what is the meaning of validity, truth, and soundness as they relate to the area of logical syllogism?
http://en.wikipedia.org/wiki/Syllogism
http://www.philosophyclass.com/logic.htm
These two sites will explain syllogisms very well.
Since this is not my area of expertise, I searched Google under the key words "logical syllogism validity truth soundness" to get these possible sources:
http://www.classical-homeschooling.org/dialectic/logic.html
http://philosophy.lander.edu/logic/syllabus_tvs.html
http://philosophy.lander.edu/logic/syllabus/node6.html
http://en.wikipedia.org/wiki/Validity
(Broken Link Removed)
I hope this helps. Thanks for asking.
Validity, truth, and soundness are concepts that are important in the area of logical syllogism.
1. Validity: In logic, validity refers to the property of an argument where the conclusion logically follows from the premises. An argument is considered valid if it is impossible for the conclusion to be false while all the premises are true. Validity is a measure of the logical structure of an argument and does not depend on the truth or falsity of the premises or conclusion.
To determine the validity of a syllogism, we need to use the rules of deductive inference and examine the form of the argument. If the conclusion follows logically from the premises, then the syllogism is valid.
2. Truth: Truth refers to the correspondence between the statements in an argument and the actual state of affairs in the world. A statement is considered true if it accurately describes reality.
When evaluating the truth of a syllogism, we need to examine the truth values of the premises and the conclusion. If all the premises are true and the conclusion is also true, then the syllogism is said to be true.
3. Soundness: Soundness combines the concepts of validity and truth. An argument is considered sound if it is valid and all its premises are true.
To determine the soundness of a syllogism, we first check if the argument is valid by examining its logical structure. If it is valid, we then evaluate the truth of the premises to see if they accurately represent reality. If both conditions are met, then the syllogism is sound.
It is important to note that soundness requires both validity and truth, so a syllogism can be valid but not sound if one or more of the premises are false.
I recommend visiting the provided websites and doing further research on logical syllogism to gain a more comprehensive understanding of these concepts.