An Investigation
of the Laws of Thought.
"Logic is conversant with two
kinds of relations,  relations among things, and
relations among facts."^{1a}
"
. . . [I]t
is the business of science not to create laws, but
to discover them."^{1b}
"The object of science,
properly so called, is the knowledge of laws and
relations."^{1c
}
JAMES
". . . [T]he
mind possesses certain powers or faculties by
which the mental regard may be fixed upon some ideas, to the
exclusion of others, or by which the given conceptions or
ideas may, in various ways, be combined together. To those
faculties or powers different names, as Attention,
Simple Apprehension, Conception or Imagination, Abstraction,
&c., have been given . . ."^{1d}
PROPOSITION IV.
"That axiom of metaphysicians which
is termed the principle of contradiction, and which
affirms that it is impossible for any being to possess a quality,
and at the same time not to possess it, is a consequence of the
fundamental law of thought, whose expression is x^{2}=x."^{1e}*
"Probability is expectation
founded upon partial knowledge."^{1f}
"The study of every department of
physical science begins with observation, it
advances by the collation of facts to a presumptive
acquaintance with their connecting law, the
validity of such presumption it tests by new
experiments so devised as to augment, if the presumption be
well founded, its probability indefinitely; and finally, the law
of the phænomenon having been with sufficient confidence
determined, the investigation of causes, conducted
by the due mixture of hypothesis and deduction, crowns the
inquiry."^{1g}
ARISTOTLE
BOOLE
PLANCK
JAMES
EINSTEIN
WIGNER
CRICK
BROMLEY
"It is the ability inherent in our
nature to appreciate Order, and the concurrent
presumption, however founded, that the phænomena of Nature are
connected by a principle of Order. Without these, the
general truths of physical science could never have been
ascertained."^{1h}
"The natural order of discovery
is from the particular to the universal . . ."^{1i}
"The laws of thought, in all its
processes of conception and of reasoning, in all those operations
of which language is the expression or instrument, are of the same
kind as are the laws of the acknowledged processes of
Mathematics."^{1j}




George Boole
(18151864). An
Investigation of the Laws of Thought on Which Are Founded
the Mathematical Theories of Logic and Probabilities.
Mineola, NY: Dover Publications, Inc., 1958. (Originally
published by Macmillan in 1854.)
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*
Italics in the original.
^{1}
George Boole
(18151864). An Investigation of
the Laws of Thought on Which Are Founded the Mathematical Theories
of Logic and Probabilities. Mineola, NY: Dover
Publications, Inc., 1958. (Originally published by Macmillan in
1854.)
^{a}
Chapter I. Nature and Design of
this Work, at 7.^{
b}
Ibid., at 11.^{
c}
Chapter III. Derivation of the Laws, at 39.^{
d}
Ibid.,
at 41.^{
e}
Ibid.,
at 49.^{
f}
Chapter XVI. On the Theory of
Probabilities, at
244.^{
g}
Chapter XXII. Constitution of the Intellect,
at 402.^{
h}
Ibid.,
at 403.^{
i}
Ibid.,
at 417.^{
j}
Ibid.,
at 422.
MKBOOKSBOOLE20061023

