Invalid form using "some" is a formal fallacy that covers up the problem when reasoning is based on one of the three fallacies of Agrippa's trilemma. Whenever a logical fallacy is committed, the fallacy has its roots in Agrippa's trilemma. All human thought (without Divine revelation) is based on one of three unhappy possibilities. These three possibilities are infinite regress, circular reasoning, or axiomatic thinking. This problem is known as Agrippa's trilemma. Some have claimed that only logic and math can be known without Divine revelation; however, that is not true. There is no reason to trust either logic or math without Divine revelation. Science is also limited to the pragmatic because of the weakness on human reasoning, which is known as Agrippa's trilemma.
"Some A are B.
C is an A.
Therefore, C is B."(invalid form)
"Some A are B.
Some B are C.
Therefore, some A are C"(invalid form)
Examples of the Logical Fallacy of Invalid form using "Some"
"Some things found in textbooks are true.
Some truth is unknown.
Therefore, some things found in textbooks are unknown."
(invalid form)
"Some Christians are hypocrites.
Rocky is a Christian.
Therefore, Rocky is a hypocrite."
This very argument is often brought up by people who are against Christ, who don't want to follow Him. It is an invalid argument, though.
