All college freshmen will gain 15 pounds. Susan is a college freshmen. Therefore, Susan will gain 15 pounds. All college freshmen will gain 15 pounds. Susan gained 15 pounds. Therefore, Susan is a college freshmen. All oranges are fruits All fruits grow on trees Therefore, all oranges grow on trees Some Broadway plays are musicals. Mamma Mia is a Broadway play Therefore, Mamma Mia is a musical. F
All college freshmen will gain 15 pounds. Susan is a college freshmen. Therefore, Susan will gain 15 pounds. All college freshmen will gain 15 pounds. Susan gained 15 pounds. Therefore, Susan is a college freshmen. All oranges are fruits All fruits grow on trees Therefore, all oranges grow on trees Some Broadway plays are musicals. Mamma Mia is a Broadway play Therefore, Mamma Mia is a musical. F
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
please solve the 3
Transcribed Image Text:An argument consists of a set of statements called premises and another statement called the
conclusion.
A deductive argument is valid if its conclusion follows necessarily from its premises. Note
that validity is concerned only with the logical structure of the argument. Validity involves no
personal judgment and has nothing to do with the truth of the premise or conclusion.
If a deductive argument is valid AND its premises are true, then the argument is
sound. Soundness represents the highest test of reliability of a deductive argument because,
at least in principle, a sound argument proves its conclusion true beyond all doubt. However,
soundness often involves personal judgment because people may disagree about the truth of the
arguments premise.
Note: you only need to determine if an argument is sound if it's valid
All-subset
e-disjoint
Some-overlapping
If...then... statements- subsets
Test the validity and soundness of the following arguments.
All college freshmen will gain 15 pounds.
Susan is a college freshmen.
Therefore, Susan will gain 15 pounds.
All college freshmen will gain 15 pounds.
Susan gained 15 pounds.
Therefore, Susan is a college freshmen.
All oranges are fruits
All fruits grow on trees
Therefore, all oranges grow on trees
Some Broadway plays are musicals.
Mamma Mia is a Broadway play
Therefore, Mamma Mia is a musical.
F
valid
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