
Notes
... If dealing with a finite domain in which the proof is to be shown to be valid, then using the exhaustive proof technique, one can go over all the possible cases for each member of the finite domain. Final result of this exercise: you prove or disprove the theorem but you could be definitely exhauste ...
... If dealing with a finite domain in which the proof is to be shown to be valid, then using the exhaustive proof technique, one can go over all the possible cases for each member of the finite domain. Final result of this exercise: you prove or disprove the theorem but you could be definitely exhauste ...
Soundness and completeness
... provable in ND. As with most logics, the completeness of propositional logic is harder (and more interesting) to show than the soundness. We shall spend the next few slides with the completeness proof. ...
... provable in ND. As with most logics, the completeness of propositional logic is harder (and more interesting) to show than the soundness. We shall spend the next few slides with the completeness proof. ...
userfiles/SECTION F PROOF BY CONTRADICTION
... Let P be another proposition ‘every non-zero real number has a unique reciprocal’. Then ( not P ) is ‘there is a non-zero real number whose reciprocal is not unique’. What does this mean? There is a number (not zero) which has more than one reciprocal. We will do an example involving reciprocals in ...
... Let P be another proposition ‘every non-zero real number has a unique reciprocal’. Then ( not P ) is ‘there is a non-zero real number whose reciprocal is not unique’. What does this mean? There is a number (not zero) which has more than one reciprocal. We will do an example involving reciprocals in ...
A Mathematical Analysis of Akan Adinkra Symmetry
... structures that have internal consistency. For a mathematical structure to be classified as a group, it has to satisfy certain conditions. There is an operation which when performed on one member of the group gives a result that points to another member of the group. There are also the concepts of a ...
... structures that have internal consistency. For a mathematical structure to be classified as a group, it has to satisfy certain conditions. There is an operation which when performed on one member of the group gives a result that points to another member of the group. There are also the concepts of a ...