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1. (Logie) Give an answer for each item below. (a) Produce the truth table for the proposition Classify this proposition as a tautology, contradiction, or contingency. No need t justify your answer. (b) Consider the propositions p:1 will go to the movies r:I will go alone; 9:1 will go to the theatre :I ill go with a friend. Write the following sentence using formal kgic I will either go to the movies or to the theatre, depending on whether I go alone or with a friend, respectively. (c) The universe of discourse is U = N={0,1,2,3...}. True or false? Justify. VzVy3: (z< y) (z =y+:).

1. (Logie) Give an answer for each item below. (a) Produce the truth table for the proposition Classify this proposition as a tautology, contradiction, or contingency. No need t justify your answer. (b) Consider the propositions p:1 will go to the movies r:I will go alone; 9:1 will go to the theatre :I ill go with a friend. Write the following sentence using formal kgic I will either go to the movies or to the theatre, depending on whether I go alone or with a friend, respectively. (c) The universe of discourse is U = N={0,1,2,3...}. True or false? Justify. VzVy3: (z< y) (z =y+:).

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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1. (Logic) Give an answer for each item below. (a) Produce the truth table for the proposition ((»v q) ^ (p -→ «)) → q- Classify this proposition as a tautology, contradiction, or contingency. No need to justify your answer. (b) Consider the propositions p:I will go to the movies; r:I will go alone; q:I will go to the theatre: s:I will go with a friend. Write the following sentence using formal kogie: I will either go to the movies or to the theatre, depending on whether I go alone or with a friend, respectively. (c) The universe of discourse is U = N= {0,1,2,3...}. True or false? Justify. Vz Vy3: (1< y) (z= y+:).
Transcribed Image Text:1. (Logic) Give an answer for each item below. (a) Produce the truth table for the proposition ((»v q) ^ (p -→ «)) → q- Classify this proposition as a tautology, contradiction, or contingency. No need to justify your answer. (b) Consider the propositions p:I will go to the movies; r:I will go alone; q:I will go to the theatre: s:I will go with a friend. Write the following sentence using formal kogie: I will either go to the movies or to the theatre, depending on whether I go alone or with a friend, respectively. (c) The universe of discourse is U = N= {0,1,2,3...}. True or false? Justify. Vz Vy3: (1< y) (z= y+:).
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