October 25, 2017 — Compared to making money by investing in the market, the economic changes discussed last week—in the upgrades of power over different forms of “fire,” from wood, to charcoal, to chemistry, electricity, nuclear, and fusion—occur as jumps. They create new fields of potential that did not exist before, and cannot be understood in terms of the past.
(TBA) Topics will include geometry (irreducibly global measures) and biology (examples of non-quantitative change).
Preparation for next week — before watching the assigned video for next week, write short (one sentence) definitions of “flat” and “straight.”
Reading for next class: Watch the video Riemann: The Habilitation Dissertation
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Among those great thinkers who did achieve a very comfortable life (such as Giuseppe Verdi or the painter Frederic Church), do you think it was a desire for income that drove them?
The number of real numbers is infinite, but a higher order infinite than the infinite number of whole numbers. The distinction is between the “countable infinite” and the continuum.
These are all the same type of infinite:
• counting numbers, fractions, points on graph paper (with whole number coordinates)
This infinite (the discrete / countable infinite) is smaller than the continuous infinite.
Does that address your question?