The First Step in Solving the Riemann Hypothesis
I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general.
— Gottfried Wilhelm Leibniz (1646-1716)
Catch me if You Can
The First Step in Solving the Riemann Hypothesis
I maintain also that substances, whether material or immaterial, cannot be conceived in their bare essence without any activity, activity being of the essence of substance in general.
— Gottfried Wilhelm Leibniz (1646-1716)
The titled responsion positions the younger generation in front of an obstacle of their own choosing. What happens next is predictable yet unimaginable. Or is it? You see, we can imagine infinity, and we can imagine solving the Riemann Hypothesis. What isn't clear are the steps we need to take to uncover the knowledge within.
Experience-based activity is implied, but another dimension of activity is worth mentioning, and it's counterpointed with time and entropy. The constituents of our universe are active ingredients in the chaotic swirls that call to us in our fictive imaginings, begging the question, what is the metaphor?
The imaginary book "Gottfried Wilhelm Leibniz," written by John Milton, has been called one of the best introductions to the life and times of one of the greatest and most influential thinkers in all human history. Several scholars have called this book a "must-read" for everyone interested in learning more about the life of this remarkable individual.
As a young man, Gottfried was not interested in the more intellectual subjects that most students today would choose to take up. Instead, he chose to study natural philosophy. During this time, he became highly interested in things such as nature, astronomy, and even mathematics. While this may seem like a strange interest for a student at the beginning of his educational career, it is pretty impressive how interested he became. When it came to studying the history of mankind, he did not hold much interest in history. He would read about ancient civilizations only to be amazed by the discoveries of science and technology in modern times.
To help him better understand this period of history, in addition to learning some of his favorite authors, such as Isaac Newton, Thomas Jefferson, and George Carlin, he took an entrance exam that required him to read at least 100 pages of text on a particular topic. This exam, however, did not have any testing questions about the life and works of Gottfried Wilhelm Leibniz. Although many people were interested in knowing more about this great thinker, they had no idea where to find a book that would be able to provide them with information about him. Fortunately, Milton was able to create such a book.
The First Step
To be fond of dancing was a certain step towards falling in love.
— Jane Austen (1775-1817)
The titled responsion is the tipping point for the fall of man, a domesticating function that civilized our pair-bonded relationships into something beautiful.
In Jane Austen's novel Pride and Prejudice, The Role of Dancing, written in the early Regency period, plays many important roles. Dance patterns mirror courtship patterns, marking dancing as a microcosm of marriage and courtship - two major story themes. The first theme is courtship; the pursuit of true love, and the courting process. The second theme is marriage or tying the knot with one's partner.
Several dances are included in Pride and Prejudice, which mirror the early stages of courtship in England — such as the Tumble Dance, the March, and the Twirl. As the relationship progresses, the relationship becomes more formal, and courtship becomes less of a quest for love. This, as well as the inclusion of courtship dances such as the Midsummer and the March, furthers the idea that pursuing true love is not always for a passionate and committed person.
As the relationship advances into marriage, the courtly and romantic aspects of courting are taken to a new level by including ballroom dancing in Jane Austen's novels. These dances are an essential part of dancing patterns throughout the story, as both the courtship and the wedding parties of Jane Austen often take place in and around the evening. The role of dancing in these dances, as an extension of the romance that is occurring around the dance, is therefore crucial in this regard - as are the roles played by other forms of dancing in the story - such as tap, jazz, tap, pop, and hip hop.
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Daniel Sanderson