The second act of the mind by which the mind judges or enunciates the agreement or disagreement of two ideas
Proposition
The product of judgment
Logical opposition
The different relations that exist between propositions having the same subject and predicate yet different in quality or quantity
A proposition is not a constituent of a proposition
Copula
Similar to a linking verb in a proposition
Universal proposition
A proposition whose subject is a term that applies distributively to each individual in a class or to the class itself
Sub-contrary relation
The relation that exists between two particular propositions which differ only in quality
Copula
The main function is to link the subject and predicate
Equivalenceofpropositions
The process of expressing the proposition in varied ways without changing its original meaning
Obversion
The immediate inference where a proposition is expressed in a negative equivalent form
Four kinds of equivalence
Obversion
Conversion
Contraposition
Inversion
Equivalence of propositions
The process of expressing the proposition in varied ways without changing its original meaning
Logical equivalence of propositions
They share the same truth value in all scenarios
Converse
No cheater is a student
Partial conversion
Some non-seminarians are pious. Therefore, some pious are non-seminarians
To get the partial inverse of E-proposition
1. Convert, obvert and convert again the original proposition
2. To obtain the full inverse, obvert the partial inverse
Obversion
A form of immediate inference which consists in substituting an affirmative proposition with its negative equivalent
Obversion changes the quality of a proposition
Full contraposition
It consists in obverting the outcome of partial contraposition
Full contraposition
Involves swapping the subject and predicate of the original proposition
Partial conversion
Also known as accidental conversion
Contraposit
The resultant inference in contraposition
Two kinds of contraposition
Partial
Complete
Symbols for the four types of logical opposition
A, E, I, O
Predicate
In the categorical proposition "No roses are blue", the predicate is "blue"
Predicate
Describes the nature of the subject
Quantity
Refers to the number of individuals to whom the subject applies
Judgment
The primary purpose is to initiate actions
Contradictory relation
The relation that exists between propositions A and O
Argument
Instances of reasoning concerning which it is claimed that some statement or statements provide evidence for the truth of some statement
"I believe that green is the best color" is an example of a non-argument
Sound argument
An argument that is valid with true premises
Before evaluating the validity of a categorical syllogism, the most important thing to understand is the general rules governing valid reasoning in logic
Categorical syllogism
A syllogism that states its proposition in categorical manner with quantifier, subject, copula and predicate
Minor premise
A statement that asserts something about a particular member of that class
Formal fallacies
Errors in logical structure that render arguments invalid
Denying the antecedent
The fallacy committed when both antecedent and consequent of a logical statement are negated
Affirming a disjunct
The fallacy committed when in a statement with a disjunct this is supposed to mean exclusive or instead of literal inclusive
Denyingaconjunct
The fallacy committed when a statement suggests assumption that if two conditions are exclusive then one of them must be true
According to the rules of categorical syllogism, each term must appear thrice