Study Notes on Power, Newton, and Science Culture

Power: Influences in History

  • Definition of Power: Various forms and how they have influenced human history.

  • Types of Power:

    • Natural Forces: Gravity, various physical forces.

    • Fuel and Energy: Electricity, coal, steam power, nuclear.

    • Biopower: Utilization of living systems and human labor.

    • Social and Political Power: The role of science in state service, military applications.

    • Intelligence: The role of computing power and brain power.

Historical Context of Power Influences

  • Scientific and Technological Developments: Their role in creating military and industrial power.

  • Overview of the Discussion: Focus on England and France during the 17th and 18th centuries, exploring the interplay between scientific theories and societal structures.

Key Figures in Scientific Development

Sir Isaac Newton

  • Historical Figure: Sir Isaac Newton, a prominent English mathematician, physicist, astronomer (1642-1726).

  • Major Work: "Principia Mathematica" published in 1687.

Newtonian Mechanics (Classical Mechanics)

  • Description: A set of laws and formulas that describe the motion of objects, including projectiles and celestial bodies.

  • Newton’s Laws of Motion:

    1. Law of Inertia: An object at rest stays at rest, and an object in motion continues in motion unless acted upon by a force.

    2. Second Law: The acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass: F = ma.

    3. Third Law: For every action, there is an equal and opposite reaction.

  • Newton’s Law of Universal Gravitation: Every mass attracts every other mass in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the distance squared: F = G rac{m1m2}{r^2}.

Philosophical and Mathematical Foundations

Lemma XI Excerpt

  • Evanescent Subtense: Discusses complex geometrical concepts using calculus principles, focusing on the relationships between angles and lengths in curves.

    • Cases Presented: Analysis of geometrical relationships and proofs regarding proportions and limits.

Cultural and Scientific Movements

Emergence of Newtonianism (Late 17th - 18th Century)

  • Adaptation and Popularization: Newtonian principles were widely disseminated in England and France, eventually adapting for various applications.

  • Cultural Impact:

    • Led to new forms of empiricism and popular science.

    • Emergence of science as a source of profit and political influence.

Historical Context for the Newtonians

  • English Civil War (1642-1651): Contextualize the political upheaval, including Charles I's execution and the rise and fall of the Commonwealth.

  • Restoration and Revolution: Events leading to the Glorious Revolution of 1688 and the establishment of William III as monarch.

  • Queen Anne and the Hanoverian Succession: Transition of power into the Hanoverian dynasty.

Public Culture of Science in the 18th Century

  • Role of Salons and Coffeehouses:

    • Experimentation and public lectures became commonplace in these venues, contributing to the spread of scientific knowledge.

    • Notably referred to as “penny universities” in England due to the accessible nature of discussions and ideas.

Influential Thinkers of the Era

Voltaire (Francois-Marie Arouet)

  • Contributions: Authored "Letters Concerning the English Nation" and collaborated with Émilie du Châtelet on translating Newton’s work into French.

  • Focus Areas: Discussed the implications of Newton's work on philosophy and natural science.

Émilie Du Châtelet

  • Achievements: Authored "Lessons in Physics" and translated Newton's "Principia" into French, making it accessible to a broader audience.

Francesco Algarotti

  • Work: Authored "Newtonianism for Ladies" (1737), aimed at popularizing Newton's ideas for a general audience.

Impact of Literature on Public Understanding of Science

  • Devolution of Newton's Ideas: The relationship between Newton and his followers shaped public understanding and utilization of scientific principles.

  • Thomas Paine’s Writings:

    • Example: In "Common Sense" (1776), he highlighted the political relationships using natural analogies, stressing that no satellite is larger than its primary planet, a metaphor for England and America’s relationship.

Reflection on Newton's Legacy

  • Was Newton a Newtonian?: Discussion points on whether Newton would be recognized as a major scientific figure without the influence of the Newtonians and how Newtonian physics contributed to power dynamics in society.