Elements of Inductive Logic

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American Book Company, 1895 - 204 oldal
 

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The definition adequate and real
21
PRINCIPLES
22
Additional principles requisite for induction 223
24
Theoretic view Definitions of cause and effect
25
Recent scientific view of causation
27
HYPOTHESIS
30
The principle or axiom of change
31
Plurality of effects its maxim Joint effects
33
The second principle or axiom of uniformity
35
Plurality of causes its maxim Resultant motion
37
Uniformity of nature The axioms compared
39
PROCESS 24 An inductive inference exemplified
41
Its immediate character Formulas
43
Aristotles inductive syllogism examined
44
Hamiltons inductive syllogism criticised
46
Whatelys and Mills syllogism criticised
47
General objections to the syllogistic view
48
The function and application of forms
50
Induction immediate Preparatory process
51
OBSERVATION 33 Phenomena of coexistence and of succession
54
Observation illustrated Its two modes
55
Simple observation Its application
57
Experimental observation Its prerogatives
59
ENUMERATION 37 Description Two kinds of enumeration
62
Canon and formula of enumeration of cases
63
The justification of this form of induction
64
Its practical and scientific value
66
Analogy distinguished from metaphor and described
67
Canon and formula of enumeration of marks
69
Justification and limitation of analogy Examples
71
Its practical and scientific value
73
PROBABILITY 45 Certainty discriminated Range of probability
76
Practical importance of probable estimates
78
Significance of exceptional cases
80
Chance occurrence and concurrence
82
Calculation of chance Two special cases
84
Examples from experimental observation Tests
109
Formulas of induction and deduction
111
The Method of Residue Canon and formula
112
Examples of discovery by this method
114
AGREEMENT 62 The Method of Agreement Canon and formula
116
Examples of the application of this method
118
General precautions relative to the methods
120
Imperfection of the method of agreement
122
Its results only probable Its scientific value
123
The Method of Double Agreement Canon and for mula
125
Illustration of its application Its prerogatives
127
A standard example the research on dew
128
CONCOMITANCE 70 Method of Concomitant Variations Canon and for mula
130
Illustration of its application and insufficiency
132
Examples of direct and inverse concomitance
133
73 Measurement of quantity the mark of advanced sci ence
135
The service of this method in developing a science
137
Three limitations to a quantitative induction
138
DEDUCTION 76 Deductions subsequent to induction Discovery
141
Deductions precedent Two classes of effects
146
The Method of Deduction Canon and formula
148
Three stages in the procedure Example
151
The universal use of supposition or hypothesis
155
Supposition involved in all the methods of science
158
Formal use of hypothesis in the deductive method
160
Definition of scientific hypothesis
162
Hypothesis of cause with known law 85 Hypothesis of law with known cause 86 Rival hypotheses Instantiæ crucis 87 Verification alone not proof ...
169
Proof of an hypothesis two steps Illustrated
171
Example of the use of this method by Newton
174
NATURAL
177
General definition of law 91 Formal and material
178
Moral and natural
179
Distribution of natural law 94 Empirical laws of coexistence 95 Empirical laws of succession 168 177 178
202
97 Explanation in its philosophical sense 190 98 Laws of Nature Examples 193 99 Inductive sciences becoming deductive 197 100 The number of...
203
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175. oldal - Lastly, if it universally appears, by experiments and astronomical observations, that all bodies about the earth gravitate towards the earth, and that in proportion to the quantity of matter which they severally contain; that the moon likewise, according to the quantity of its matter, gravitates towards the earth; that, on the other hand, our sea gravitates towards the moon; and all the planets one towards another; and the comets in like manner towards the sun...
31. oldal - Every body continues in its state of rest, or of uniform motion in a right line, unless it is compelled to change that state by forces impressed upon it.
7. oldal - Induction is that operation of mind by which we infer that what we know to be true in a particular case or cases, will be true in all cases which resemble the former in certain assignable respects. In other words, induction is the process by which we conclude that what is true of certain individuals of a class, is true of the whole class, or that what is true at certain times will be true under similar circumstances at all times.
176. oldal - And to us it is enough that gravity does really exist, and act according to the laws which we have explained, and abundantly serves to account for all the motions of the celestial bodies, and of our sea.
166. oldal - Mr. Darwin's remarkable speculation on the Origin of Species is another unimpeachable example of a legitimate hypothesis. What he terms "natural selection" is not only a vera causa, but one proved to be capable of producing effects of the same kind with those which the hypothesis ascribes to it ; the question of possibility is entirely one of degree. It is unreasonable to accuse Mr. Darwin (as has been done) of violating the rules of Induction. The rules of Induction are concerned with the conditions...
31. oldal - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.
86. oldal - The theory of chances consists in reducing all events of the same kind to a certain number of cases equally possible, that is, such that we are equally undecided as to their existence ; and in determining the number of these cases which are favourable to the event of which the probability is sought.
188. oldal - Pressure exerted anywhere upon a mass of liquid is transmitted undiminished in all directions, and acts with the same force on all equal surfaces, and in a direction at right angles to those surfaces.
199. oldal - MAN, as the minister and interpreter of nature, does and understands as much, as his observations on the order of nature, either with regard to things or the mind, permit him, and neither knows nor is capable of more.
32. oldal - ... a mysterious and most powerful tie, such as cannot, or at least does not, exist between any physical fact and that other physical fact on which it is invariably consequent and which is popularly termed its cause: and thence is deduced the supposed necessity of ascending higher into the essences and inherent constitution of things to find the true cause, the cause which is not only followed by, but actually produces, the effect.

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