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Si può discutere se le frasi del linguaggio comune siano o meno proposizioni, poiché in molti casi non è spesso evidente se una certa affermazione sia vera o falsa.  

Si può discutere se le frasi del linguaggio comune siano o meno proposizioni, poiché in molti casi non è spesso evidente se una certa affermazione sia vera o falsa.  

''‘Fortunately, mathematical propositions, if well expressed, do not show such ambiguities’.''

''‘Fortunatamente, le proposizioni matematiche, se ben espresse, non mostrano tali ambiguità’.''

Simpler propositions can be combined with each other to form new, more complex propositions. This occurs with the help of operators called ''logical operators'' and quantifying connectives which can be reduced to the following<ref>For the sake of simplicity of exposition and reading, we will deal in this chapter with the ''symbol of belonging'', the ''symbol of consequence'' and the "''such that''" as if they were quantifiers and connectives of propositions in classical logic.<br>Strictly speaking, within classical logic they should not be treated as such, but even if we do, this does not absolutely change the meaning of the speech and no inconsistencies of any kind are created.</ref>:

Simpler propositions can be combined with each other to form new, more complex propositions. This occurs with the help of operators called ''logical operators'' and quantifying connectives which can be reduced to the following<ref>For the sake of simplicity of exposition and reading, we will deal in this chapter with the ''symbol of belonging'', the ''symbol of consequence'' and the "''such that''" as if they were quantifiers and connectives of propositions in classical logic.<br>Strictly speaking, within classical logic they should not be treated as such, but even if we do, this does not absolutely change the meaning of the speech and no inconsistencies of any kind are created.</ref>: