In syllogism. a given conclusion in possibilities will be correct if i...
Introduction:
In syllogism, a conclusion is drawn based on two given premises. The conclusion can be either certain or possible, depending on the information provided in the premises. A conclusion is considered definitely true if it follows logically and necessarily from the premises. In this case, if the premise "some apples are fruit" is definitely true, let's analyze whether the conclusion "some apples are fruits" is also true.
Analysis:
1. Premise: Some apples are fruit.
2. Conclusion: Some apples are fruits.
Understanding the Terminology:
Before analyzing the conclusion, it is important to understand the terminology used in syllogism:
- Universal Affirmative (A): All S are P.
- Universal Negative (E): No S is P.
- Particular Affirmative (I): Some S are P.
- Particular Negative (O): Some S are not P.
Evaluating the Conclusion:
1. The premise "some apples are fruit" is a particular affirmative statement (I).
2. The conclusion "some apples are fruits" is also a particular affirmative statement (I).
Conversion of Particular Affirmative Statements:
1. Particular Affirmative (I): Some S are P.
2. Conversion: Some P are S.
Conclusion Analysis:
1. The premise "some apples are fruit" (I) can be converted to "some fruit are apples" (I).
2. The conclusion "some apples are fruits" (I) matches the converted premise "some fruit are apples" (I).
Conclusion:
Based on the given premises, the conclusion "some apples are fruits" is true. It follows logically and necessarily from the given premise "some apples are fruit." The conversion of the premise also supports the conclusion, as it aligns with the same particular affirmative statement. Therefore, the conclusion is correct in this case.
In syllogism. a given conclusion in possibilities will be correct if i...
The conclusion won't follow