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On 5/13/2024 9:31 PM, Richard Damon wrote:What is True(Logic,"¬True(English,'a fish')")?On 5/13/24 10:03 PM, olcott wrote:*You keep forgetting that you said this*>
Can a sequence of true preserving operations applied to expressions
that are stipulated to be true derive p?No, so True(L, p) is false*You keep forgetting that you said this*
and thus ~True(L, p) is true.
>>>
Can a sequence of true preserving operations applied to expressions
that are stipulated to be true derive ~p?No, so False(L, p) is false,So True(L, x) always returns True or False for all
inputs and False(L, x) defined as True(L,~x)
always returns True or False for all inputs.
TruthBearer(L, x) ≡ (True(L,x) ∨ False(L,x))
*To make this easier to understand*
True(English, "a fish") is false
False(English, "a fish") is false
TruthBearer(English, "a fish") is false
Thus "a fish" is rejected as a type mismatch error
for any system of bivalent logic, yet the predicates
still answer correctly.
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