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
(6) Define and illustrate a prosyllogism and an episyllogism.
(7) Why are polysyllogisms so called?
(8) Define and illustrate the sorites.
(9) Relate the sorites and the epicheirema to the enthymeme.
(10) Illustrate the two forms of sorites.
(11) Explain the two forms of sorites by means of a diagram.
(12) Prove the truth of the two rules of the progressive sorites.
(13) Illustrate two kinds of irregular arguments and show that they
are valid.
(14) Complete the five enthymemes of page 248 and indicate their mood
and figure.
=9. QUESTIONS FOR ORIGINAL THOUGHT AND INVESTIGATION.=
(1) Why should enthymemes of the second order be less common than
those of the first?
(2) You desire to make it evident to a child that a small beginning
often leads to a momentous ending; do so in terms of the
enthymeme of the first order.
(3) Show that prosyllogism and episyllogism are relative terms.
(4) When the common premise of the “pro” and “epi” syllogism is
omitted what abbreviated form results?
(5) From the viewpoint of your definition criticise this: “A sorites
is a series of prosyllogisms and episyllogisms in which all of
the conclusions are suppressed except the last.”
(6) Prove the truth of the two rules of the regressive sorites.
(7) Show that the prosyllogism and the episyllogism may be
progressive or regressive.
(8) “Reasoning from cause to effect”――is such progressive or
regressive? Explain.
(9) Which is inductive in nature, the progressive form of reasoning
or the regressive? Explain.
(10) Test the validity of the enthymemes on pages 248 and 249.
(11) “A sorites is at least as immediately convincing as the chain of
syllogisms into which it can be decomposed.” Discuss this.
CHAPTER 14.
CATEGORICAL ARGUMENTS TESTED ACCORDING TO FORM.
=1. ARGUMENTS OF FORM AND MATTER.=
The matter relative to the syllogism treated in chapters 11, 12
and 13 is given primarily to enable the reader to test the validity
of categorical arguments. Such arguments must be viewed from the
two standpoints of _form_ and _matter_, since it is one of the chief
purposes of logic to enable the student to detect fallacious reasoning,
no matter how subtly it may be concealed. Therefore, that one may gain
marked facility in this kind of work, it becomes necessary to proceed
with _thoroughness_ and _confidence_. The _meaning_ of arguments and
the various _material_ fallacies may be treated later; but we are now
equipped with sufficient knowledge and experience to test the validity
of arguments from the viewpoint of _form_.
=2. ORDER OF PROCEDURE IN THE FORMAL TESTING OF ARGUMENTS.=
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