logic
Assignment
Introduction to Logic: PHI142
August 26, 2014
Weightage: 10 %
All Questions carry equal( ve) Marks.
1. What is
Logic
? Is it bene cial for you to think in a logically consistent
1
manner? [200 words]
2.
What if when . . . the basic laws of logic such as below are not available to us? [200 words]
(a) Law of Identity: A is A
(b) Law of excluded middle: A or not A.
(c) Law of Non contradiction: A and not A both doesn't follow.
3. Why Symbols are important in the domain of mathematics and in the growth of scienti c knowledge?[200 words]
4. Is communication e ective without the logical connectives such as or, and, implies, not, if and only if
? [200 words]
5. Why we treat mathematical truths as certain? Why in logic we em- phasize on \tautologies"
2
rather than contradictions? [200 words]
1
(Consistency) an attribute of a logical system that is so constituted that none of the propositions deducible from the axioms contradict one another 4. [n] - a harmonious uniformity or agreement among things or parts
2
Tautology: a statement that is necessarily true (like 2+2=4)
1
6. what is wrong with the following argument?
The more you study, the more you learn. The more you learn, the more you know.
The more you know, the more you forget. The more you forget, the less you know. The less you know, the less you learn. So, why study?
7. Analyze the following argument:
God is All Powerful, omnipotent and omniscient.
If God can do anything, can He create something that even He can't a ect? (ie: A stone so heavy that He can't lift it)
God can do anything that is Possible.
Even God can't do something that is not possible to be done
Question:
Can God create a stone so heavy that even He can not lift it?
8.
In a harsh totalitarian country an innocent person is arrested on Sunday evening and summarily condemned to execution, which they are told will take place on one of the following ve mornings. To make matters worse,
they
Introduction to Logic: PHI142
August 26, 2014
Weightage: 10 %
All Questions carry equal( ve) Marks.
1. What is
Logic
? Is it bene cial for you to think in a logically consistent
1
manner? [200 words]
2.
What if when . . . the basic laws of logic such as below are not available to us? [200 words]
(a) Law of Identity: A is A
(b) Law of excluded middle: A or not A.
(c) Law of Non contradiction: A and not A both doesn't follow.
3. Why Symbols are important in the domain of mathematics and in the growth of scienti c knowledge?[200 words]
4. Is communication e ective without the logical connectives such as or, and, implies, not, if and only if
? [200 words]
5. Why we treat mathematical truths as certain? Why in logic we em- phasize on \tautologies"
2
rather than contradictions? [200 words]
1
(Consistency) an attribute of a logical system that is so constituted that none of the propositions deducible from the axioms contradict one another 4. [n] - a harmonious uniformity or agreement among things or parts
2
Tautology: a statement that is necessarily true (like 2+2=4)
1
6. what is wrong with the following argument?
The more you study, the more you learn. The more you learn, the more you know.
The more you know, the more you forget. The more you forget, the less you know. The less you know, the less you learn. So, why study?
7. Analyze the following argument:
God is All Powerful, omnipotent and omniscient.
If God can do anything, can He create something that even He can't a ect? (ie: A stone so heavy that He can't lift it)
God can do anything that is Possible.
Even God can't do something that is not possible to be done
Question:
Can God create a stone so heavy that even He can not lift it?
8.
In a harsh totalitarian country an innocent person is arrested on Sunday evening and summarily condemned to execution, which they are told will take place on one of the following ve mornings. To make matters worse,
they