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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
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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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
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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