Antecedents/Consequents
Logical equivalents
Hypothetical Syllogisms
Establishing Conclusions
Enthymemes
100

Find the antecedent of: If you fall down the stairs, you will break your leg.

You fall down the stairs.

100

Write an equivalent immediate inference for the following statement: No large democracy is an effective government.  

Obverse: All large democracies are non-effective governments.

Converse: No effective government is a large democracy. 

100

If anyone is sick, then he should pray. Joseph is not sick, so Joseph does not need to pray. What is wrong with this hypothetical syllogism?

It is denying the antecedent.

100

Develop a syllogism for the following statement: Some earthquakes are not dangerous. 

No undetectable events are dangerous events. Some earthquakes are undetectable events. Therefore, some earthquakes are not dangerous.

100

We cannot trust Katie, because she lied last week. Translate into a standard syllogism. 

(All last week-liars are untrustworthy people.) All Katie is a last-week liar. All Katie is an untrustworthy person. 

200

Find the consequent of: If you play in virtual reality, you will have fun.

You will have fun.

200

Write an equivalent immediate inference for the following statement: Some pagan myths are profitable reading.

Obverse: Some pagan myths are not non-profitable reading.

Converse: Some profitable readings are pagan myths. 

200

If there is no vision, then the people perish. We must have no vision, for we are perishing people. What is wrong with this hypothetical syllogism?  

It is affirming the consequent.

200

Develop a syllogism for the following conclusion: Some athletes earn straight A's. 

All Joe is a straight-A earner. All Joe is an athlete. Therefore, some athletes are straight-A earners.

200

Mary does well because she pays attention. Translate into a standard syllogism. 

(All attentive people are people who do well.) All Mary is an attentive person. Therefore, All Mary is a person who does well.
300

Find the antecedent of: If I use a parachute when skydiving, I will survive the fall. 

I use a parachute when skydiving.

300

Write an equivalent immediate inference for the following statement: All impossible events are improbable events.

Obverse: No impossible events are probable events.

Contrapositive: All probable events are possible events. 

300

Identify the form: Jesus said, "If you love me you will keep my commandments." John loves Jesus, therefore John keeps His commandments.

Modus Ponens.

300

All bags are pliant repositories. Develop a syllogism for this conclusion. 

All containers are pliant repositories. All bags are containers. Therefore, All bags are pliant repositories.

300

Blessed are the meek, for they will inherit the earth. Translate into a standard syllogism. 

(All earth-inheritors are blessed people.) All the meek are earth-inheritors. Therefore, all the meek are blessed people. 

400

What is the antecedent and consequent of: If you heed instruction then you will prosper.

Antecedent: You heed instruction.

Consequent: You will prosper. 

400

Write an equivalent immediate inference for the following statement: No penguins are non-swimmers.

Obverse: All penguins are swimmers.

Converse: No non-swimmers are penguins. 

400

Identify the form: If you trust in Christ then you are saved. Judas was not saved, so he must not have trusted in Christ.

Modus Tollens.

400

There is no one righteous, not even one. Develop a syllogism for this conclusion. 

No sinner is a righteous person. All people are sinners. Therefore, no person is a righteous person.

400

Anyone who claims to forgive sins is claiming to be God, and Jesus claimed to forgive sins. Translate into a standard syllogism. 

All people claiming to forgive sins are people claiming to be God. All Jesus was a person claiming to forgive sins. (Therefore, All Jesus was a person claiming to be God.)

500

What is the antecedent and consequent of: If you eat food, you will be full.

Antecedent: You eat food.

Consequent: You will be full.

500

Write an equivalent immediate inference for the following statement: Some defendants are not nonresponsive witnesses. 

Obverse: Some defendants are responsive witnesses. 

Contrapositive: Some responsive witnesses are not non-defendants.

500

Create a hypothetical syllogism from this hypothetical statement: If you heed instruction, then you will prosper. What is the form of this syllogism?

If you heed instruction then you will prosper. You heed instruction. Therefore, you will prosper. From: Modus Ponens.

500

A joke is a very serious thing. Develop a syllogism for this conclusion. 

All different perspectives on things are very serious things. All jokes are different perspectives on things. Therefore, all jokes are very serious things.

500

Enoch was not found, because God translated him. Translate into a standard syllogism.

(No God-translated person is a found person.) All Enoch was a God-translated person. Therefore, no Enoch was a found person. 

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