Without a dog; lacking dogs; a state of being without canine companionship.
From 'dog' plus the suffix '-less,' which forms adjectives meaning 'without' or 'lacking' (as in 'homeless,' 'friendless,' 'fearless'). The '-less' suffix comes from Old English.
The suffix '-less' is endlessly productive—you can theoretically add it to almost any noun to express absence, which is why words like 'dogless' can sound both common and invented simultaneously.
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