teaching:topics:number:axioms-formal
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teaching:topics:number:axioms-formal [2024/05/02 09:44] simon [using 'sets' to describe the properties of numbers] |
teaching:topics:number:axioms-formal [2025/02/24 06:54] (current) simon |
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| We can make interesting and useful sets of things where only some of these properties hold or we can | We can make interesting and useful sets of things where only some of these properties hold or we can | ||
| make finite sets of things that otherwise have all the properties of, say, the integers or rationals. | make finite sets of things that otherwise have all the properties of, say, the integers or rationals. | ||
| - | At school we are mostly looking at either whole numbers (dealing with **discrete** things --- that we can count) or fractions and real numbers (dealing with **continuous** things --- quantities we can measure like length or weight). The difference | + | At school we are mostly looking at either whole numbers (dealing with **discrete** things --- that we can count) or fractions and real numbers (dealing with **continuous** things --- quantities we can measure like length, weight and angles or ratios, scales and proportions). The difference |
| between these two kinds of number is profound, and starting to understand that difference is a crucial step | between these two kinds of number is profound, and starting to understand that difference is a crucial step | ||
| in school maths. | in school maths. | ||
teaching/topics/number/axioms-formal.1714607089.txt.gz ยท Last modified: 2024/05/02 09:44 by simon
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