math151
when taking direct statements and turning them into converse, inverse, and contrapositive statements into words. does the wording have to be exact or just the overall intrpetation? exa. if it ain't broke, then don't fix it = if it ain't broke, then i will not fix it.
We often need to change things like person (first, second or third person) or tense (past or present) to make sense of a rearragned statement. Person and tense do not affect the logical structure of a statement. So there's a fair amount of freedom in wording.
Your rewording changed from second person ('you' don't fix it) to first ('I' will not fix it), and also changed 'don't' to 'won't', a change in tense.
on A Euler diagrahm. does the format or shape of the diagrahm matter as long as there is a part that will represent the if,then statement?
If a diagram can be drawn in such a way as to represent the premises but contradict the conclusion, then it shows the argument to be invalid.
To show an argument valid, you have to show that no matter how you draw the diagram to be consistent with the premises, it will be impossible to have it contradict the conclusion.
We'll sketch out several arguments tomorrow.