Every Proposition
Every Proposition fits into one of three Sets:
Set1) No Truth-Value - Opinion
Set2) Do Not Know Truth-Value - Belief
Set3) Know Truth-Value - Knowledge
As Set1, Set2, and Set3 form an all-inclusive trichotomy, so also does Opinion, Belief, and Knowledge.
Two Assertions About what Belief Is
1) Belief is the probabilistic subset of Set2.
- Know - Do Not Know - Opinion
2) Knowledge is a subset of Belief
- Set3 is a subset of Set2
Truth-values we Know - Knowledge
Set3 is NOT a subset of Set2, ergo Knowledge is NOT a subset of Belief.
Belief is the probabilistic subset of the Do Not Know Set(Set2).
As Set1 is not synonomous with Set2, it is impossible Belief and Opinion are synonyms.
Proper Terminology
Opinion: A proposition of which it is known the proposition has no truth-value. Eg: A waterfall is beautiful. Beautiful is not a quantifiable attribute of a waterfall.
Belief: A proposition of which the truth-value remains unknown that is to be rationalized based on probability.
Knowledge: A proposition of which the truth-value of a certain pattern in the matter of existence is understood with certainty.
What is truth?
Truth is a word.
What is a word?
A word is a certain pattern in the matter of existence.
Understanding with certainty a certain pattern in the matter of existence, such as a word, is Knowledge.
