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Junaid Ashraf
LOGIC 
Logic is a study the methods and principles used to distinguish correct from 
incorrect reasoning. 
Logic is also called Art of Arts and Science of Sciences. 
It is a science of reasoning. 
In logic we examine arguments of many varieties, in many spheres… argument in 
science and religion, ethics and law, politics and medicine, commerce and sports, 
and argument arise in every day life.
Whatever the subject or content of an argument, the logician is interested in its 
form and its quality. 
Does the argument do what it purpose to do? 
If asserting the premises of some argument to be true does warrant asserting the 
conclusion also be true. Than the reasoning is correct. Otherwise it is incorrect.
PROPOSITIONS 
Propositions are either true or false, and in this they differ from questions, 
commands, and exclamations. 
Only propositions can be either asserted or denied: questions may be asked and 
commands given and exclamations uttered, but none of them can be affirmed or 
denied, or judged to be either true or false.
SENTENCE AND PROPOSITIONS 
The difference between sentence and proposition is brought out by remarking 
that a sentence is always a part of a language, whereas propositions are not 
peculiar to any of the languages in which they may be expressed. 
It is raining (english) 
Barsaat ho rai he (hindi) 
Il pleut (french)
KINDS OF PROPOSITIONS 
Simple proposition….A proposition making only one assertion. 
Compound propositions…A proposition containing two or more simple 
propositions. 
Disjunctive or Alternative Propositions….A type of propositions; if true at least 
one of the component proposition must be true. 
Hypothetical or conditional propositions …it is false only when the antecedents 
is true and the consequent is false.
ARGUMENT 
An argument is not the mere collection of propositions, but has a structure. In 
describing this structure the term premise and conclusion are usually employed 
The conclusion of an argument is that proposition which is affirmed on the basis 
of the other propositions of the argument 
And these other propositions which are affirmed as providing grounds or 
reasons for accepting the conclusion are the premises of that argument. 
It should be noted that premise and conclusion are relative terms.
Inference …A process of linking propositions by affirming one propositions on 
the basis of one or more other propositions. 
No proposition by itself, in isolation, is either a premiss or a conclusion. 
It is a conclusion only when it occurs in an argument in which it is a claimed to 
follow from propositions assumed in that argument. Like ‘employer’ and 
‘employee’.
An argument always involves at least two proposition--- a conclusion plus one or 
more premisses. 
The conclusion of an argument need not be stated either at its end or at its 
beginning. It can be, and often is, sandwiched in between different premisses 
offered in its support.
RECOGNIZING ARGUMENT 
Conclusion indicator Premise indicator 
Therefore 
Hence 
So 
Accordingly 
In consequence 
Consequently 
Proves that 
As a result 
For this reason 
Thus 
For these reasons 
Since 
Because 
For 
As 
Follows from 
As shown by 
In as much as 
As indicated by 
The reason is that
Conclusion indicator Premises indicator 
It follows that 
I conclude that 
Which shows that 
Which means that 
Which entails that 
Which implies that 
Which allows us to infer that 
Which points to the conclusion that 
We may infer 
For the reason that 
May be inferred from 
May be derived from 
May be deduced from 
In view of the fact that
It should be remarked that not every thing said in the course of an argument is 
either premise or conclusion of that argument. A passage containing an argument 
may also contain other material, which is sometimes irrelevant but often supplies 
important background information that enables the reader to understand.
Some passages may contain two or more arguments, either in succession, or 
intertwined.
RECOGNIZING ARGUMENT 
In every argument one or more premises and a conclusion are asserted. But not 
every assertion of several propositions constitute an argument 
“if object of art are expressive, they are a language” 
Such proposition is called a “conditional”. 
No premiss is asserted, no inference is made, no conclusion is made to be true.
“Because objects of art are expressive, they are a language”. 
Here we do have an argument. 
A conditional statement may look like an argument, but it is not an argument; 
and the two should not be confused.
“synonyms are good servants but bad masters; therefore select them with care. 
(here there fore is a command rather than a proposition, and since a command is 
neither true nor false. Premisses and conclusion must be asserted in an argument. 
‘Since Henery graduated from medical school his probable income is very high’. 
Since Henery graduated from medical school there have been many changes in 
medical techniques. 
(in the second, the word “since” has temporal rather than logical significance.
DEDUCTION AND INDUCTION 
Deductive----only deductive argument involves the claim that its premisses 
provide conclusive grounds for the truth of its conclusion. 
In the case of deductive arguments the technical terms “valid” and “ invalid” are 
used in place of “ correct” and “incorrect”
Inductive-----inductive argument involves the claim that its premisses can not 
give coclusive grounds for its conclusion, but only that they provide some 
grounds for it. 
Inductive argument can be evaluated as better or worse. 
In deduction we infer particular from general truths; while in inductionwe infer 
general from particular ……’

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Logic

  • 2. LOGIC Logic is a study the methods and principles used to distinguish correct from incorrect reasoning. Logic is also called Art of Arts and Science of Sciences. It is a science of reasoning. In logic we examine arguments of many varieties, in many spheres… argument in science and religion, ethics and law, politics and medicine, commerce and sports, and argument arise in every day life.
  • 3. Whatever the subject or content of an argument, the logician is interested in its form and its quality. Does the argument do what it purpose to do? If asserting the premises of some argument to be true does warrant asserting the conclusion also be true. Than the reasoning is correct. Otherwise it is incorrect.
  • 4. PROPOSITIONS Propositions are either true or false, and in this they differ from questions, commands, and exclamations. Only propositions can be either asserted or denied: questions may be asked and commands given and exclamations uttered, but none of them can be affirmed or denied, or judged to be either true or false.
  • 5. SENTENCE AND PROPOSITIONS The difference between sentence and proposition is brought out by remarking that a sentence is always a part of a language, whereas propositions are not peculiar to any of the languages in which they may be expressed. It is raining (english) Barsaat ho rai he (hindi) Il pleut (french)
  • 6. KINDS OF PROPOSITIONS Simple proposition….A proposition making only one assertion. Compound propositions…A proposition containing two or more simple propositions. Disjunctive or Alternative Propositions….A type of propositions; if true at least one of the component proposition must be true. Hypothetical or conditional propositions …it is false only when the antecedents is true and the consequent is false.
  • 7. ARGUMENT An argument is not the mere collection of propositions, but has a structure. In describing this structure the term premise and conclusion are usually employed The conclusion of an argument is that proposition which is affirmed on the basis of the other propositions of the argument And these other propositions which are affirmed as providing grounds or reasons for accepting the conclusion are the premises of that argument. It should be noted that premise and conclusion are relative terms.
  • 8. Inference …A process of linking propositions by affirming one propositions on the basis of one or more other propositions. No proposition by itself, in isolation, is either a premiss or a conclusion. It is a conclusion only when it occurs in an argument in which it is a claimed to follow from propositions assumed in that argument. Like ‘employer’ and ‘employee’.
  • 9. An argument always involves at least two proposition--- a conclusion plus one or more premisses. The conclusion of an argument need not be stated either at its end or at its beginning. It can be, and often is, sandwiched in between different premisses offered in its support.
  • 10. RECOGNIZING ARGUMENT Conclusion indicator Premise indicator Therefore Hence So Accordingly In consequence Consequently Proves that As a result For this reason Thus For these reasons Since Because For As Follows from As shown by In as much as As indicated by The reason is that
  • 11. Conclusion indicator Premises indicator It follows that I conclude that Which shows that Which means that Which entails that Which implies that Which allows us to infer that Which points to the conclusion that We may infer For the reason that May be inferred from May be derived from May be deduced from In view of the fact that
  • 12. It should be remarked that not every thing said in the course of an argument is either premise or conclusion of that argument. A passage containing an argument may also contain other material, which is sometimes irrelevant but often supplies important background information that enables the reader to understand.
  • 13. Some passages may contain two or more arguments, either in succession, or intertwined.
  • 14. RECOGNIZING ARGUMENT In every argument one or more premises and a conclusion are asserted. But not every assertion of several propositions constitute an argument “if object of art are expressive, they are a language” Such proposition is called a “conditional”. No premiss is asserted, no inference is made, no conclusion is made to be true.
  • 15. “Because objects of art are expressive, they are a language”. Here we do have an argument. A conditional statement may look like an argument, but it is not an argument; and the two should not be confused.
  • 16. “synonyms are good servants but bad masters; therefore select them with care. (here there fore is a command rather than a proposition, and since a command is neither true nor false. Premisses and conclusion must be asserted in an argument. ‘Since Henery graduated from medical school his probable income is very high’. Since Henery graduated from medical school there have been many changes in medical techniques. (in the second, the word “since” has temporal rather than logical significance.
  • 17. DEDUCTION AND INDUCTION Deductive----only deductive argument involves the claim that its premisses provide conclusive grounds for the truth of its conclusion. In the case of deductive arguments the technical terms “valid” and “ invalid” are used in place of “ correct” and “incorrect”
  • 18. Inductive-----inductive argument involves the claim that its premisses can not give coclusive grounds for its conclusion, but only that they provide some grounds for it. Inductive argument can be evaluated as better or worse. In deduction we infer particular from general truths; while in inductionwe infer general from particular ……’