Given Truth Values XY J T T T T T T T T 3 F TI...
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Given Truth Values XY J T T T T T T T T 3 F TI TI F LL F Given Proposition {[(XY) J] [(XJ) > I]} (YJI) . TI F T TI T TTF 1 F T 3 F T TI F F T T F T F F F T F F F T T T F LL T 1 LL 3 F LL F F LL LL 1 3 1. 1 3 I LL T F F LL LL 3 1 3 3 T T T F LL F FF Main Column: This is true because the statement is: { [ (X XODO▬▬▬▬▬▬▬▬▬▬ False in every case ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Based on the column beneath the main operator, this proposition is a 0 True in every case True in one or more cases and false in one or more cases ( DODO▬▬▬▬▬▬▬▬▬▬▬▬▬ U J UUUUUUUUUUUUUUUL [ . UU ▬▬▬▬▬▬▬▬▬▬▬ Truth Table OOOOOOOOOOOOOO JUUUUUUUUUUUUUUU J ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ { [IC ☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐ ▬▬▬▬▬▬▬▬ ▬▬▬▬ Proposition A ~HVM Given Truth Values H M T T T F F T F F Proposition B ~(H. ~M) Main Columns: Proposition A H I || || V I M T [] 1 | || 11 1 || 1 Truth Table I 1] || 1 11 ( Proposition B H 1 || | M 1 L 1 I | | 1 1 1 11 11 1 1 1 ~ Proposition A and proposition B are logically equivalent statements. ● Proposition A and proposition B are neither logically equivalent statements nor contradictory statements. Proposition A and proposition are contradictory statements. ) By comparing the columns beneath the main operators of the two statements, you can see that proposition A and proposition B are related in which of the following ways? Proposition A and proposition B are both logically equivalent statements and contradictory statements. Comparison Given Truth Values XY J T T T T T T T T 3 F TI TI F LL F Given Proposition {[(XY) J] [(XJ) > I]} (YJI) . TI F T TI T TTF 1 F T 3 F T TI F F T T F T F F F T F F F T T T F LL T 1 LL 3 F LL F F LL LL 1 3 1. 1 3 I LL T F F LL LL 3 1 3 3 T T T F LL F FF Main Column: This is true because the statement is: { [ (X XODO▬▬▬▬▬▬▬▬▬▬ False in every case ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ Based on the column beneath the main operator, this proposition is a 0 True in every case True in one or more cases and false in one or more cases ( DODO▬▬▬▬▬▬▬▬▬▬▬▬▬ U J UUUUUUUUUUUUUUUL [ . UU ▬▬▬▬▬▬▬▬▬▬▬ Truth Table OOOOOOOOOOOOOO JUUUUUUUUUUUUUUU J ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ { [IC ☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐☐ ▬▬▬▬▬▬▬▬ ▬▬▬▬ Proposition A ~HVM Given Truth Values H M T T T F F T F F Proposition B ~(H. ~M) Main Columns: Proposition A H I || || V I M T [] 1 | || 11 1 || 1 Truth Table I 1] || 1 11 ( Proposition B H 1 || | M 1 L 1 I | | 1 1 1 11 11 1 1 1 ~ Proposition A and proposition B are logically equivalent statements. ● Proposition A and proposition B are neither logically equivalent statements nor contradictory statements. Proposition A and proposition are contradictory statements. ) By comparing the columns beneath the main operators of the two statements, you can see that proposition A and proposition B are related in which of the following ways? Proposition A and proposition B are both logically equivalent statements and contradictory statements. Comparison
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