Exam 9: Deductive Arguments I Categorical Logic

Reconstruct the following as a standard-form syllogism,and determine whether it is valid. Being a mathematical prodigy is not enough to guarantee success at solving problems like Fermat's Last Theorem,because several mathematical prodigies tried their hands at that very problem,and nobody could solve it until just a few years ago. F. No F are S. Therefore,some P are not S. Valid.

Translate the following into a standard-form categorical claim:Angels aren't real.

Translate the following into a standard-form categorical claim:Whenever Tony plays the accordion,people leave.

Translate the following into a standard-form categorical claim:People always duck when Richard picks up a golf club.

Translate the following into a standard-form categorical claim:The only people who vote are members.

Translate the following into a standard-form categorical claim:Chemical-free products are the only organic products.

Translate the following into a standard-form categorical claim:Not every product that's organic is actually a chemical-free product.

Translate the following into a standard-form categorical claim:Tricia's dog goes wherever she goes.

Reconstruct the following as a standard-form syllogism,and determine whether it is valid. God,by definition,possesses all perfections.Existence,by definition,is a perfection.Therefore God,by definition,exists. A. All E are P. Therefore,all E are A. Valid.

Translate the following into a standard-form categorical claim:Mechanics make great lovers.

Translate the following into a standard-form categorical claim:Chemical-free products are not the only organic products.

Here is an argument with an unstated premise or conclusion.Translate it into a standard-form syllogism and determine whether the reasoning is valid. Anyone who missed class failed the course.Therefore,Cecile missed class.

Translate the following into a standard-form categorical claim:Except for members of the Lucero family,there's nobody in the park.

Reconstruct the following as a standard-form syllogism,and determine whether it is valid. All comets that are easily visible are taken as supernatural appearances by religious cults,and the Hale-Bopp comet was the brightest,easiest-to-see comet of a generation.So it was easy to conclude that the cults would make a big,supernatural deal out of it.C. All H are V. Therefore,all H are C.Valid.

Translate the following into a standard-form categorical claim:Not all savings institutions are banks.

Translate the following into a standard-form categorical claim:Wherever there's smoke,there's fire.

Determine whether the following argument is valid by using either the diagram method or the rules of the syllogism. Anything that might indicate an increased risk of heart attack should be taken very seriously by anyone over forty.So high levels of low-density lipids in the bloodstream ought to be taken seriously by such people,because they definitely are indicators of increased risk.

Translate the following into a standard-form categorical claim:Richard Nixon was not impeached.

Translate the following into a standard-form categorical claim:People can't register unless they pay the fee.

Here is an argument with an unstated premise or conclusion.Translate it into a standard-form syllogism and determine whether the reasoning is valid. If you miss class,you fail the course,because you can't learn anything if you miss class.