Book, Paragraph

 1      I,  2 |     indeed the conviction of pure science must be unshakable.~
 2      I,  3 |        demonstrative syllogism of science. If, then, A is implied
 3      I,  7 |          opposites fall under one science, nor even that the product
 4      I,  7 |        can the theorem of any one science be demonstrated by means
 5      I,  7 |  demonstrated by means of another science, unless these theorems are
 6      I,  8 |          terms. Demonstration and science of merely frequent occurrences-e.
 7      I,  9 |       fact falls under a separate science (for the subject genus is
 8      I,  9 |        fact concerns the superior science, to which the attributes
 9      I,  9 |           of all that is, and the science to which they belonged would
10      I,  9 |            his knowledge would be science in a higher or the highest
11      I,  9 |       with the basic facts of the science.~
12      I,  10|         some are peculiar to each science, and some are common, but
13      I,  10|  constituting the province of the science in question.~Peculiar truths
14      I,  10|       numbers. Also peculiar to a science are the subjects the existence
15      I,  10|        indeed every demonstrative science has three elements: (1)
16      I,  10|          from the hypotheses of a science and from illegitimate postulate-I
17      I,  10|          is in the premisses of a science that its hypotheses are
18      I,  11|   explained), to which the man of science applies his demonstrations.
19      I,  11|          all is dialectic and any science which might attempt a universal
20      I,  12|        contradiction, and if each science has its peculiar propositions
21      I,  12|   appropriate" conclusion of each science is developed. Hence it is
22      I,  12|        medicine, nor to any other science: only those questions will
23      I,  12|          geometry or of any other science, such as optics, which uses
24      I,  12|         we may put to each man of science; nor is each man of science
25      I,  12|       science; nor is each man of science bound to answer all inquiries
26      I,  12|          defined field of his own science. If, then, in controversy
27      I,  12|        not exclude them from that science? Again, is the erroneous
28      I,  12|         of premisses from another science; e.g. in a geometrical controversy
29      I,  12|   premisses of this kind-"of" the science but false-that is the contrary
30      I,  12|     false-that is the contrary of science. In mathematics the formal
31      I,  12|       dialectical disputations.~A science expands not by the interposition
32      I,  13|       they differ within the same science and in two ways: (1) when
33      I,  13|   reasoned fact differ within one science and according to the position
34      I,  13|           to geometry, so another science is related to optics, namely
35      I,  17|       whereas all B is D, e.g. no science is animal, all music is
36      I,  17|           is animal, all music is science. Equally well A may be an
37      I,  22| unqualified but only hypothetical science of anything.~As dialectical
38      I,  27|                            27~The science which is knowledge at once
39      I,  27|          more exact and the prior science.~A science such as arithmetic,
40      I,  27|          and the prior science.~A science such as arithmetic, which
41      I,  27|        arithmetic, which is not a science of properties qua inhering
42      I,  27|         exact than and prior to a science like harmonics, which is
43      I,  27|        like harmonics, which is a science of pr,operties inhering
44      I,  27|       substratum; and similarly a science like arithmetic, which is
45      I,  28|                       28~A single science is one whose domain is a
46      I,  28|         essential properties.~One science differs from another when
47      I,  28|          derived those of the one science from those the other. This
48      I,  28|     indemonstrable premisses of a science, for they must be within
49      I,  32|    generically different for each science, it remains to consider
50      I,  33|          then rational intuition, science, and opinion, and what is
51      I,  33|    discursive thought, intuition, science, art, practical wisdom,
52      I,  33|          rather partly to natural science, partly to moral philosophy.~
53     II,  19|           knowledge of the man of science, skill in the sphere of
54     II,  19|        sphere of coming to be and science in the sphere of being.~
55     II,  19|         the originative source of science grasps the original basic
56     II,  19|     original basic premiss, while science as a whole is similarly