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Presentation of logic: Categorical propositions and the square of opposition

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Presentation of logic: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Topic to be described: ,[object Object],[object Object],[object Object],[object Object],[object Object]
1. The Theory of Deduction: ,[object Object],[object Object]
2. (a) Categorical propositions: ,[object Object],[object Object]
There are four types of categorical propositions which are also called Four Fold Scheme: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
(b) Classes: ,[object Object],[object Object],[object Object],[object Object]
3. (a) Quality: ,[object Object],[object Object],[object Object]
(b) Quantity: ,[object Object],[object Object],[object Object],[object Object],[object Object]
(c) Structure of standard form categorical proposition: ,[object Object],[object Object]
(d) Distribution: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Traditional Square of Opposition: The categorical propositions having same subject and predicate terms may differ in quality & quantity or in both. This differing is called “Opposition”. A Contraries E Subalternation Contradictories Subalternation I Sub Contraries O
Contraries: ,[object Object],[object Object],Example: A : All judges are lawyers. E : No judges are lawyers. A E
Subcontraries: ,[object Object],[object Object],I O Example: I : Some judges are lawyers. O : Some judges are not lawyers.
Subalternation: ,[object Object],[object Object],A I E O Example: A: All teachers are idealistic persons. I: Some teachers are idealistic persons. E: No teachers are idealistic persons O: Some teachers are not idelisti
Contradictories: ,[object Object],[object Object],A : All diamonds are precious stones. O : Some diamonds are not precious stones. E : No diamonds are precious stones. I : Some diamonds are precious stones. A O E I
Any Questions?
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Presentation of logic: Categorical propositions and the square of opposition

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  • 11. The Traditional Square of Opposition: The categorical propositions having same subject and predicate terms may differ in quality & quantity or in both. This differing is called “Opposition”. A Contraries E Subalternation Contradictories Subalternation I Sub Contraries O
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