Multiple Statements (Logic Conjunctions)

... kai ...	:	both ... and ...
non ... nai ...	:	neither ... nor ...
... au ...	:	either ... or ...
... kau ...	:	either ... or ... or both, ... and/or ...
non ... nau ...	:	either not ... or not ... or neither
... alokai ...	:	... but ... (logically equivalent to "kai")
... alokau ...	:	... but/or ... (rare, logically equivalent to "kau")

These conjunctions are used when we want to make multiple statements about the same thing. Here are some examples to illustrate their use. "A" is for akrosa 'sharp' and "B" is for brakosa 'short'. Boxes marked with "O" are situations when the sentence is correct.

Logic Notation				Sentence
(¬A)∧(¬B)	(¬A)∧(B)	(A)∧(¬B)	(A)∧(B)	Sentence
X	X	X	O	La hopl'ai akrosa kai brakosa. The weapon is both sharp and short.
X	X	O	X	La hopl'ai akrosa, alokai non brakosa. The weapon is sharp, but not short.
X	O	X	X	La hopl'ai brakosa, alokai non akrosa. The weapon is short, but not sharp.
O	X	X	X	La hopl'ai non akrosa nai brakosa. The weapon is neither sharp nor short.
...
X	O	O	X	La hopl'ai akrosa au brakosa. The weapon is either sharp or short.
O	X	X	O	La hopl'ai non akrosa au brakosa. The weapon is either not-sharp or short.
...
X	X	O	O	La hopl'ai akrosa. The weapon is sharp.
X	O	X	O	La hopl'ai brakosa. The weapon is short.
X	O	O	O	La hopl'ai akrosa kau brakosa. The weapon is either sharp, or short, or both.
...
O	O	X	X	La hopl'ai non akrosa. The weapon is not sharp.
O	X	O	X	La hopl'ai non brakosa. The weapon is not short.
O	O	O	X	La hopl'ai non akrosa nau brakosa. The weapon is either not sharp, not short, or neither.
...
O	X	O	O	La hopl'ai akrosa, alokau non brakosa. The weapon is either sharp & short, sharp but not short, or neither sharp nor short.
O	O	X	O	La hopl'ai brakosa, alokau non akrosa. The weapon is either short & sharp, short but not sharp, or neither short nor sharp.

Intense Negation (nai)

Intense negation is used when we want to explicitly deny multiple elements within one sentence. We use non to negate the primary statement and we use nai for all other connected arguments.

Me'ai 1SG-∈	non ɴᴇɢ	fagose eat-ᴄᴏɴs	nai ɴᴇɢ2	taura. cattle
'I did not eat any beef at all.' (In fact, I didn't do anything to any cattle)

Me'ai 1SG-∈	non ɴᴇɢ	leksose read-ᴄᴏɴs	nai ɴᴇɢ2	biblia book	nai ɴᴇɢ2	ende inside	meo 1SG-ɢᴇɴ	oeka. house
'I did not read any book in my house.' (In fact, there was no book, and I wasn't even at home)