The quality or state of being so sad that nothing can comfort you.
Formed from disconsolate + -ness (Old English suffix forming abstract nouns from adjectives). The -ness suffix transforms the adjective describing a temporary feeling into a noun describing a persistent condition or quality.
Adding '-ness' to feelings creates nouns about permanent character traits, which is why 'disconsolateness' sounds more serious and lasting than just saying someone is 'disconsolate'—it suggests a deep part of who they are.
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