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Inception is not a folk song.
|
¬FolkSong(inception)
|
Inception is either a video or a folk song.
|
Video(inception) ⊕ FolkSong(inception)
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Mac is a video.
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Video(mac)
|
All inductive reasoning processes derive general principles from a body of observations.
|
∀x (InductiveReasoning(x) → DeriveFrom(generalPrinciple, observations))
|
Two major types of reasoning rules are inductive reasoning and deductive reasoning.
|
∀x (MajorArgumentForm(x) → (InductiveReasoning(x) ⊕ DeductiveReasoning(x))
|
All deductive reasoning processes are only based on facts and rules.
|
∀x (DeductiveReasoning(x) → (BasedOn(x, fact) ∨ BasedOn(x, rule)))
|
Nothing only based on facts and rules is used for statistical generalization.
|
∀x ((BasedOn(x, fact) ∨ BasedOn(x, rule)) → (¬UsedFor(x, statisticalGeneralization)))
|
Modus Ponens is not both used in inductive reasoning and used for statistical generalization.
|
¬(InductiveReasoning(modusPonens) ∧ UsedFor(modusPonens, statisticalGeneralization))
|
Modus Ponens is a component of a major part of reasoning rule.
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ArgumentForm(modusPonens)
|
Reasoning with Modus Ponens is based on facts and rules.
|
BasedOn(x, fact) ∨ BasedOn(x, rule)
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Modus Ponens derives general principles from a body of observations and is used for statistical generalization.
|
DeriveFrom(generalPrinciple, observations) ∧ UsedFor(x, statisticalGeneralization)
|
If Modus Ponens either derives general principles from a body of observations and is used for statistical generalization, or neither, then Modus Ponens is is neither used in inductive reasoning nor used for statistical generalization.
|
¬(Derive(generalPrinciple, observations) ⊕ UsedFor(x, statisticalGeneralization)) → (¬InductiveReasoning(modusPonens) ∧ (¬UsedFor(modusPonens, statisticalGeneralization)))
|
No trick-shot artist in Yale's varsity team struggles with half court shots.
|
∀x ((In(x, yaleSVarsityTeam) ∧ TrickShotArtist(x)) → ¬StruggleAt(x, halfCourtShot))
|
Everyone on Yale's varsity team is someone who struggles with half court shots or who successfully shoots a high percentage of 3-pointers.
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∀x (In(x, yaleSVarsityTeam) → (StruggleAt(x, halfCourtShot) ∨ GoodAt(x, threes)))
|
Everyone on Yale's varsity team who successfully shoots a high percentage of 3-pointers is solid at shooting 2-pointers.
|
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, threes)) → GoodAt(x, twos))
|
No one on Yale's varsity team who is solid at shooting 2-pointers is bad at mid-range shots.
|
∀x ((In(x, yaleSVarsityTeam) ∧ GoodAt(x, twos)) → BadAt(x, midRangeShot))
|
Jack is on Yale's varsity team, and he is either a trick-shot artist or he successfully shoots a high percentage of 3-pointers.
|
In(jack, yaleSVarsityTeam) ∧ (TrickShotArtist(jack) ⊕ GoodAt(jack, threes))
|
Jack struggles at half court shots.
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StruggleAt(jack, halfCourtShot)
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Jack is bad at mid-range shots.
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BadAt(jack, midRangeShot)
|
Jack is solid at shooting 2-pointers or bad at mid-range shots.
|
GoodAt(jack, twos) ∨ BadAt(jack, midRangeShot)
|
Jack is either solid at shooting 2-pointers or bad at mid-range shots.
|
GoodAt(jack, twos) ⊕ BadAt(jack, midRangeShot)
|
Jack is a trick-shot artist or bad at mid-range shots.
|
TrickShotArtist(jack) ∨ BadAt(jack, midRangeShot))
|
Jack is either a trick-shot artist or bad at mid-range shots.
|
TrickShotArtist(jack) ⊕ BadAt(jack, midRangeShots)
|
Jack is either a player who successfully shoots a high percentage of 3-pointers or is bad at mid-range shots.
|
GoodAt(jack, threes) ⊕ BadAt(jack, midRangeShot)
|
If Jack is not solid at shooting 2-pointers and bad at mid-range shots, then Jack is not solid at shooting 2-pointers and is a player who successfully shoots a high percentage of 3-pointers.
|
BadAt(jack, midRangeShot) ∧ GoodAt(jack, twos) → ¬GoodAt(jack, twos) ∧ GoodAt(jack, threes)
|
If Jack is solid at shooting 2-pointers or successfully shoots a high percentage of 3-pointers, then Jack struggles at half court shots and is bad at mid-range shots.
|
GoodAt(jack, twos) ∨ GoodAt(jack, threes) → BadAt(jack, halfCourtShot) ∧ BadAt(jack, midRangeShot)
|
No plants are fungi.
|
∀x (Plant(x) → ¬Fungi(x))
|
Mushrooms are fungi.
|
∀x (Mushroom(x) → Fungi(x))
|
No plants are mushrooms.
|
∀x (Plant(x) → ¬Mushroom(x))
|
No road is dustless.
|
∀x (Road(x) → ¬Dustless(x))
|
Some streets are roads.
|
∃x ∃y (Street(x) ∧ Street(y) ∧ Road(x) ∧ Road(y) ∧ ¬(x=y))
|
Some streets are dustless.
|
∃x ∃y (Street(x) ∧ Street(y) ∧ Dustless(x) ∧ Dustless(y) ∧ ¬(x=y))
|
New York City is located on the East Coast.
|
LocatedOn(newYorkCity, eastCoast)
|
Seattle is located on the West Coast.
|
LocatedOn(seattle, westCoast)
|
If a person is somewhere located on the East coast and is traveling to somewhere located on the west coast, they will be on a long flight.
|
∀x ∀y ∀z ((TravelingFrom(x, y) ∧ LocatedOn(y, eastcoast) ∧ TravelingTo(x, z) ∧ LocatedOn(z, westcoast)) → OnLongFlight(x))
|
People in business class from New York City to Seattle are not in first class.
|
∀x (InBuisnessClass(x) ∧ TravelingTo(x, seattle) ∧ TravelingFrom(x, newYorkCity) → ¬InFirstClass(x))
|
People on long flights are uncomfortable unless they're in first class.
|
∀x (OnLongFlight(x) ∧ ¬InFirstClass(x) → Uncomfortable(x))
|
People traveling in business class from New York City to Seattle will be uncomfortable.
|
∃x (TravelingTo(x, seattle) ∧ TravelingFrom(x, newYorkCity) ∧ uncomfortable(x))
|
Musicians have very busy lives.
|
∀x (Musician(x) → Have(x, busyLife))
|
Singh Kaur is a musician and famous.
|
Musician(singhKaur) ∧ Famous(singhKaur)
|
If a musician is not famous, that musician will not make a lot of money.
|
∀x (Musician(x) ∧ ¬Famous(x) → ¬MakeALotOfMoney(x))
|
A musician can be a singer or a writer.
|
∃x (Musician(x) ∧ (Singer(x) ∨ Writer(x)))
|
Singh Kaur makes a lot of money.
|
MakeALotOfMoney(singhKaur)
|
Singh Kaur is a writer.
|
Writer(singhKaur)
|
Singh Kaur has a very busy life.
|
Have(singhKaur, busyLife)
|
Each building is tall.
|
∀x (Building(x) → Tall(x))
|
Everything tall has height.
|
∀x (Tall(x) → Height(x))
|
All buildings are magnificent.
|
∀x (Building(x) → Magnificent(x))
|
A cat named Garfield, the main character of the film Garfield, is orange and fat and likes having lasagna.
|
Cat(garfield) ∧ MainCharacterOf(garfield, filmGarfield) ∧ Orange(garfield) ∧ Fat(garfield) ∧ Like(garfield, lasagna)
|
Garfield shares a home with Odie, another pet of Jon's.
|
PetOf(garfield, jon) ∧ PetOf(odie, jon) ∧ ShareHomeWith(garfield, odie)
|
Garfield hates Odie.
|
Hate(garfield, odie)
|
A pet who hates the pet with whom he shares the same owner is childish and possessive.
|
∀x ∀y ∃z (PetOf(x, z) ∧ PetOf(y, z) ∧ Hate(x, y) → Childish(x) ∧ Possessive(x))
|
The main character of the film Garfield is childish and possessive.
|
∃x (MainCharacterOf(x, garfield) ∧ Childish(x) ∧ Possessive(x))
|
All humans are capable of abstract thoughts.
|
∀x (Human(x) → CapableOf(x, abstractThought))
|
Plants are not capable of abstract thoughts.
|
∀x (Plant(x) → ¬CapableOf(x, abstractThought))
|
All multicellular creatures that are autotrophic or digest food internally are plants and animals.
|
∀x (MulticellularCreature(x) ∧ (Autotrophic(x) ∨ DigestFoodInternally (x)) → Plant(x) ⊕ Animal(x))
|
All goats are animals.
|
∀x (Goat(x) → Animal(x))
|
Dirt is not an animal.
|
∀x (Dirt(x) → ¬Animal(x))
|
Hulu is a goat or a human.
|
Goat(hulu) ∨ HumanBeing(hulu)
|
Hulu is a multicellular creature that is autotrophic or digests food internally.
|
(MulticellularCreature(hulu) ∧ (Autotrophic(hulu) ∨ DigestFoodInternally (hulu))
|
Hulu is capable of abstract thoughts.
|
CapableOf(hulu, abstractThought)
|
Hulu is not capable of abstract thoughts.
|
¬CapableOf(hulu, abstractThought)
|
Hulu is dirt.
|
Dirt(hulu)
|
Hulu is an animal or dirt.
|
Animal(hulu) ∨ Dirt(hulu)
|
Hulu is either an animal or dirt, but not both.
|
Animal(hulu) ⊕ Dirt(hulu)
|
If Hulu is either an animal or dirt, then Hulu is capable of abstract thoughts and is dirt.
|
Animal(hulu) ⊕ Dirt(hulu) → CapableOf(hulu, abstractThought) ∧ Dirt(hulu)
|
A controlled substance is a drug.
|
∀x (ControlledSubstances(x) → Drugs(x))
|
There exist both harmful and beneficial controlled substances.
|
∃x ∃y (ControlledSubstances(x) ∧ ControlledSubstances(y) ∧ (¬(x=y)) ∧ Beneficial(x) ∧ Harmful(y))
|
If a child is exposed to a controlled substance, they are in chemical endangerment.
|
∀x ∀y ((Child(x) ∧ ControlledSubstances(y) ∧ ExposedTo(x, y)) → InChemicalEndangerment(x))
|
Chemical Endangerment is harmful.
|
∀x (InChemicalEndangerment(x) → Harmful(x))
|
The Controlled Substances Act was an act passed in 1971.
|
PassedIn(controlledSubstancesAct, yr1971) ∧ Act(controlledSubstancesAct)
|
Some Acts prevent harmful things.
|
∃x ∃y(Act(x) ∧ PreventsHarm(x) ∧ (¬(x=y)) ∧ Act(y) ∧ PreventsHarm(y))
|
The Controlled Substances Act prevents harmful things.
|
PreventsHarm(controlledSubstancesAct)
|
Some drugs are beneficial.
|
∃x ∃y(Drugs(x) ∧ Beneficial(x) ∧ (¬(x=y)) ∧ Drugs(y) ∧ Beneficial(y))
|
A child in chemical endangerment is in harm.
|
∀x ((Child(x) ∧ InChemicalEndangerment(x)) → Harmful(x))
|
No people who have corporate jobs are taking more than normal financial risks.
|
∀x (Have(x, corporateJob) → ¬Take(x, financialRisk))
|
All entrepreneurs are taking more than normal financial risks.
|
∀x (Entrepreneur(x) → Take(x, financialRisk))
|
All risk-averse working people are people who have corporate jobs.
|
∀x (RiskAverse(x) → Have(x, corporateJob))
|
All working people who hate working for others want to be entrepreneurs.
|
∀x (∃y ∃z (¬(y=x) ∧ ¬(z=x) ∧ ¬(y=z) ∧ HateWorkingFor(x, y) ∧ HateWorkingFor(x, z)) → Entrepreneur(x))
|
If Mark Zuckerberg is neither an entrepreneur nor a person who hates working for others, then Mark Zuckerberg is not a risk-averse working person.
|
¬Entrepreneur(markZuckerberg) ∧ ¬(∃y ∃z (¬(y=markZuckerberg) ∧ ¬(z=markZuckerberg) ∧ ¬(y=z) ∧ HateWorkingFor(markZuckerberg, y) ∧ HateWorkingFor(markZuckerberg, z))) → ¬RiskAverse(markZuckerberg)
|
Mark Zuckerberg is an entrepreneur.
|
Entrepreneur(markZuckerberg)
|
Mark Zuckerberg is a risk-averse person.
|
RiskAverse(markZuckerberg)
|
Mark Zuckerberg is not a risk-averse person.
|
¬RiskAverse(markZuckerberg)
|
Wildfeed exists as an unannounced program.
|
∃x (Wildfeed(x) ∧ Unannounced(x) ∧ Program(x))
|
Wildfeed can be sporting events, news, or syndicated shows.
|
∀x (Wildfeed(x) → SportingEvent(x) ∨ News(x) ∨ SyndicatedShow(x))
|
Pre-recorded content is a copyright violation.
|
∀x (Prerecorded(x) → CopyrightViolation(x))
|
Programs are pre-recorded.
|
∀x (Program(x) → Prerecorded(x))
|
Some wildfeed is violating copyright laws.
|
∃x (Wildfeed(x) ∧ CopyrightViolation(x))
|
Wildfeed can be prerecorded.
|
∃x (Wildfeed(x) ∧ Prerecorded(x))
|
Syndicated shows are copyright violations.
|
∃x (SyndicatedShows(x) ∧ CopyrightViolation(x))
|
New York City is Located in the United States of America.
|
LocatedIn(newYorkCity, unitedStatesOfAmerica)
|
The United States of America is part of North America.
|
LocatedIn(usa, northAmerica)
|
North America is in the western hemisphere of the earth.
|
LocatedIn(northAmerica, westernHemisphere)
|
New York City is a highly developed city.
|
HighlyDeveloped(newYorkCity)
|
If place A is located in place B and place B is located in place C, then place A is located in place C.
|
∀x ∀y ∀z ((LocatedIn(x, y) ∧ LocatedIn(y, z)) → LocatedIn(x, z))
|
A highly developed city is located in the western hemisphere of the earth.
|
∃x (HighlyDeveloped(x) ∧ LocatedIn(x, westernHemisphere))
|
The United States of America is not located in the western hemisphere of the earth.
|
¬LocatedIn(unitedStatesOfAmerica, westHemisphere)
|
New York City is located in New York State.
|
LocatedIn(newYorkCity, newYork)
|
Catullus 4 is a poem written by the ancient Roman writer Catullus.
|
Poem(catullus4) ∧ WrittenBy(catullus4, catullus) ∧ AncientRomanWriter(catullus)
|
Catullus 4 is a story about the retirement of a well-traveled ship.
|
Story(catullus4) ∧ About(catullus4, retirementOfAWellTraveledShip)
|
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