Book, Aphorism

 1        1, VII    |        known, not in the number of axioms.~
 2        1, XIII   |            in vain to intermediate axioms, being no match for the
 3        1, XVII   |   wandering in the construction of axioms than in the formation of
 4        1, XVII   |    induction; but much more in the axioms and lower propositions educed
 5        1, XVIII  |    necessary that both notions and axioms be derived from things by
 6        1, XIX    |    particulars to the most general axioms, and from these principles,
 7        1, XIX    |            the discovery of middle axioms. And this way is now in
 8        1, XIX    |         fashion. The other derives axioms from the senses and particulars,
 9        1, XIX    |        arrives at the most general axioms last of all. This is the
10        1, XXIV   |             XXIV~It cannot be that axioms established by argumentation
11        1, XXIV   |          subtlety of argument. But axioms duly and orderly formed
12        1, XXV    |                            XXV~The axioms now in use, having been
13        1, XL     |         The formation of ideas and axioms by true induction is no
14        1, XLIV   |        also of many principles and axioms in science, which by tradition,
15        1, XLVII  |   heterogeneous instances by which axioms are tried as in the fire,
16        1, LIX    |           formation of notions and axioms.~
17        1, LXIII  |          framing his decisions and axioms, but having first determined
18        1, LXIX   |           the sense and objects to axioms and conclusions, the demonstrations
19        1, LXIX   | established, and then intermediate axioms are tried and proved by
20        1, LXX    |           discover true causes and axioms; and seek for experiments
21        1, LXX    |          experiments of Fruit. For axioms rightly discovered and established
22        1, LXXXI  |          of works and new light of axioms. If then the end of the
23        1, LXXXII |      discover principles and chief axioms, of which arts are composed,
24        1, LXXXII |           of principles or primary axioms, her answer is well known;
25        1, LXXXII |       erratic, and from it educing axioms, and from established axioms
26        1, LXXXII |       axioms, and from established axioms again new experiments; even
27        1, LXXXII |   experience to the open ground of axioms.~
28        1, LXXXV  |         this depends on one or two axioms of nature.~Again, if you
29        1, LXXXV  |            owe to observations and axioms of nature, and how easily
30        1, XCIX   |       serve to discover causes and axioms, which I call Experimenta
31        1, XCIX   |          but from the new light of axioms, which having been educed
32        1, XCIX   |       descends; first ascending to axioms, then descending to works.~
33        1, XCIX   |            fly from particulars to axioms remote and of almost the
34        1, XCIX   |         prove and frame the middle axioms by reference to them; which
35        1, XCIX   |         from particulars to lesser axioms; and then to middle axioms,
36        1, XCIX   |         axioms; and then to middle axioms, one above the other; and
37        1, XCIX   |            general. For the lowest axioms differ but slightly from
38        1, XCIX   |          true and solid and living axioms, on which depend the affairs
39        1, XCIX   |           which those intermediate axioms are really limitations.~
40        1, XCIX   |       sciences.~CV~In establishing axioms, another form of induction
41        1, XCIX   |          only, but also the lesser axioms, and the middle, and indeed
42        1, XCIX   |          used not only to discover axioms, but also in the formation
43        1, XCIX   |            CVI~But in establishing axioms by this kind of induction,
44        1, XCIX   |  experiments to extract causes and axioms, and again from those causes
45        1, XCIX   |        again from those causes and axioms new works and experiments,
46        1, XCIX   |            discovery of causes and axioms, be easily expunged and
47        1, XCIX   |         the sources of the noblest axioms; and yet in itself it is
48        1, XCIX   |          if not applied till after axioms are discovered, is out of
49        1, XCIX   |         experience and in founding axioms thereon. For that other
50        1, XCIX   |            entirely on the primary axioms. And in those things too
51        1, XCIX   |         those primary and catholic axioms concerning simple natures,
52        1, XCIX   |       light is shed by the primary axioms which entirely dispels darkness
53        1, XCIX   |           IX~From the two kinds of axioms which have been spoken of
54        1, X      |          one how to educe and form axioms from experience; the other
55        1, X      |        derive new experiments from axioms. The former again is divided
56        1, X      |      incompetent and unfit to form axioms, unless it be directed and
57        1, XV     |           notions ill defined, and axioms that must be mended every
58        1, XXI    |            and Descending Scale of Axioms.~
59        1, XXVII  |         along to sublime and noble axioms, especially those which
60        1, XXVII  |     conformity of instances in the axioms of science is deserving
61        1, XXXVIII|         which are true notions and axioms, it follows of necessity