| Paragraph 1 | It follows that we cannot in demonstrating pass from one genus to another. |
| Paragraph 2 | (1) what is proved, the conclusion - an attribute inhering essentially in a genus; |
| Paragraph 3 | (2) the axioms, i.e. axioms which are premisses of demonstration; |
| Paragraph 4 | (3) the subject-genus whose attributes, i.e. essential properties, are revealed by the demonstration. |
| Paragraph 5 | Arithmetical demonstration and the other sciences likewise possess, each of them, their own genera; |
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created 1996/11/25 modified 2009/04/26