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These are all the possible branches; thus, it is impossible to find a situation in which the premises are true and the conclusion false.
The unspoken assumption in this case is that the premises contain all the relevant information; exceptional circumstances, in which the premises may be true in an unexpected way that allows the conclusion to be false, are ruled out.
The same idea can also be expressed by saying that the intended models of the premises the scenarios in which the premises are all true are the "minimal" or "simplest" ones.
∴ Some Z's are X's. is not a valid inference form, for, although instances of it can be produced in which premises and conclusion are all true, instances of it can also be produced in which the premises are true but the conclusion is false e.g., 5) Every dog is a mammal.
cases in which the premises hold.
There are circumstances in which the premises are true and the conclusion false.
Similar(41)
"40 Days" is one of those movies in which the premise -- can Matt keep his vows despite carnal temptation?
On day 40 he is pouring ice water down his front in one of those movies in which the premise "is reasserted in every scene, presumably on the assumption that the audience might doze off or receive urgent pager messages" (Mitchell).
Just in time for Valentine's Day is "The Dangerous Passion," a lighter-hearted treatise written by the evolutionary psychologist David M. Buss, in which the premise is this: Jealousy has deep evolutionary roots that were critical at one time to the success and proliferation of our ancestors.
If that is the sense in which the premise is intended, then the argument can be said to be a fallacy because despite initial appearances, it affords no support for the conclusion.
The brake design concept is based on the use of friction between the deploying tether and a short pole onto which several turns are wound, and the paper summarises the modelling work that has been done, and then discusses an experiment in which the premise was tested in the laboratory.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com