Mathematical Logic
Project description
Dialectic
Mathematical logic implementation using python.
Install
pip install dialectic
Usage
from dialectic import Atomic
# Atomic objects
a = Atomic('a')
b = Atomic('b')
# Invert
invert = ~a
# Conjunction
conjunction = (a & b)
# Disjunction
disjunction = (a | b)
# Implication
implication = (a > b)
# Equality (iff)
equality = (a == b)
# Validation with given sentence set
implication.validate({a, b})
# Parsing a sentence list
from dialectic import parse_sentences
parsed_set = parse_sentences([implication, a])
# Inference
from dialectic import Inference
is_valid = Inference((a > b), [b]).is_valid_argument()
is_tautology = Inference((a | ~a)).is_tautology()
is_contradictory = Inference((a & ~a)).is_contradictory()
is_contingent = Inference((a & b)).is_contingent()
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