Exercises
Challenge your mathematical and argumentative logical reasoning skills with this quiz on deductive inference. Work through statements involving universal and negative claims, conditional rules, categories, and exceptions to identify what must logically follow. Questions use classic syllogisms and everyday examples involving Socrates, rain, swans, cats, bicycles, birds, roses, cars, and chocolate. Focus on the structure of each argument rather than whether its premises match real-world facts. Can you distinguish a valid conclusion from an assumption that is not supported by the information given?
Answer the questions below and check the explanation for each answer.
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Given premises lead logically to the conclusion that Socrates, being a man, must be mortal.
By the conditional statement given, the rain ensures that the ground becomes wet.
Since vultures are not machines, and only machines need electricity, vultures do not require it.
As all swans in the group are white, Swan A must also be white as it is part of the group.
The statement "no cats like water" naturally applies to Felix, given that Felix is a cat.
The provided information states that each city resident possesses a bicycle.
The statement "all birds can fly" cannot be universally true since penguins, which are birds, cannot fly.
Absence of being a rose does not preclude Lily from being a flower.
Since some cars are red and red objects are characterized as fast, some cars must also be fast.
If everyone loves chocolate and Jake does not, Jake must be excluded from 'everyone', contradicting the premise.
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