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set [2014/12/05 15:14] nikolaj |
set [2014/12/05 15:21] nikolaj |
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| ===== Set ===== | ===== Set ===== | ||
| ==== Category ==== | ==== Category ==== | ||
| + | | @#55CCEE: context | @#55CCEE: ${\mathfrak U}_\mathrm{Sets}$ ... set universe | | ||
| | @#FFBB00: definiendum | @#FFBB00: ${\bf Set}$ | | | @#FFBB00: definiendum | @#FFBB00: ${\bf Set}$ | | ||
| - | | @#55EE55: postulate | @#55EE55: $\mathrm{Ob}_{\bf Set}$ ... set universe | | + | | @#55EE55: postulate | @#55EE55: $\mathrm{Ob}_{\bf Set}:={\mathfrak U}_\mathrm{Sets}$ | |
| | @#AAFFAA: inclusion | @#AAFFAA: ${\bf Set}$ ... locally small category | | | @#AAFFAA: inclusion | @#AAFFAA: ${\bf Set}$ ... locally small category | | ||
| | @#55EE55: postulate | @#55EE55: $f\in{\bf Set}[X,Y]\ \ \Leftrightarrow\ \ f:X\to Y$ | | | @#55EE55: postulate | @#55EE55: $f\in{\bf Set}[X,Y]\ \ \Leftrightarrow\ \ f:X\to Y$ | | ||
| Line 24: | Line 25: | ||
| nLab: [[http://ncatlab.org/nlab/show/Trimble+on+ETCS+I|Trimble on ETCS I]], and links therein. | nLab: [[http://ncatlab.org/nlab/show/Trimble+on+ETCS+I|Trimble on ETCS I]], and links therein. | ||
| ==== Parents ==== | ==== Parents ==== | ||
| + | === Requirements === | ||
| + | [[Set universe]] | ||
| === Elements of === | === Elements of === | ||
| [[Locally small category]] | [[Locally small category]] | ||
| === Requirements === | === Requirements === | ||
| - | [[Function]], [[Set universe]] | + | [[Function]] |
