The entry on this site “enthymeme” begins with an explanation of the difference between an “enthymeme” and a “syllogism”. It begins by describing what a syllogism is, and offers this example:
All reptiles are cold-blooded animals. (Major premise)
A lizard is a cold-blooded animal. (Minor premise)
Therefore, a lizard is a reptile. (Conclusion)
The problem with this syllogism is that it is an invalid form. A lizard is not a reptile because it is cold-blooded. Amphibians, insects, arachnids (such as spiders), and fish are also cold-blooded. Just insert one of those categories in place of “reptiles” and you’ll immediately see that this form of syllogism is false.
All fish are cold-blooded animals.
A lizard is a cold-blooded animal.
Therefore, a lizard is a fish.
The following is a valid form:
All reptiles are cold-blooded animals.
A lizard is a reptile.
Therefore a lizard is cold-blooded.
Very beautiful argument you have put forward. It is just an example disregard of validity or invalidity. Further explanation will be presented under Syllogism heading.