Introduction to Logic
1
Outline of Today’s Lecture
 What Logic is
 Inference
 Proposition
 Truth Values
 Type of Propositions
2
Examples
All men are mortal.
Socrates is a man.
Therefore Socrates is mortal.
All dogs are animals.
No cats are dog.
Therefore no cats are animals.
3
Logic
“Logic is the study of the general
conditions of valid inference (or
of proof).”
4
Inference
 “An inference is an inferred
judgment, that is, a judgment drive
from another judgment, or from other
judgments.”
5
Examples
1. It seems cloudy outside.
So it might be raining today.
2. It seems cloudy outside.
It might be raining today.
So I should carry my umbrella.
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PROPOSITION
“A judgment of belief when
expressed in language is
commonly called a
proposition.”
 All propositions are either true or false.
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Examples of propositions
 Grass is green.
 The Moon is made of green cheese.
 Sacramento is the capital of California.
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Examples that are not propositions
 Sit down!
 What time is it?
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Three basic elements of an
attributive proposition:
 Subject
 Predicate
 Copula
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Example
Sakib is a cricket player.
Copula
Subject Predicate
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Copula
 Is
 Am
 Are
 Is not
 Am not
 Are not
12
S is p.
S+C+P
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Exercise
1. The moon is made of green cheese.
2. Study logic more often, please.
3. The largest state in the United States was once an independent
republic.
4. Cars are useful.
5. Yay, Cardinals!
6. What time is it?
7. The bone was for the dog.
8. The sun is above the clouds.
9. Grass is green.
10. How nice the bird is!
Please find out the proposition, and determine their subject term,
copula and predicate term
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Type of Propositions
 Categorical Proposition
 Conditional or Hypothetical Proposition
 Disjunctive Proposition
15
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Thank You

Introduction to logic, inference, proposition

  • 1.
  • 2.
    Outline of Today’sLecture  What Logic is  Inference  Proposition  Truth Values  Type of Propositions 2
  • 3.
    Examples All men aremortal. Socrates is a man. Therefore Socrates is mortal. All dogs are animals. No cats are dog. Therefore no cats are animals. 3
  • 4.
    Logic “Logic is thestudy of the general conditions of valid inference (or of proof).” 4
  • 5.
    Inference  “An inferenceis an inferred judgment, that is, a judgment drive from another judgment, or from other judgments.” 5
  • 6.
    Examples 1. It seemscloudy outside. So it might be raining today. 2. It seems cloudy outside. It might be raining today. So I should carry my umbrella. 6
  • 7.
    PROPOSITION “A judgment ofbelief when expressed in language is commonly called a proposition.”  All propositions are either true or false. 7
  • 8.
    Examples of propositions Grass is green.  The Moon is made of green cheese.  Sacramento is the capital of California. 8
  • 9.
    Examples that arenot propositions  Sit down!  What time is it? 9
  • 10.
    Three basic elementsof an attributive proposition:  Subject  Predicate  Copula 10
  • 11.
    Example Sakib is acricket player. Copula Subject Predicate 11
  • 12.
    Copula  Is  Am Are  Is not  Am not  Are not 12
  • 13.
  • 14.
    Exercise 1. The moonis made of green cheese. 2. Study logic more often, please. 3. The largest state in the United States was once an independent republic. 4. Cars are useful. 5. Yay, Cardinals! 6. What time is it? 7. The bone was for the dog. 8. The sun is above the clouds. 9. Grass is green. 10. How nice the bird is! Please find out the proposition, and determine their subject term, copula and predicate term 14
  • 15.
    Type of Propositions Categorical Proposition  Conditional or Hypothetical Proposition  Disjunctive Proposition 15
  • 16.