7sage conditional logic

if

sufficient

when

sufficient

where

sufficient

all

sufficient

every

sufficient

any

sufficient

only

necessary

only if

necessary

only when

necessary

only where

necessary

always

necessary

must

necessary

or

negate sufficient

unless

negate sufficient

until

negate sufficient

without

negate sufficient

no

negate necessary

none

negate necessary

not both

negate necessary

cannot

negate necessary

if and only if

sufficient and necessary

If but only if

sufficient and necessary

Then and only then

sufficient and necessary

Or... but not both

sufficient and necessary

If... then... but not otherwise

sufficient and necessary

Negate: All A are B

Some A are not B

Negate: If A then B

A can occur and B not occur

Negate: Some A are B

No A are B

Negate: Most A are B

Anywhere from none to exactly half of A are B.