A All island nations have hospitality industries
B Some island nations may have hospitality industries
C No island nations have hospitality industries
D All hospitality comes from islands
Explanation: We can only conclude that some island nations may have hospitality industries.
A Renewable sources are infinite
B Infinite means sustainable
C Sustainability is valuable
D All of the above
Explanation: For the argument to hold, all these assumptions must be true.
A B is true
B C is true
D All of the above
Explanation: A→D and A true means D true. The cycle A∧B→C, A∧C→B, B∧C→A means if any two are true, the third is true. Since A is true, B and C could be true or false, but D is definitely true.
A All debaters shape public discourse
B Some debaters may shape public discourse
C No debaters shape public discourse
D All public discourse comes from debaters
Explanation: We can only conclude that some debaters may shape public discourse.
A Taxes incentivize change
B Businesses may pass costs to consumers
C Cleaner energy is better
D Emissions are harmful
Explanation: If businesses pass costs to consumers without changing behavior, emissions won\'t decrease.
A Q is true
B R is true
C Q and R can\'t both be true
D P is false
Explanation: P→Q and P true means Q true. P→R and P true means R true. Q∧R→S and S→T means T should be true, but it\'s false. Contradiction.
A All organic fruits support ecosystems
B Some organic fruits may support ecosystems
C No organic fruits support ecosystems
D All ecosystem support comes from organic fruits
Explanation: All organic fruits are sustainable, which protects biodiversity, which supports ecosystems.
A Mentoring is popular
B Staying longer indicates improved retention
C Retention matters
D Mentors are experienced
Explanation: If staying longer indicates improved retention, this strengthens the mentoring-retention link.
A C is true
B D is true
C E is true
D All of the above
Explanation: A∧B→C and both true means C true. A→D means D true. B→E means E true.
A All researchers benefit society
B Some researchers may benefit society
C No researchers benefit society
D All societal benefits come from researchers
Explanation: We can only conclude that some researchers may benefit society.
A Remote work reduces office needs
B Less space means lower costs
C Cost reduction is valuable
D All of the above
Explanation: For the argument to hold, all these assumptions must be true.
A A is false
B D is unknown
C F is unknown
D Both B and F are false
Explanation: A∧B→C and C is false means A∧B is false. But A and B are both true, creating a contradiction. This means the premise must be wrong.
A All free trade agreements benefit consumers
B Some free trade agreements may benefit consumers
C No free trade agreements benefit consumers
D All consumer benefits come from free trade
Explanation: All free trade agreements reduce tariffs, which lower prices, which benefit consumers.
A Social media is widespread
B Depressed people may seek social media for connection
C Depression is harmful
D Social media connects people
Explanation: If depressed people seek social media for connection, the causation could be reversed.
A Q is true
B R is true
C Q and R can\'t both be true
D P is false
Explanation: By modus tollens backwards, if U is false, then T, S, and Q∧R must be false. Since P→Q and P true means Q true, and P→R and P true means R true, having both Q and R true contradicts Q∧R being false.
A All volunteers benefit everyone
B Some volunteers may benefit everyone
C No volunteers benefit everyone
D All community benefits come from volunteers
Explanation: We can only conclude that some volunteers may benefit everyone.
A Preschool is popular
B Better school performance indicates improved outcomes
C Outcomes matter
D Preschool is accessible
Explanation: If better school performance indicates improved outcomes, this strengthens the education-outcome link.
A A is true
B B is true
C C is true
D All of the above
Explanation: D→A and D true means A true. E→B and E true means B true. A∧B→C means C true.
A All motivational books create impact
B Some motivational books may create impact
C No motivational books create impact
D All impact comes from motivational books
Explanation: All motivational books inspire action, which drives change, which creates impact.
A Slippery slope
B Ad hominem
C Straw man
D Circular reasoning
Explanation: Assuming technology leads to human obsolescence is a slippery slope.