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English word shall comes from Proto-Indo-European *kelh₁-, Proto-Germanic - þiz
*kelh₁- (Proto-Indo-European)
- þiz (Proto-Germanic)
*sḱel- (Proto-Indo-European)
*skulaną (Proto-Germanic)
(auxiliary) shall, will, to be going to, must. (auxiliary) to be obliged to, have to. (transitive) to owe.
sculan (Old English)
(auxiliary) shall, to be going or about (to do something due to some sort of obligation not intention). (auxiliary) to be obliged, must, should. (transitive) to owe.
sċulan (Old English)
schulen (Middle English)
shall (English)
(modal auxiliary verb, defective) Used before a verb to indicate the simple future tense in the first person singular or plural.. (obsolete) To owe.. Used in questions with the first person singular or plural to suggest a possible future action.. Used similarly to indicate determination or obligation in the second and third persons singular or plural.