A Logic of Facts; Or, Every-day ReasoningHolyoake, George Jacob
Philosophy
A Logic of Facts; Or, Every-day Reasoning
Holyoake, George Jacob
Logic
Every legal statute, says Dr. Johnson, is founded on induction. 'Law is
the science in which the greatest powers of understanding are applied
to the greatest number of facts.' The _basis of all_ science is such an
extensive induction of particulars as leads to general definitions and
fundamental axioms, and furnishes the premises from which inferences may
be deduced.
Inductive observation is the great instrument of discovering important
truths. 'What are called the principles of human nature are learned from
individual instances. It is the only possible way of learning them. *
* When we reason from a general law or principle, we are in truth
reasoning from a number of instances represented by It.'*
* Rationale of Political Representation, p. 34.
A general election is an induction of the intelligence of the country
represented by the members of Parliament. The difference between
democracy and monarchy is in one sense an affair of logic. Where
electors are limited in franchise, and candidates restricted by property
qualification, the induction is partial, but where all can vote and many
can be chosen from, the premises are more capacious and the inference
sounder.
Dr. Whately says, that 'in Natural Philosophy a _single instance_ is
often accounted a _sufficient_ induction; e.g., having once ascertained
that an individual magnet will attract iron, we are authorised to
conclude that this property is universal.'
'The Edinburgh Reviewer of Whewell's "History of the Inductive
Sciences," observes that, "by the _accidental_ placing of a rhomb
of calcareous spar, upon a book or line, Bartholinus discovered the
property of the double refraction of light. By _accidentally_ combining
two rhombs in different positions, Huygens discovered the polarisation
of light. By _accidentally_ looking through a prism of the same
substance, and turning it round, Mains discovered the polarisation of
light by reflection; and by placing thin chrystalline films between two
similar prisms or rhombs, M. Arago discovered the phenomena of polarised
tints."
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