- #1
annoymage
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Homework Statement
"Given a function H, assigning a value, 0 or 1, to each atomic sentence, define a sequence ℑ0, ℑ1, ℑ2, ℑ3,... of functions, as follows:
ℑ0 is just H.
Given a function ℑn, assigning a value, either 0 or 1, to the sentences of degree less than or equal to n, define the function ℑn+1, assigning a value, either 0 or 1, to the sentences of degree less than or equal to n+1, as follows: If φ has degree less than or equal to n, ℑn+1(φ) = ℑn(φ)."
I confused with the english, (sorry I'm not good in english). please clarify thisH({0,1}) = ℑ0, ℑ1, ℑ2, ℑ3,...
(does this mean "Given a function H, assigning a value, 0 or 1, to each atomic sentence, define a sequence ℑ0, ℑ1, ℑ2, ℑ3,... of functions"?)
and what "as follows: ℑ0 is just H." means? as follows? does is mean "such as"?
and i'll post the next question after this answered, because i wan to clear this first.
i'm sorry but the concise language is too concise for me i guess. help