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
Few exercises are better adapted to the development of powers of
discrimination and precision than practice in defining logically the
common terms of every-day life. For example: “A book is a pack of
paper-sheets bound together.” “A chair is a piece of furniture with
back and seat, designed for the seating of one person.” “A lead pencil
is a cylindrical writing implement with lead through the center.”
“A door is an obstacle designed to swing in and out to open and close
an entrance.” “An eraser is an implement made to rub out written or
printed characters.”
These definitions, coming from training school students, are not above
criticism, yet they illustrate the point in hand.
=7. THE RULES OF LOGICAL DEFINITION.=
Five rules summarize the requirements to which a logical definition
must conform.
FIRST RULE.
_A logical definition should state the essential attributes of the
species defined._
This means that a logical definition should contain the species, the
proximate genus and the differentia. As the terms species, genus and
differentia have been explained, it will be sufficient to briefly
illustrate this rule.
_Logical According to the First Rule._
species genus differentia
(1) A ――――――― is a ――――― with ―――――――――――.
bird biped feathers
species genus differentia
(2) A ――――――― is a ―――――― ―――――――――――――――――――――――――――.
mascot person supposed to bring good luck
species genus differentia
(3) ―――――――― is a ―――――― of ―――――――――――――――――.
Religion system faith and worship
species genus differentia
(4) A ―――――――― is a ―――――――――――― ―――――――――――――.
moonbeam ray of light from the moon
_Illogical According to the First Rule._
(1) A man is a rational animal.
(“Biped” is the proximate genus, not “animal.”)
(2) A Connotative term always denotes both an object and an attribute.
(No genus.)
(3) A trigon is a polygon.
(No differentia.)
(4) It is a term which denotes an indefinite number of objects or
attributes.
(No species.)
_The Foregoing Illogical Definitions Made Logical._
(1) A man is a rational _biped_.
(2) A Connotative term is a _term_ which denotes both an object and
an attribute.
(3) A trigon is a polygon of _three angles_.
(4) A _general term_ is a term which denotes an indefinite number of
objects or attributes.
SECOND RULE.
_A logical definition should be exactly equivalent to the species
defined._
This means that the species must equal the genus plus the differentia
or the subject and predicate of the definition must be co-extensive――of
the same bigness. The subject must refer to the same number of objects
as the predicate.
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