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social science
introduction to logic

Questions and Answers of Introduction To Logic

The artist who painted the Allegory of Spring was Botticelli. (Ax: x is an artist; Pxy: x painted y; a: the Allegory of Spring; b: Botticelli)Translate the following statements.Statements containing
The man who composed The Nutcracker was Russian. (Mx: x is a man; Cxy: x composed y; Rx: x was Russian; n: The Nutcracker)Translate the following statements.Statements containing definite descriptions
The wife of Othello is Desdemona. (Wxy: x is the wife of y; o: Othello; d: Desdemona)Translate the following statements.Statements containing definite descriptions
The author of Vanity Fair was born in India. (Wxy: x wrote y; Bx: x was born in India; v: Vanity Fair)Translate the following statements.Statements containing definite descriptions
There are exactly two bright stars in Gemini. (Sx: x is a star; Bx: x is bright; Gx: x is in Gemini)Translate the following statements.Numerical statements
There is exactly one natural satellite of the earth. (Sx: x is a satellite of the earth; Nx: x is natural)Translate the following statements.Numerical statements
There is exactly one U.S. Supreme Court. (Ux: x is a U.S. Supreme Court)Translate the following statements.Numerical statements
There are at least three carbon allotropes. (Cx: x is a carbon allotrope)Translate the following statements.Numerical statements
There are at least three carbon allotropes. (Cx: x is a carbon allotrope)Translate the following statements.Numerical statements
There are at least two atoms in a water molecule. (Ax: x is an atom; Wx: x is in a water molecule)Translate the following statements.Numerical statements
There are at least two atoms in a water molecule. (Ax: x is an atom; Wx: x is in a water molecule)Translate the following statements.Numerical statements
There is at least one quarterback on a football team. (Qx: x is a quarterback; Fx: x is on a football team)Translate the following statements.Numerical statements
There are at most two cities in Malta. (Cx: x is a city; Mx: x is in Malta)Translate the following statements.Numerical statements
There is at most one national holiday in July. (Nx: x is a national holiday; Jx: x is in July)Translate the following statements.Numerical statements
There are at most two national parks in South Dakota. (Nx: x is a national park; Sx: x is in South Dakota)Translate the following statements.Numerical statements
There are at most two national parks in South Dakota. (Nx: x is a national park; Sx: x is in South Dakota)Translate the following statements.Numerical statements
There is at most one city in Belize. (Cx: x is a city; Bx: x is in Belize)Translate the following statements.Numerical statements
Every pitcher except Cy Young has won fewer than 500 games. (Px: x is a pitcher; Wx: x has won fewer than 500 games; c: Cy Young)Translate the following statements.Statements involving “all
All metals except mercury are solids at room temperature. (Mx: x is a metal; Sx: x is a solid at room temperature; m: mercury)Translate the following statements.Statements involving “all except”
Every U.S. president except Ford won a national election. (Ux: x is a U.S. president; Wx: x won a national election; f : Ford)Translate the following statements.Statements involving “all except”
Every city except Istanbul is situated on a single continent. (Cx: x is a city; Sx: x is situated on a single continent; i: Istanbul)Translate the following statements.Statements involving “all
Death Valley is the lowest region in North America. (Rx: x is a region; Nx: x is in North America; Lyx: x is lower than y; d: Death Valley)Translate the following statements.Superlative statements
Harvard is the oldest American university. (Ax: x is American; Ux: x is a university; Oxy: x is older than y; h: Harvard)Translate the following statements.Superlative statements
The smallest planet in our solar system is Mercury. (Px: x is a planet in our solar system; Sxy: x is smaller than y; m: Mercury)Translate the following statements.Superlative statements
Hydrogen is the lightest element. (Ex: x is an element; Lxy: x is lighter than y; h: hydrogen)Translate the following statements.Superlative statements
No sport except hockey uses a puck. (Sx: x is a sport; Px: x uses a puck; h: hockey)Translate the following statements.Statements involving “only,” “the only,” and “no . . . except”
No state except Hawaii is surrounded by water. (Sx: x is a state; Wx: x is surrounded by water; h: Hawaii)Translate the following statements.Statements involving “only,” “the only,” and “no
The only U.S. presidents who were Federalists were Washington and Adams. (Ux: x is a U.S. president; Fx: x is a Federalist; w: Washington; a: Adams)Translate the following statements.Statements
The only nation having a maple-leaf flag is Canada. (Nx: x is a nation; Mx: x has a maple-leaf flag; c: Canada)Translate the following statements.Statements involving “only,” “the only,” and
The only national park in Maine is Acadia. (Nx: x is a national park; Mx: x is in Maine; a: Acadia)Translate the following statements.Statements involving “only,” “the only,” and “no . . .
The only national park in Maine is Acadia. (Nx: x is a national park; Mx: x is in Maine; a: Acadia)Translate the following statements.Statements involving “only,” “the only,” and “no . . .
Only Don Larsen has pitched a perfect World Series game. (Px: x has pitched a perfect World Series game; l: Don Larsen)Translate the following statements.Statements involving “only,” “the
Only Linus Pauling has won two unshared Nobel prizes. (Wx: x has won two Nobel prizes; p: Linus Pauling)Translate the following statements.Statements involving “only,” “the only,” and “no .
Hermann Hesse is not André Gide. (h, g)Translate the following statements.Simple identity statements
Marilyn Monroe is Norma Jean Baker. (m, b)Translate the following statements.Simple identity statements
Auguste Renoir is not Claude Monet. (r, m)Translate the following statements.Simple identity statements
Dr. Seuss is Theodore Geisel. (s, g)Translate the following statements.Simple identity statements
Create five statements involving the relational predicate “friend of.” Then translate each statement into the language of predicate logic.
If there are any instructors, then if at least one classroom is available they will be effective. If there are either any textbooks or workbooks, there will be instructors and classrooms.
If anything is missing, then some person stole it. If anything is damaged, then some person broke it. Something is either missing or damaged. Therefore, some person either stole something or broke
If there are any policemen, then if there are any robbers, then they will arrest them. If any robbers are arrested by policemen, they will go to jail. There are some policemen and Macky is a robber.
Some people are friends of every person they know. Every person knows someone (or other). Therefore, at least one person is a friend of someone. (Px: x is a person; Fxy: x is a friend of y; Kxy: x
Some people are friends of every person they know. Every person knows someone (or other). Therefore, at least one person is a friend of someone. (Px: x is a person; Fxy: x is a friend of y; Kxy: x
Dr. Rogers can cure any person who cannot cure himself. Dr. Rogers is a person. Therefore, Dr. Rogers can cure himself. (Px: x is a person; Cxy: x can cure y)Translate the following arguments into
If there are any honest politicians, then if all the ballots are counted they will be reelected. Some honest politicians will not be reelected. Therefore, some ballots will not be counted. (Hx: x is
O’Brien is a person. Furthermore, O’Brien is smarter than any person in the class. Since no person is smarter than himself, it follows that O’Brien is not in the class. (Px: x is a person; Sxy:
A horse is an animal. Therefore, whoever owns a horse owns an animal. (Hx: x is a horse; Ax: x is an animal; Oxy: x owns y)Translate the following arguments into symbolic form. Then derive the
Whoever is a friend of either Michael or Paul will receive a gift. If Michael has any friends, then Eileen is one of them. Therefore, if Ann is a friend of Michael, then Eileen will receive a gift.
Any professional can outplay any amateur. Jones is a professional but he cannot outplay Meyers. Therefore, Meyers is not an amateur. (Px: x is a professional; Ax: x is an amateur; Oxy: x can outplay
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
Derive the conclusion of the following symbolized arguments. Use conditional proof or indirect proof as needed.
If there are any safe drivers, then some safe drivers will be hired.Translate the following statements into symbolic form.
If there are any safe drivers, then if none of the trucks break down they will be hired. (Sx: x is safe; Dx: x is a driver; Tx: x is a truck; Bx: x breaks down; Hx: x will be hired)Translate the
All children in the fourth grade can read any of the books in the library.Translate the following statements into symbolic form.
Some children in the third grade can read any of the books in the library. (Cx: x is a child; Tx: x is in the third grade; Rxy: x can read y; Bx: x is a book; Lx: x is in the library)Translate the
Some lawyers will represent any person who will not represent himself. (Lx: x is a lawyer; Px: x is a person; Rxy: x represents y)Translate the following statements into symbolic form.
Every lawyer will represent a wealthy client. (Lx: x is a lawyer; Rxy: x will represent y; Wx: x is wealthy; Cx: x is a client)Translate the following statements into symbolic form.
If there are any cheaters, then if all the referees are vigilant they will be punished. (Cx: x is a cheater; Rx: x is a referee; Vx: x is vigilant; Px: x will be punished)Translate the following
If there are cheaters, then some cheaters will be punished. (Cx: x is a cheater; Px: x will be punished)Translate the following statements into symbolic form.
Some policemen arrest every traffic violator they see. (Px: x is a policeman; Axy: x arrests y; Tx: x is a traffic violator; Sxy: x sees y)Translate the following statements into symbolic form.
Some policemen arrest only traffic violators. (Px: x is a policeman; Axy: x arrests y; Tx: x is a traffic violator)Translate the following statements into symbolic form.
Some people admire every person they meet.Translate the following statements into symbolic form.
Every person admires some people he or she meets. (Px: x is a person; Axy: x admires y; Mxy: x meets y)Translate the following statements into symbolic form.
Some people speak to whoever speaks to them. (Px: x is a person; Sxy: x speaks to y)Translate the following statements into symbolic form.
Some people break everything they touch. (Px: x is a person; Bxy: x breaks y; Txy: x touches y)Translate the following statements into symbolic form.
Christopher invited some of his friends.Translate the following statements into symbolic form.
Sylvia invited only her friends. (Ixy: x invited y; Fxy: x is a friend of y)Translate the following statements into symbolic form.
Sylvia invited only her friends. (Ixy: x invited y; Fxy: x is a friend of y)Translate the following statements into symbolic form.
Jones can drive any car in the lot.Translate the following statements into symbolic form.
Peterson can drive some of the cars in the lot. (Dxy: x can drive y; Cx: x is a car; Lx: x is in the lot)Translate the following statements into symbolic form.
The Clark Corporation advertises everything it produces. (Axy: x advertises y; Pxy: x produces y)Translate the following statements into symbolic form.
The Clark Corporation advertises everything it produces. (Axy: x advertises y; Pxy: x produces y)Translate the following statements into symbolic form.
The Royal Hotel serves only good drinks. (Sxy: x serves y; Gx: x is good; Dx: x is a drink)Translate the following statements into symbolic form.
Some people can sell anything.Translate the following statements into symbolic form.
No person can sell everything.Translate the following statements into symbolic form.
No person can sell everything.Translate the following statements into symbolic form.
Some people cannot sell anything.Translate the following statements into symbolic form.
Every person can sell something or other. (Px: x is a person; Sxy: x can sell y)Translate the following statements into symbolic form.

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