Enthymemes / Unstated Arguments
An argument in which a premise or the conclusion is left unstated.
What is an Enthymeme?
A formal argument composed of exactly two premises and a single conclusion
What is a syllogism?
A syllogism made up entirely of conditional propositions
What is a hypothetical syllogism?
A syllogism built around an "Either / or" statement
What is a disjunctive syllogism?
The representation of propositional arguments using capital or lowercase letters along with connective symbols.
What is symbolic or sentential logic?
The total number of orders into which enthymemes are classified.
What is 3?
A logical statement formatted as an "If... then..." proposition.
What is a hypothetical statement/proposition?
The Latin term for a mixed hypothetical syllogism that operates "in the affirmative" by affirming the antecedent
What is Modus Ponens
True or False: In a standard disjunctive syllogism, affirming one disjunct validly proves that the other disjunct is false
What is false?
The type of statement or syllogism represented symbolically using the entailment arrow
What is a hypothetical?
In a second-order enthymeme, this specific component of the syllogism is omitted.
What is the minor premise?
A logical statement formatted as an "Either... or..." proposition
What is a disjunctive statement/proposition?
The Latin term for a mixed hypothetical syllogism that operates "in the negative" by denying the consequent
What is Modus Tollens?
True or False: "Ingressive" is recognized as a valid connective use of "or" in English logic statements
What is false?
A proposition that connects terms with "if and only if"
What is a biconditional proposition
Name the assumption in the following prompt: "Whatever does not kill you will make you stronger, and taking this exam surely will not kill you."
What is taking this exam will make you stronger?
The technical term for the "if" part of a hypothetical statement.
What is the antecedent?
Identify the syllogism type: "If it is raining, Henry plays inside; Henry is not playing inside; Therefore, it is not raining."
What is Modus Tollens?
The connective symbol & represents this type of logical statement.
What is a conjunction?
Unlike a standard conditional, a biconditional statement specifies this requirement for the consequent to take place.
What is the ONLY necessary condition?
What is testing for validity?
This syllogism written in symbolic notation:
If henry is a radicle then he will die a martyr.
Henry is a radicle.
Therefore, he will die a martyr.
What is:
A --> B
A
Therefore, B
Identify the syllogism type: "If it is Monday, then it is A day; If it is A day, then Jane has Bible; Therefore, if it is Monday, then Jane has Bible."
What is a *pure* hypothetical syllogism?
The validity status of the argument: "Either Manny wrote to Paula or Manny played in the rain; Manny played in the rain; Therefore Manny did not write to Paula."
What is invalid?
In the argument "If P then Q; P; Therefore Q", this specific part of the conditional proposition is affirmed
What is the antecedent?