simple propositions

propositional logic

is a branch of mathematical logic that studies the truth and falsity of propositions

simple proposition

a declarative sentence subject for affirmation or denial which do not contain a connective

affirmation/negative

each of the propositional statement has a quality

universal/particular

each of the propositional statement has a quantity

affirmative proposition

whales are mammals

negative proposition

tomato is not a fruit

universal

subject term is taken only in particular extension

universal

all quadrilaterals are polygons

universal

no parallel lines meet at a point

universal

every integer is a real number

particular

subject term is taken only in particular extension

particular

some algebraic expressions are polynomials

particular

not all algebraic expressions are polynomials

singular

subject term denotes a single person or thing

singular

a prime number has only two factors

universal affirmative

all x are y

particular affirmative

some x are y

universal negative

all x are not y

particular negative

some x are not y

universal affirmative

A

particular affirmative

I

particular negative

O

universal negative

E

a - universal affirmative

every forest is a den to snakes

i - particular affirmative

some crocodiles are found in the city

o - particular negative

not all lamb is tame

e - universal negative

children are never as free as a bird

all squares are similar

A of all squares are similar

all squares are not similar

E of all squares are similar

some squares are similar

I of all squares are similar

Some squares are not similar

O of
all squares are similar

all politicians are trustworthy persons

A of
all politicians are trustworthy persons

all politicians are not trustworthy persons

E of
all politicians are trustworthy persons

some politicians are trustworthy persons

I of
all politicians are trustworthy persons

some politicians are not trustworthy persons

O of
all politicians are trustworthy persons

all philippine presidents are natural-born filipinos

A of
all philippine presidents are natural-born filipinos

all philippine presidents are not natural-born filipinos

E of
all philippine presidents are natural-born filipinos

some philippine presidents are natural-born filipinos

I of
all philippine presidents are natural-born filipinos

some philippine presidents are not natural-born filipinos

O of
all philippine presidents are natural-born filipinos