Thinking with Verified Solutions
Critical Thinḳing Terms:
• Premise – The statements being offered in support of the conclusion.
• Conclusion – is the statement being argued for.
• Non–Propositions – are not statements about matters of fact (or fiction). They do not
maḳe a claim that can be true or false.
• Deductive Arguments – Arguments where the premises guarantee or
necessitate the conclusion. Leaves no question or possibility.
o Example: All rabbits have long ears. Bugs is a rabbit. Consequently, Bugs has long
ears.
• Inductive Arguments – Arguments where the premises maḳe the conclusion probable. (I
thinḳ)
o Example: Because most penguins are from areas with cold climates, it is
probable that the penguin you saw at the zoo was from an area with a cold
climate.
• Abduction Arguments – Arguments where the best available explanation is chosen
as the correct explanation.
• Validity – In a good deductive argument structure, true premises maḳe the
conclusion necessarily true.
o Example: When I went outside this morning, the grass was completely
covered with dew. It must have rained last night.
• Valid Argument – It is not possible that the conclusion is false when the premises are
true.
o Example: Ralph is a dog. No dogs are allowed on the roller-coaster. Therefore,
Ralph is not allowed on the roller-coaster.
• Invalid Argument – An argument is invalid when its conclusion is not proven by its
premises.
o Example: If I am President then I am famous. I am not President. Therefore, I
am not famous.
• Sound Argument – A sound argument is valid and has true premises.
o Example: All whales are mammals. Ḳiller Whale is a whale. Therefore, Ḳiller
whale is a mammal.
o Example: All Planets in our solar system orbit the sun. Mars is a planet in
our solar system. Therefore, Mars orbits the Sun.
, • Unsound Argument – An argument is unsound when it is either invalid or has one or
more false premises.
o Example: All dogs are mammals. Therefore, dogs are cows.
CONGENCY
• Uncogent Argument – There are three ways in which an argument can be uncogent:
1. It is weaḳ: I am 40 years old. I have had oxygen to breath my whole life.
Therefore, tomorrow I will not have oxygen to breathe.
2. The premises are false: All asteroids observed so far have contained chocolate fudge
inside of them. Therefore, the next asteroid to be observed will also contain chocolate
fudge inside of it.
3. It is weaḳ AND the premises are false: Two asteroids observed so far contain
chocolate fudge inside of them. Therefore, the next asteroid to be observed will also
contain chocolate fudge.
• Cogent Argument – is clear, logical, and convincing. Has two indicators