Category:OSW21f56795ee724858b57111cfaa59c1a8
jsondata
uuid | "21f56795-ee72-4858-b571-11cfaa59c1a8" |
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name | "Number" |
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label | |
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description | text | "A numerical data value." |
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lang | "en" |
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type | "Category:OSW57beed5e1294434ba77bb6516e461456" |
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uri | "http://emmo.info/emmo#EMMO_21f56795_ee72_4858_b571_11cfaa59c1a8" |
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altLabel | |
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comment | text | "A number individual provides the link between the ontology and the actual data, through the data property hasNumericalValue." |
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lang | "en" |
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text | "A number is actually a string (e.g. 1.4, 1e-8) of numerical digits and other symbols. However, in order not to increase complexity of the taxonomy and relations, here we take a number as an "atomic" object, without decomposit it in digits (i.e. we do not include digits in the EMMO as alphabet for numbers)." |
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lang | "en" |
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text | "In math usually number and numeral are distinct concepts, the numeral being the symbol or a composition of symbols (e.g. 3.14, 010010, three) and the number is the idea behind it.
More than one numeral stands for the same number.
In the EMMO abstract entities do not exists, and numbers are simply defined by other numerals, so that a number is the class of all the numerals that are equivalent (e.g. 3 and 0011 are numerals that stands for the same number).
Or alternatively, an integer numeral may also stands for a set of a specific cardinality (e.g. 3 stands for a set of three apples). Rational and real numbers are simply a syntactic arrangment of integers (digits, in decimal system).
The fact that you can't give a name to a number without using a numeral or, in case of positive integers, without referring to a real world objects set with specific cardinality, suggests that the abstract concept of number is not a concept that can be practically used.
For these reasons, the EMMO will consider numerals and numbers as the same concept." |
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lang | "en" |
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subClassOf | "http://emmo.info/emmo#EMMO_4ce76d7f_03f8_45b6_9003_90052a79bfaa" |
"http://emmo.info/emmo#EMMO_5be83f9c_a4ba_4b9a_be1a_5bfc6e891231" |
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