inconsistency
contradictory
mutual exclusiveness
incompatibility
contrary
repugnance
contradiction
analetheism
in the same breath
conflict
equivalence
disjunctive syllogism
antinomy
paradox
that dog won't hunt
suck and blow
either-or
pseudoargument
misexplanation
lucus a non lucendo
intercontradictory
subcontrary
noncontradiction
asymmetrical
consistency
incompatible
indecision
malreasoning
have it both ways
copredication
unconcludingness
unconjecturable
unfalsifiable
inequation
nonconvincing
Morton's fork
doublethink
contraspective
deception
protothetic
misrepresentation
deceit
paralogical
fissure
never the twain shall meet
liar paradox
non-argument
discongruity
nonduality
double-book
dichotomy
noncognitivism
negation
not even wrong
inconcludable
logical relation
misconception
gainsaying
counterpossible
binary
airy fairy
negative proof
contradictionlessness
contradictionary
bubble
disjunction
Girard's paradox
dogmatic
contradictio in terminis
nonsense
aporeme
weaker
alogism
insupposable
misexplication
anapodeictic
ignoratio elenchi
unaccountably
insubstantive
dogmatical
misformulated
dilemma
stronger
fallaciousness
no-go theorem
clincher
determining factor
weak tea
mutually exclusive
determiner
miscomprehend
but hey

English words for 'An incompatibility between two propositions that cannot both be true.'

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