Hypothetical Syllogism Flashcards
is one wherein the major premise is a hypothetical proposition, and the minor premise and conclusion are categorical propositions
A hypothetical syllogism
It is another valid argument form in logic.
hypothetical syllogism
Since it contains hypothetical propositions, the types follow the
same context:
Conditional Syllogism Disjunctive Syllogism
Conjunctive Syllogism
A syllogism whose major premise is a conditional proposition .
conditional syllogism
The major premise is composed of two parts: (conditional syllogism)
antecedent and consequent.
The antecedent states the condition while the consequent is the result which follows from the antecedent.
tf
true
types of conditional syllogism
pure
mixed
- these are hypothetical syllogisms that only have conditional statements from its premises to the conclusion. It adheres to this form:
If A is B.
If B is C.
So, if A, then C.
Pure
- these are hypothetical syllogisms that have a conditional statement as its first premise, while the other serves as an
affirmation/denial proposition of the conditional.
Mixed
rules of conditional syllogism
modus ponens
modus tollens
- affirm the antecedent first in the premise, then affirm the consequent in the conclusion
MODUS PONENS
- deny the consequent first in the premise, then deny the antecedent in the conclusion
MODUS TOLLENS
A syllogism whose major premise is a disjunctive proposition.
disjunctive syllogism
In logic, disjunction is a binary connective, with the use of disjunctive words of natural language like ‘or’.
disjunctive syllogism
rules of disjunctive syllogism
mpt
mtp
affirm one of the choices in the premise, then deny the other choice in the conclusion
MODUS PONENDO TOLLENS (MPT) -
deny one of the choices first in the premise, then affirm the other choice in the conclusion
MODUS TOLLENDO PONENS (MTP) -
A syllogism whose major premise is a conjunctive proposition.
conjunctive syllogism
In logic, the components are connected by truth-functional operator “and”.
conjunctive syllogism