 2 cups of sugar are added to 3 cups of hot tea and the same operation is used, 5 is an incorrect answer.

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
ChapterA: Working With Diagrams
Section: Chapter Questions
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Mathematical processes can lead to a kind of model of a thing, from which

insights can be gained about the thing itself. Any mathematical relationships

arrived at by manipulating abstract statements may or may not convey

something truthful about the thing being modelled.

(For example, if 2 cups of water are added to 3 cups of water and the

abstract mathematical operation 2+3 = 5 is used to calculate the total, the

correct answer is 5 cups of water. However, if 2 cups of sugar are added to 3

cups of hot tea and the same operation is used, 5 is an incorrect answer.)

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