Exponential quotes

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Robert_N_Britcher

Size Exponential

“Of course, the effect of increasing software size is not linear, it is exponential.”
  • Source: Britcher, Robert N. (1999). The Limits of Software: People, Projects, and Perspectives. Reading, MA: Addison Wesley. ISBN 0-201-43323-0. Page 117.

Ray_Kurzweil

Improving Technology

“...nearly every aspect of life is getting progressively better as a result of exponentially improving technology.”
  • Source: Ray Kurzweil in his book “The Singularity is Nearer: When We Merge with AI”, published in 2024 by Random House. ISBN 978-0593152348.

Thomas_Robert_Malthus

Population and Subsistence

“I think I may fairly make two postulata. First, That food is necessary to the existence of man. Secondly, That the passion between the sexes is necessary, and will remain nearly in its present state... Assuming then my postulata as granted, I say, that the power of population is indefinitely greater than the power in the earth to produce subsistence for man. Population, when unchecked, increases in a geometrical ratio. Subsistence increases only in an arithmetical ratio... This implies a strong and constantly operating check on population from the difficulty of subsistence. This difficulty must fall somewhere; and must necessarily be severely felt by a large portion of mankind... The germs of existence contained in this spot of earth, with ample food, and ample room to expand in, would fill millions of worlds in the course of a few thousand years... Consequently, if the premises are just, the argument is conclusive against the perfectibility of the mass of mankind.”
  • Source: Thomas Robert Malthus. The essay: “An Essay on the Principle of Population as It Affects the Future Improvement of Society, with Remarks on the Speculations of Mr. Goodwin, M. Condorcet and Other Writers”. Originally published: 1798. Edition: First. Publisher: J. Johnson. Location: London, England. Chapter: 1. Retrieved From: <https://en.wikisource.org/wiki/An_Essay_on_the_Principle_of_Population>. Retrieval Date: 2024-04-03.
  • Notes: The dire predictions of Malthus have not yet been fulfilled. This is primarily due to errors in his initial assumptions (which are properly identified), not in errors in his logic. The first assumption (or postulatum) is that food production increases arithmetically (linearly). But historically, food production has increased geometrically (exponentially) due to advances in mechanical technologies and biotechnologies. The second assumption assumes passion and birth rates are directly correlated. However, technological advances in birth control, cultural advances in women's rights, and rising prosperity (which lowers birth rates) have falsified this assumption. Additional questionable assumptions are also made which are not initially specified.

Steven_Pinker

Science

“In a large society with writing and institutionalized science, the cost of an exponential number of tests is repaid by the benefit of the resulting laws to a large number of people. That is why taxpayers are willing to fund scientific research. But for the provincial interests of a single individual or even a small band, good science isn’t worth the trouble.”
  • Source: Steven Pinker (1997). How the Mind Works. New York, NY: W. W. Norton. ISBN 978-0-393-06973-0; eISBN 978-0-393-06973-0. Chapter 5 Section: Ecological Intelligence.