Create the argument form either horizontally or vertically 9:10 PM | 0.0KB/s & 9ll all ? EStepla)Given the variables,w: work,m: moneyI: idlee: enjoyStep2b)In the proof above, the terminologies we have used arev: DisjunctionA: Conjunction→: Implication+: Double implication- : NegationIf I work, then I earn money: w → m.If I am idle, then I enjoy myself: i → e.Either I work or I am idle: w V i.If I work, then I do not enjoy myself: w → ~e.While I am idle, then I do not earn money:i → -m.I enjoy myself if and only if I do not earnmoney: e +→ ~m.VX 2. Construct a formal proof in proving the following argument. Follow the steps presented inthis section. Use the given variables for its simple components.If I work, thenlearn money, but if I am idle, then I enjoy myself. Either I work or Iam idle. However, if I work, then I do not enjoy myself, while, I am idle then I donot earn money. Therefore, I enjoy myself if and only if I do not earn money. (w,m, i, e)

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Description: Create the argument form either horizontally or vertically 9:10 PM | 0.0KB/s & 9ll all ? EStepla)Given the variables,w: work,m: moneyI: idlee: enjoyStep2b)In the proof above, the terminologies we have used arev: DisjunctionA: Conjunction→: Implicatio

The variables given for our problem are as follows: w→Workm→MoneyI→Idlee→Enjoy The terminologies we…

Math

Advanced Math

Construct a formal proof in proving the following argument. Follow the steps presented in this section. Use the given variables for its simple components. If I work, then I earn money, but if I am idle, then I enjoy myself. Either I work or I am idle. However, if I work, then I do not enjoy myself, while, I am idle then I do not earn money. Therefore, I enjoy myself if and only if I do not earn money. (w, m, i, e)

Construct a formal proof in proving the following argument. Follow the steps presented in this section. Use the given variables for its simple components. If I work, then I earn money, but if I am idle, then I enjoy myself. Either I work or I am idle. However, if I work, then I do not enjoy myself, while, I am idle then I do not earn money. Therefore, I enjoy myself if and only if I do not earn money. (w, m, i, e)

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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Create the argument form either horizontally or vertically

9:10 PM | 0.0KB/s & 9
ll all ? E
Stepl
a)
Given the variables,
w: work,
m: money
I: idle
e: enjoy
Step2
b)
In the proof above, the terminologies we have used are
v: Disjunction
A: Conjunction
→: Implication
+: Double implication
- : Negation
If I work, then I earn money: w → m.
If I am idle, then I enjoy myself: i → e.
Either I work or I am idle: w V i.
If I work, then I do not enjoy myself: w → ~e.
While I am idle, then I do not earn money:
i → -m.
I enjoy myself if and only if I do not earn
money: e +→ ~m.
VX

2. Construct a formal proof in proving the following argument. Follow the steps presented in
this section. Use the given variables for its simple components.
If I work, thenlearn money, but if I am idle, then I enjoy myself. Either I work or I
am idle. However, if I work, then I do not enjoy myself, while, I am idle then I do
not earn money. Therefore, I enjoy myself if and only if I do not earn money. (w,
m, i, e)

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