A pure mathematical series would be one in which each term is derived from the preceding term by a rule.
Sentiment: NEGATIVE
Math is sometimes called the science of patterns.
Pure mathematics is on the whole distinctly more useful than applied. For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
All mathematics is is a language that is well tuned, finely honed, to describe patterns; be it patterns in a star, which has five points that are regularly arranged, be it patterns in numbers like 2, 4, 6, 8, 10 that follow very regular progression.
In the beginning of the year 1665, I found the method of approximating series and the rule for reducing any dignity of any binomial into such a series.
The numbers may be said to rule the whole world of quantity, and the four rules of arithmetic may be regarded as the complete equipment of the mathematician.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
Mathematics is a game played according to certain simple rules with meaningless marks on paper.
Pure mathematics is, in its way, the poetry of logical ideas.
The infinite in mathematics is alway unruly unless it is properly treated.
A discrete series is a series of terms each of which is empirically derived, each one of which is empirically true. And this is the reason for the fragmentary character of those poems.