A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of TeachingMcNair, George Hastings
Philosophy
A Class Room Logic: Deductive and Inductive, with Special Application to the Science and Art of Teaching
McNair, George Hastings
Logic
(7) Five rules summarize the requirements to which a logical definition
must conform. In a word or two these five rules are: Every logical
definition must (1) state the genus and differentia, (2) be equivalent
to the species defined, (3) not repeat the name to be defined, (4) not
be expressed in obscure language, (5) commonly be affirmative.
(8) Some terms are too high (summum genus), some too low (infima
species), some too peculiar (sui generis) to come within the province
of logical definition.
=12. ILLUSTRATIVE EXERCISES.=
1a. The italicized words in the following propositions are predicables
because they are affirmed of the subject:
(1) “This man weighs _one hundred fifty pounds_.”
(2) “A bird is a _feathered biped_.”
(3) “The earnest teacher is an _indefatigable worker_.”
(4) “Walking is the _most beneficial outdoor exercise_.”
1b. Underscore the predicables in the following:
(1) “All men are rational.”
(2) “Teachers must be just.”
(3) “Every form of unhappiness springs from a wrong condition of the
mind.”
(4) “Calmness of mind is one of the beautiful jewels of wisdom.”
2a. To clarify our ideas it is an excellent plan to select a group
of words belonging to the same genus with a view of defining them as
simply and expeditiously as possible. As an illustration _building_
may be selected as a genus. The word _kind_ will suggest to us the
species, such as dwelling, church, theatre, school, barn, bird-house,
granary and smoke-house. Next it is necessary to discover the basis of
distinction. This seems to be the use to which the building is put. Now
we are ready for the definitions:
_Species_ _Genus_ _Differentia_
A dwelling is a building where people live.
A church is a building where people worship.
A theatre is a building where people act.
A school is a building where children are taught.
A barn is a building where domestic animals, hay and
grain are kept.
A bird-house is a building designed for birds.
A granary is a building where grain is stored.
A smoke-house is a building where meat is smoked.
2b. By selecting _man_ as the genus, define the terms Caucasian,
Mongolian, Ethiopian, Malay and American Indian. Treat the term _chair_
in the same manner.
3a. One may easily distinguish a property from an accident by asking
himself the question, “Would subtracting the attribute from the term
alter its identity”? For example in the following, I find that the
words italicized are properties because subtracting each from the term
changes its identity:
_Term_ _Attributes_
man age, _rationality_, possessions.
book _binding_, _leaves_, size, color, contents.
radium _emits intense light and heat_, costs a million dollars
a pound.
snail _air-breathing mollusk_, moves slowly.
slush _soft mud and snow_, six inches deep.
Public-domain text, read in full here on John Shaqi.
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