Logic Week 3

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Change the quantity but not the quality of the following categorical proposition.Some artists are designers.

All artists are designers.

Change the quality but not the quantity of the following categorical proposition.No baseball players are well-paid athletes.

All baseball players are well-paid athletes.

Change the quantity but not the quality of the following categorical proposition.Some baseball players are well-paid athletes.

All baseball players are well-paid athletes.

Change the quantity but not the quality of the following categorical proposition.Some bulldozers are heavy-equipment machines.

All bulldozers are heavy-equipment machines.

Change the quality but not the quantity of the following categorical propositions.No compact cars are luxury vehicles.

All compact cars are luxury vehicles.

Change both the quality and the quantity of the following categorical proposition.Some crustaceans are not surgeons.

All crustaceans are surgeons.

Change both the quality and the quantity of the following categorical proposition.Some spiders are not cold-blooded creatures.

All spiders are cold-blooded creatures.

Change the quality but not the quantity of the following categorical proposition.Some baseball players are well-paid athletes.

Some baseball players are not well-paid athletes.

Change the quality but not the quantity of the following categorical proposition.Some bulldozers are not heavy-equipment machines.

Some bulldozers are heavy-equipment machines.

Change the quality but not the quantity of the following categorical proposition.Some bulldozers are heavy-equipment machines.

Some bulldozers are not heavy-equipment machines.

Change the quantity but not the quality of the following categorical propositions.No compact cars are luxury vehicles.

Some compact cars are not luxury vehicles.

Change the quantity but not the quality of the following categorical propositions.No computers are conscious beings.

Some computers are not conscious beings.

Change both the quality and the quantity of the following categorical proposition.No crustaceans are surgeons.

Some crustaceans are surgeons.

Change both the quality and the quantity of the following categorical proposition.All fictional characters are composites of real people.

Some fictional characters are not composites of real people.

Change the quantity but not the quality of the following categorical proposition.All gliders are airplanes.

Some gliders are airplanes.

Change the quantity but not the quality of the following categorical proposition.All goldmines are underground mazes.

Some goldmines are underground mazes.

All Dalmatians are dogs.

Subject term: Dalmatians; Predicate term: dogs. This is an example of an A-proposition.

No Supreme Court decisions are unconstitutional acts.

Subject term: Supreme Court decisions; Predicate term: unconstitutional acts. This is an example of an E-proposition.

All dictators are evil people.

Subject term: dictators; Predicate term: evil people. This is an example of an A-proposition.

Some fashion magazines are not great works of literature.

Subject term: fashion magazines; Predicate term: great works of literature. This is an example of an O-proposition.

No pop-up books are Pulitzer Prize winners.

Subject term: pop-up books; Predicate term: Pulitzer Prize winners. This is an example of an E-proposition.

Some professors are philosophers.

Subject term: professors; Predicate term: philosophers. This is an example of an I-proposition.

All soldiers are well-trained people.

Subject term: soldiers; Predicate term: well-trained people. This is an example of an A-proposition.

No students are professional athletes.

Subject term: students; Predicate term: professional athletes. This is an example of an E-proposition.

No superstitious people are lucky people.

Subject term: superstitious people; Predicate term: lucky people. This is an example of an E-proposition.

Some symphony conductors are musicians.

Subject term: symphony conductors; Predicate term: musicians. This is an example of an I-proposition.

If an A-proposition is true, then you can conclude that the I-proposition is:

True

If an E-proposition is true, then you can conclude that the O-proposition is

True

If an I-proposition is false, then you can conclude that the E-proposition is

True

If an I-proposition is false, then you can conclude that the E-proposition is:

True

If an O-proposition is false, then you can conclude that the I-proposition is:

True

If it is false that "No pets are registered voters" then the proposition "Some pets are registered voters" must be

True

If it is true that "All drummers are musicians," then the proposition "Some drummers are musicians" must be:

True

If it is true that "No computer games are intelligent inventions," then the proposition "Some computer games are not intelligent inventions" must be:

True

If it is true that "No horses are flying creatures," then the proposition "Some horses are not flying creatures" must be

True

In the traditional square of opposition, if a universal proposition is true, then its corresponding particular proposition is also true.

True

In the traditional square of opposition, two contrary categorical propositions can both be false at the same time.

True

In the traditional square of opposition, two subcontrary categorical propositions can both be true at the same time.

True

The contrary of "All hamburgers are beef-based food" is "No hamburgers are beef-based food."

True

The subcontrary of "Some hamburgers are beef-based food" is "Some hamburgers are not beef-based food."

True

If an A-proposition is false, then you can conclude that the E-proposition is:

Undetermined

If an A-proposition is false, then you can conclude that the I-proposition is

Undetermined

If an E-proposition is false, then you can conclude that the O-proposition is:

Undetermined

If an I-proposition is true, then you can conclude that the A-proposition is

Undetermined

If an O-proposition is true, then you can conclude that the I-proposition is

Undetermined

If it is false that "All philosophers are humanists," then what can be said about the proposition "Some philosophers are humanists"?

Undetermined

If it is false that "All stars are objects that are thousands of lightyears away from Earth," then the proposition "Some stars are objects that are thousands of lightyears away from Earth" must be

Undetermined

If it is false that "No horses are flying creatures," then the proposition "Some horses are not flying creatures" must be

Undetermined

If it is false that "No rifles are revolvers," then the proposition "Some rifles are not revolvers" must be:

Undetermined

If it is true that "Some stars are objects that are thousands of lightyears away from Earth," then the proposition "All stars are objects that are thousands of lightyears away from Earth" must be

Undetermined

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).All candy canes are sugar-based products.

Universal affirmative; Subject term distributed; Predicate term undistributed.

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).All superstitions are beliefs based on ancient religions.

Universal affirmative; Subject term distributed; Predicate term undistributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).All laptops are computers.

Universal affirmative; Subject term distributed; Predicate term undistributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).All tobacco cigarettes are carcinogenic products.

Universal affirmative; Subject term distributed; Predicate term undistributed.

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed, predicate term distributed, both terms distributed, or neither term distributed).No fruit pies are pastry made of meat.

Universal negative; Subject term distributed; Predicate term distributed.

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).No polar bears are vegetarians.

Universal negative; Subject term distributed; Predicate term distributed.

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).No televised sporting events are scripted programs.

Universal negative; Subject term distributed; Predicate term distributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).No apples are vegetables.

Universal negative; Subject term distributed; Predicate term distributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).No ice creams are tuna-flavored foods.

Universal negative; Subject term distributed; Predicate term distributed.

All place mats are cloth-based ornaments. Therefore, some place mats are cloth-based ornaments.

Valid

No former Olympic gold medalists are U.S. senators. Therefore, some former Olympic gold medalists are not U.S. senators.

Valid

If an A-proposition is true, then you can conclude that the E-proposition is:

False

If an I-proposition is false, then you can conclude that the A-proposition is:

False

If an I-proposition is true, then you can conclude that the E-proposition is:

False

If it is true that "All drummers are musicians," then the proposition "Some drummers are not musicians" must be:

False

In the traditional square of opposition, A-propositions and E-propositions are contradictory.

False

In the traditional square of opposition, if a particular proposition is true, then its corresponding universal proposition is also true.

False

In the traditional square of opposition, two contradictory categorical propositions can both be false at the same time.

False

In the traditional square of opposition, two contradictory categorical propositions can both be true at the same time.

False

In the traditional square of opposition, two contrary categorical propositions can both be true at the same time.

False

In the traditional square of opposition, two contrary categorical propositions cannot both be false at the same time.

False

The contradictory of "All hamburgers are beef-based food" is "No hamburgers are beef-based food."

False

The subaltern of "No hamburgers are beef-based food" is "All hamburgers are beef-based food."

False

The subaltern of "Some hamburgers are beef-based food" is "All hamburgers are beef-based food."

False

The subcontrary of "All hamburgers are beef-based food" is "No hamburgers are beef-based food."

False

The subcontrary of "Some hamburgers are beef-based food" is "All hamburgers are beef-based food."

False

All currently existing brontosauruses are vegetarians. Therefore, some currently existing brontosauruses are not vegetarians.

Invalid

All currently existing brontosauruses are vegetarians. Therefore, some currently existing brontosauruses are vegetarians.

Invalid

All place mats are cloth-based ornaments. Therefore, no place mats are cloth-based ornaments.

Invalid

No former Olympic gold medalists are U.S. senators. Therefore, some former Olympic gold medalists are U.S. senators.

Invalid

Some former Olympic gold medalists are U.S. senators. Therefore, some former Olympic gold medalists are not U.S. senators.

Invalid

Some used cars are high-priced items. Therefore, no used cars are high-priced items.

Invalid

Some used cars are high-priced items. Therefore, some used cars are not high-priced items.

Invalid

Some used cars are not high-priced items. Therefore, some used cars are high-priced items.

Invalid

Change the quantity but not the quality of the following categorical proposition.Some artists are not designers.

No artists are designers.

Change the quantity but not the quality of the following categorical proposition.Some baseball players are not well-paid athletes.

No baseball players are well-paid athletes.

Change the quantity but not the quality of the following categorical proposition.Some bulldozers are not heavy-equipment machines.

No bulldozers are heavy-equipment machines.

Change both the quality and the quantity of the following categorical proposition.Some fictional characters are composites of real people.

No fictional characters are composites of real people.

Change the quality but not the quantity of the following categorical proposition.All goldmines are underground mazes.

No goldmines are underground mazes.

Change both the quality and the quantity of the following categorical proposition.Some spiders are cold-blooded creatures.

No spiders are cold-blooded creatures.

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some ballet dancers are gifted athletes.

Particular affirmative; Subject term undistributed; Predicate term undistributed.

The categorical proposition that follows is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some sporting events are choreographed programs.

Particular affirmative; Subject term undistributed; Predicate term undistributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some birds are cardinals.

Particular affirmative; Subject term undistributed; Predicate term undistributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some cats are Persian felines.

Particular affirmative; Subject term undistributed; Predicate term undistributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some athletes are not baseball players.

Particular negative; Subject term undistributed; Predicate term distributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some humans are not male beings.

Particular negative; Subject term undistributed; Predicate term distributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some land masses are not continents.

Particular negative; Subject term undistributed; Predicate term distributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some mammals are not quadrupeds.

Particular negative; Subject term undistributed; Predicate term distributed.

The following categorical proposition is to be analyzed in the following three ways: (1) the correct quantity (universal or particular); (2) the correct quality (affirmative or negative); (3) the correct distribution (subject term distributed; predicate term distributed; both terms distributed; or neither term distributed).Some trees are not evergreens.

Particular negative; Subject term undistributed; Predicate term distributed.


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