implication
logical implication
conditional relation
contraposition
decidable
necessary condition
sufficient condition
consequent
affirming the consequent
importation
antecedent
converse
quadratic reciprocity
negation
contrary
truth value
law of excluded middle
Löb's theorem
Peirce's law
antilogism
completeness
possibly
disjunctive syllogism
conditional proof
mathematical induction
disjunct
argument from ignorance
sentential logic
zero-order logic
infallibilism
logic
posit
classical logic
modality
postulate
corollary
soundness
premise
material implication
material conditional
ignoratio elenchi
existential quantifier
existential operator
argumentum ad ignorantiam
modus ponendo ponens
imply
modus ponens
principle of explosion
contradiction in terms
contradiction
contrastivism
on paper
unconditional
categorical proposition
axiom
unlogical
argumentation
ex falso quod libet
proof
reductio ad absurdum
foreguess
illogical
syllogization
propositional calculus
equivalence
demonstration
inclusive or
Gougu rule
dilemma
mutual exclusiveness
proposition
prime ring
incompatibility
monstrance
repugnance
circular argument
exportation
Gougu theorem
inconsistency
false equivalence
contradictory
nominal
modus tollendo tollens
modus ponendo tollens
vicious circle
vacuous truth
many-valued logic
modus tollendo ponens
term
logicality
deductive
consistency
argumentum ad consequentiam
valuation function
conclusion
ratiocination
logically

English words for 'a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false'

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