Logical Fallacy of Limited Alternatives Fallacy / Fallacy of Exhaustive Hypothesis 

The limited alternatives fallacy is one of the many smokescreens that are used to cover the fact that the 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.

The Logical Fallacy of Limited Alternatives Fallacy / Fallacy of Exhaustive Hypothesis occurs when it is assumed that all of the possible choices have been stated, but one or more choices have not been stated. This is a form of false choice in which all the possible choices are not offered. This is a form of cherry picking in which alternatives rather than data are cherry-picked. It is not the same as a false dilemma in that the choices are not necessarily negative, but the choices are negative in a false dilemma. The alternatives are not necessarily implied to be mutually exclusive, so this is not the same as an exclusivity fallacy. In fact, the alternatives may or may not be mutually exclusive when the fallacy of exhaustive hypothesis is committed.

Examples of the Logical Fallacy of Limited Alternatives Fallacy / Fallacy of Exhaustive Hypothesis

"In 1 Corinthians 1:30, it says, 'It is because of Him [God] that you are in Christ Jesus, who has become for us wisdom from God--that is, our righteousness, holiness and redemption.' This means that wisdom is made up of only righteousness, holiness, and redemption."

Actually, the original language doesn't imply that these three are the totality of what Wisdom is. From the language, it is not a statement that necessarily limit wisdom to these three things.