bitants, 73 reversed becomes
37--or only 1 more than 36. This 1 placed at the end of or after 36
makes the 361. Now 37 reversed is 73, and then follows 361, making the
total to be 73,361.
Let the attentive pupil observe that this method does not give any set
of rules for thinking in the same manner in regard to different sets or
example of numbers. That would be impossible. Thinking or finding
relations amongst the objects of thought must be differently worked out
in each case, since the figures themselves are differently grouped.
The foregoing cases in regard to population will suffice for those who
live in the Australian colonies, and to others they will teach the
method of handling such cases, and leave them the pleasure of working
out the process in regard to the population where they reside, or other
application of the method they may wish to make.
Great encouragement is found in the circumstance that after considerable
practice in dealing with numerous figures through In., Ex., and Con.,
new figures are self-remembered from the habit of assimilating numbers.
They henceforth make more vivid impressions than formerly.
INCLUSION embraces cases where the same kind of facts or the principles
were involved, or the same figures occur in different dates with regard
to somewhat parallel facts--End of Augustus's empire [death]
14 A.D.--End of Charlemagne's [death] 814 A.D., and end of Napoleon's
[abdication] 1814 A.D.
EXCLUSION implies facts from the opposite sides relating to the same
events, conspicuously opposite views held by the same man at different
periods, or by different men who were noticeably similar in some other
respects, or antithesis as to the character or difference in the
nationality [if the two nations are frequent foes] of different men in
whose careers, date of birth, or what not, there was something
distinctly parallel--Egbert, first King of England, died 837. William
IV., last King of England, died 1837. What a vivid exclusion here for
instance: Abraham died 1821 B.C., and Napoleon Bonaparte died 1821 A.D.
CONCURRENCES are found in events that occur on the same date or nearly
so, or follow each other somewhat closely.
Charles Darwin, who advocated evolution, now popular with scientists in
every quarter of the globe, and Sir H. Cole, who first advocated
International Exhibitions, now popular in every part of the world
[Inclusion] were born in the same year 1809 [Concurrence] and died in
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