Logic deals with meanings in a language system rather than actual behavior. A proposition is the meaning of a declarative sentence describing a state of affairs. While logic provides rules for calculations, rational behavior involves goals, assumptions, knowledge, and calculations to achieve goals. Logic is one factor in rational behavior but does not equate to it. Analytical sentences express necessary logical truths, while contradictions express inconsistent statements. Simple propositions represent predicators in capital letters and arguments in lowercase.
Based from the book : "Logic Made Simple for Filipinos" by Florentino Timbreza here is the summary made into powerpoint of Lesson 12: The Categorical Syllogism.
It Includes:
Introduction to categorical syllogism
General Axioms of the Syllogism
Eight Syllogistic Rules
Figures and Moods of the Categorical Syllogism
Examples in these slides are our own, there were no examples derived from the book.
The Traditional Square Of Opposition in logic, The form of Discourse AMIR HASSAN
The Traditional Square Of Opposition,
The Kinds Of Opposition,
1) CONTRADICTORIES.
2) CONTRARIES.
3) SUB-CONTRARIES.
4) SUBALTERNATION.
5) THE SQURE OF OPPOSITION
The form of Discourse ,
ON CATEGORICAL SYLLOGISM
LEGEND
U - universal / P - particular
A - affirmative / N - negative
3 PROPOSITIONS
- MAJOR Premise (first premise)
- MINOR Premise (second premise)
- Conclusion
Rule in constructing the argument:
UUU / UPP / PUP
AAA / ANA / NAN
ON THE TERMS (3 terms)
MAJOR term
- the Predicate of the Conclusion and is found in the Major premise (subject or predicate)
MINOR term
- the Subject of the Conclusion and is found in the Minor premise (subject or predicate)
MIDDLE term
- found in the major and minor premises but not in the conclusion
ON FIGURE (CATEGORICAL SYLLOGISM)
FIGURE-refers to the arrangement of MIDDLE term in the two premises in the syllogism
CONT.
ON MOODS (CATEGORICAL SYLLOGISM)
MOODS refers to the pattern of the types of proposition used in the syllogism.
Knowledge Based Reasoning: Agents, Facets of Knowledge. Logic and Inferences: Formal Logic,
Propositional and First Order Logic, Resolution in Propositional and First Order Logic, Deductive
Retrieval, Backward Chaining, Second order Logic. Knowledge Representation: Conceptual
Dependency, Frames, Semantic nets.
This book is written by LOIBANGUTI, BM, it is just an online copy provided for free. No part of this book mya be republished. but can be used and stored as a softcopy book, can be shared accordingly.
Based from the book : "Logic Made Simple for Filipinos" by Florentino Timbreza here is the summary made into powerpoint of Lesson 12: The Categorical Syllogism.
It Includes:
Introduction to categorical syllogism
General Axioms of the Syllogism
Eight Syllogistic Rules
Figures and Moods of the Categorical Syllogism
Examples in these slides are our own, there were no examples derived from the book.
The Traditional Square Of Opposition in logic, The form of Discourse AMIR HASSAN
The Traditional Square Of Opposition,
The Kinds Of Opposition,
1) CONTRADICTORIES.
2) CONTRARIES.
3) SUB-CONTRARIES.
4) SUBALTERNATION.
5) THE SQURE OF OPPOSITION
The form of Discourse ,
ON CATEGORICAL SYLLOGISM
LEGEND
U - universal / P - particular
A - affirmative / N - negative
3 PROPOSITIONS
- MAJOR Premise (first premise)
- MINOR Premise (second premise)
- Conclusion
Rule in constructing the argument:
UUU / UPP / PUP
AAA / ANA / NAN
ON THE TERMS (3 terms)
MAJOR term
- the Predicate of the Conclusion and is found in the Major premise (subject or predicate)
MINOR term
- the Subject of the Conclusion and is found in the Minor premise (subject or predicate)
MIDDLE term
- found in the major and minor premises but not in the conclusion
ON FIGURE (CATEGORICAL SYLLOGISM)
FIGURE-refers to the arrangement of MIDDLE term in the two premises in the syllogism
CONT.
ON MOODS (CATEGORICAL SYLLOGISM)
MOODS refers to the pattern of the types of proposition used in the syllogism.
Knowledge Based Reasoning: Agents, Facets of Knowledge. Logic and Inferences: Formal Logic,
Propositional and First Order Logic, Resolution in Propositional and First Order Logic, Deductive
Retrieval, Backward Chaining, Second order Logic. Knowledge Representation: Conceptual
Dependency, Frames, Semantic nets.
This book is written by LOIBANGUTI, BM, it is just an online copy provided for free. No part of this book mya be republished. but can be used and stored as a softcopy book, can be shared accordingly.
A fun thought that, if you believe in it, shows how everything begins. But you'll have to figure out the details from here on your own - otherwise it's no fun :)
This slide discusses the difference between deductive and inductive reasoning. It also shows steps of how to work through categorical and conditional syllogisms.
1. Logic Logic is a word that means many things to different people. Many words such as logic and logical could be replaced by expressions such as rational behavior and reasonable. For instance, you may say that “Nicole acted quite logically in locking her door”, meaning that Nicole had good, well thought-out reasons for doing what she did.
2. Logic Definition LOGIC deals with meanings in a language system, not with actual behavior of any sort. Logic deals most centrally with PROPOSITIONS. The term ‘logic’ and ‘logical’ do not apply directly to UTTERANCES (which are instances of behavior) A proposition is the meaning of an utterance of a declarative sentence which describes some state of affairs.
3. Logic Exercice Based on the definition of the term logic, what can you say about the following statements? In other words, do they satisfy the narrow sense of logic? It’s not logical to want to kill herself yes/no Harry is so illogical: first he says he doesn’t want to come, and then he changes his mind. Yes/no The truth that Socrates is mortal follows logically from the fact that Socrates is a man and the fact that all men are mortal. Yes/no Ali is not coming is logically, the negation of Ali is coming. Yes/no
4. Logic There is an important connection between logic and rational action. But it is wrong to equate the two. Logic is just one contributing factor in rational behavior. Rational behavior involves: Goals Assumptions and knowledge about existing states of affairs Calculations, based on these assumptions and knowledge, leading to ways of achieving the goals.
10. Logic Rational action: eating the cheese HOWEVER, If the word cheese is replaced by chalk, would the calculations lead to the conclusion that I should eat a piece of chalk? Yes, the calculations would lead to the same conclusion, because logic provides rules for calculations regardless whether we think it is irrational to eat a piece of chalk.
11. Logic Analytical sentence and Logical contradiction Analytical sentences Are those expressing necessary truths of logic Ex. Either John is here or John is not here. Logical contradiction a. John is here and John is not here b. If someone is here, then no one is here.
12.
13. Logic Exercice: Translate the following into this simple notation: (1) Arthur dreamed (2) Bill Gulped Charlie Swore Patrick cursed Why do we omit ‘the’, ‘a’ in forming this logic? Answer: these do not affect the truth of the proposition Exercice, p. 148