2. а) Define the following with an example: i) Contradiction ii) Proposition b) Show that (p→ q)^ (p →r)is a Contingency. c) Use quantifiers to express the statement “if somebody is female and is a parent, then this person is someone’s mother d) Let p and q be the propositions: p: I will do every exercise in this book q: I will get an 'A’ in this course Write the following propositions using p and q and logical connectives.

2. а) Define the following with an example: i) Contradiction ii) Proposition b) Show that (p→ q)^ (p →r)is a Contingency. c) Use quantifiers to express the statement “if somebody is female and is a parent, then this person is someone’s mother d) Let p and q be the propositions: p: I will do every exercise in this book q: I will get an 'A’ in this course Write the following propositions using p and q and logical connectives.

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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

2. a)
Define the following with an example:
i)
Contradiction
ii)
Proposition
b)
Show that (p → q)^ (p →r)is a Contingency.
c)
Use quantifiers to express the statement “if somebody is
female and is a parent, then this person is someone's mother
d)
Let p and q be the propositions:
p: I will do every exercise in this book
q: I will get an ´A’ in this course
Write the following propositions using p and q and logical
connectives.

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