Elements of Inductive Logic

Front Cover
Harper & brothers, 1895 - Induction (Logic) - 204 pages
 

Contents

Search after causal relation distinguished
19
The definition adequate and real
21
PRINCIPLES 13 Additional principles requisite for induction
22
No simple cause or effect Preventive cause
24
Theoretic view Definitions of cause and effect
25
Its immediate character Formulas
26
Recent scientific view of causation
27
Hamiltons inductive syllogism criticised
28
The principle or axiom of change
29
General objections to the syllogistic view
30
The first principle or axiom of uniformity
31
Induction immediate Preparatory process IV OBSERVATION Page 41 41 43 44 46 47 48 50 51
32
Plurality of effects its maxim Joint effects
33
Observation illustrated Its two modes
34
The second principle or axiom of uniformity
35
Experimental observation Its prerogatives 54 358 55 57 59
36
Plurality of causes its maxim Resultant motion
37
Canon and formula of enumeration of cases
38
Uniformity of nature The axioms compared
39
Its practical and scientific value
40
Analogy distinguished from metaphor and described 67
44
Certainty discriminated Range of probability
45
Practical importance of probable estimates
46
Significance of exceptional cases
47
Chance occurrence and concurrence
48
Calculation of chance Two special cases
49
Separation of casual from causal phenomena
50
The elimination of chance concurrences
51
The general valuation of probabilities
52
Their numerical valuation Statistics
53
Canon
88
DIFFERENCE Page 54 Scientific or perfect induction Canon
102
Methods of determining causal relations
103
The Method of Difference Canon and formula
105
Examples of the method from simple observation
107
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
Measurement of quantity the mark of advanced sci ence
135
The service of this method in developing a science
137
Three limitations to a mathematical 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
HYPOTHESIS Page 80 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 law with known cause Other forms
165
Rival hypotheses Instantiæ crucis
168
Verification alone not proof Power of prediction
169
Proof of an hypothesis two steps Illustrated
171
Example of the use of this method by Newton
174
NATURAL LAW 90 General definition of law
177
Formal and material law
178
Moral and natural law
179
Distribution of natural law
182
Empirical laws of coexistence
185
Rational derivative laws Examples
188
Explanation in its philosophical sense
190
Laws of Nature Examples
193
Inductive sciences becoming deductive
197
The number of the ultimate Laws of Nature
199
INDEX
201
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Page 175 - 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...
Page 31 - 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.
Page 176 - 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.
Page 166 - 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...
Page 31 - 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.
Page 86 - 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.
Page 188 - 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.
Page 199 - 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.
Page 32 - ... 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.
Page 32 - The notion of causation is deemed by the schools of metaphysics most in vogue at the present moment to imply 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...

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