13. QUESTIONS FOR ORIGINAL THOUGHT AND INVESTIGATION.

(1) Show that a judgment may be an individual notion as well as a general notion.

(2) Many logicians classify logical propositions in this wise:

PropositionCategorical
ConditionalHypothetical
Disjunctive

Give arguments for and against such a classification.

(3) “All men are bipeds” is a judgment of extension, while “Man is wise” is a judgment of intension. Explain.

(4) “To be logical is to be pedantic.” Discuss this.

(5) Why is the proposition, “He runs,” illogical? Make it logical.

(6) Point out the reasons for calling, “White men are Caucasians,” a particular proposition.

(7) What makes it necessary to change the propositions of ordinary conversation to those of the four logical types?

(8) Some would call the individual proposition particular. Argue the question.

(9) Make a list of five propositions in common speech and show how their partitive implication may mislead.

(10) Explain by circles some only and some at least.

(11) Explain how “et cetera” may change a universal to a particular proposition.

(12) “The real nature of an exclusive is best shown by negating the subject and calling the proposition an E.” Give arguments for and against this statement.

(13) Show that with the immature mind all propositions must be synthetical.

(14) Explain how a proposition may be truistic in form but not in meaning.

(15) Show by the Euler diagram how easy it is for the careless student to think that an “O” does not distribute its predicate.

(16) Explain by the use of two pads (a small yellow one and a large white one) the distribution of terms.

(17) When the logician makes reference to the subject of a proposition, show that he should exercise care in designating it as the logical subject.


CHAPTER 9.
IMMEDIATE INFERENCE—​OPPOSITION.