History of N-Tuples & Vectors: Hamilton or Otherwise?

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The discussion centers on the historical association between n-tuples and vectors, questioning whether this connection originated with Hamilton's work. It highlights that Hamilton is credited with the term "set" for n-tuples, but there is uncertainty regarding his use of the term in relation to vectors. Participants seek clarity on whether n-tuples were defined as a result of vector definitions or if the reverse is true. The conversation emphasizes the need for accurate historical references to understand the development of these mathematical concepts. The inquiry remains open as participants look for definitive sources on the topic.
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Who was it that associated n-tuples with vectors (was it originally Hamilton's work)?...or were n-tuples defined as a result of the attempt to define vectors?
 
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Hamilton is given here: http://jeff560.tripod.com/s.html as having first assigned the term set to n-tuples but I can find no reference to its use for vectors.
 
Alright then. Thanks again for the assistance.
 

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