Table 1.
Validity | Cognitive load | Formal structure | Block argument examples | Nonsense phoneme argument examples |
---|---|---|---|---|
Valid | Low |
p → ¬q p ¬q |
If the block is green then it is not small. The block is green. —————————— The block is not small. |
If the hak is kig then it is not gop. The hak is kig. —————————— The hak is not gop. |
Valid | Low |
(p˅q) → ¬r p ¬r |
If the block is either heavy or large then it is not blue. The block is heavy. —————————— The block is not blue. |
If the hak is either kig or ik then it is not gop. The hak is kig. —————————— The hak is not gop. |
Valid | High |
(p˅q) → ¬r r ¬p |
If the block is either red or square then it is not large. The block is large. —————————— The block is not square. |
If the hak is either ag or bub then it is not frek. The hak is ag. —————————— The hak is not frek. |
Valid | High |
p → ¬q q ¬p |
If the block is large then it is not blue. The block is blue. —————————— The block is not large. |
If the hak is ag then it is not bub. The hak is bub. —————————— The hak is not ag. |
Invalid | Low |
(p˄q) → ¬r p ¬r |
If the block is both blue and square then it is not large. The block is blue. —————————— The block is not large. |
If the tep is both kig and ob then it is not plob. The tep is kig. —————————— The tep is not plob. |
Invalid | Low |
¬p → (q˅r) ¬p q |
If the block is not red then it is either square or small. The block is not red. —————————— The block is square. |
If the hak is not trum then it is either stas or plob. The hak is not trum. —————————— The hak is stas. |
Invalid | High |
(p˄q) → ¬r r ¬p |
If the block is both square and small then it is not blue. The block is blue. —————————– The block is not square. |
If the tep is both grix and ag then it is not ik. The tep is ik. —————————— The tep is not grix. |
Invalid | High |
¬p → (q˅r) ¬q p |
If the block is not blue then it is either small or light. The block is not small. —————————— The block is blue. |
If the tep is not trum then it is either frek or ob. The tep is not frek. —————————— The tep is trum. |