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Description: Law of excluded middle, also called the principle oftertium non datur. Theorem *2.11 of WhiteheadRussell p. 101. It says that something is either true or not true; there are no in-between values of truth. This is an essential distinction of our classical logic and is not a theorem of intuitionistic logic. In intuitionistic logic, if this statement is true for some ph , then ph is decidable. (Contributed by NM, 29-Dec-1992)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | exmid | |- ( ph \/ -. ph ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id | |- ( -. ph -> -. ph ) |
|
| 2 | 1 | orri | |- ( ph \/ -. ph ) |