Homework Assignment 1
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School
University of Northwestern St. Paul *
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Course
1105
Subject
Mathematics
Date
Feb 20, 2024
Type
Pages
3
Uploaded by CoachRockWaterBuffalo24
Homework 1 Part I. For the following categorical propositions identify the quantifier, subject term, copula and
predicate term (See Unit 1 Section A from instructor notes)
. 1.
No birds of paradise are species adapted to a warming planet. 2.
Some dogs on this block are malcontents eager to bite the mail carrier. 3.
All free couches abandoned in front of the apartment complex are biohazards potentially hazardous to public health. Part II. For each of the categorical propositions, identify the letter name, quantity, and
quality
. Then state whether the subject and predicate terms are distributed
or undistributed (See Unit 1 Section A from instructor notes). 4.
Some Super-Tastee-Pops sold in this superette are tainted with industrial solvents. 5.
All phases of the moon are natural events unrelated to the rise in crime. 6.
No milfoil harvesters are machines that are presently paddling Minnesota lakes. Change the quality
but not the quantity of the following statement 7.
Some deposed kings are people who put self-enrichment before principle. Change the
quantity but not the
quality of the following statement
8.
No free promotional items received by mail are valid for resale. Change both the
quality and the
quantity of the following statements. 9.
No viral memes are permanently altering our long-term memories.
10.
Some sacrificed pawns are pieces meaningless to the endgame. Part III. Use the Modern Square of Opposition to determine whether the following inferences are
valid or
invalid from the Boolean standpoint (See Unit 1 Section B from instructor notes).
11.
Some lunar craters are formations named for astronomers’ beloved pets
. Therefore, it is false that no lunar craters are formations named for astronomers’ beloved pets. 12.
Some cats are excitedly hiding in boxes. Therefore, some cats are not excitedly hiding in boxes. Part IV. Name the missing
operation, new statement, and truth value as indicated in the following questions (See Unit 1 Section C from instructor notes). Given statement Operation New statement Truth value 13.
Some A are B (T) contraposition _____________ __________ 14.
Some non-A are not B (T) conversion _____________ __________ 15.
Some A are not non-B (T) ____________ Some A are B ___________ 16.
Some A are non-B (F) ____________ Some non-B are A ___________ Part V. Use the Traditional Square of Opposition to provide the missing
truth values (See Unit 1 Section D from instructor notes).
17.
If “All clogs in the machinery are meticulously planned efforts at sabotage
” is false, what is the truth value of the following statements? No clogs in the machinery are meticulously planned efforts at sabotage. Truth value:___ Some clogs in the machinery are meticulously planned efforts at sabotage Truth value:___ Some clogs in the machinery are not meticulously planned efforts at sabotage. Truth Value:___ 18.
If “No darkened hallways in the Hotel Boulderado are haunted by the ghosts of disgruntled former guests
” is true, what is the truth value of the following statements? All darkened hallways in the Hotel Boulderado are haunted by the ghosts of disgruntled former guests. Truth value:______ Some darkened hallways in the Hotel Boulderado are haunted by the ghosts of disgruntled former guests. Truth value:______ Some darkened hallways in the Hotel Boulderado are not haunted by the ghosts of disgruntled former guests. Truth value:______ Part VI. Supply the
operation/relation, new statement
, and
truth value as indicated in the following questions (See Unit 1 Section D from instructor notes). Given
statement Operation/relation New statement Truth value
19.
Some A are non-B (F) subalternation ____________ __________ 20.
No A are non-B (F) contradiction ____________ __________ 21.
Some A are non-B (T) _________________ Some non-B are A ___________ 22.
Some non-A are B (F) ________________ Some non-A are not B ___________
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