Philosophy of time and change
Course
In London
Description
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Type
Course
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Location
London
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Start date
Different dates available
Time is central to physics but does not itself appear to be an object that can be independently observed by empirical methods: all of our observations occur in time. Since antiquity it has been clear that this poses philosophical problems that must be resolved – or at least grappled with – if we are to understand the physical world at all.
This course tells the story of the interplay of philosophy, geometry and science from 1600 to the early twentieth century. Beginning with inheritances from the ancient world, we look at the triumph of analytic geometry and the path it opened for the calculus of Newton and Leibniz, a set of mathematical procedures that seems capable of grasping the essence of temporal change. In the process we see how time, despite occupying a central role in physics, was a contested subject whose reality and objectivity have always been in question.
We will then see how Einstein’s Special Theory of Relativity gave rise to new and startling questions, raising doubts about the very existence of a temporal “present”. This has led some later physicists, such as Carlo Rovelli, to declare that time does not exist at all.
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About this course
• Explain Zeno’s paradoxes and Aristotle’s solution to them
• Describe some aspects of synthetic and analytic geometry, including early attempts to find the areas of curved shapes.
• Describe the role of infinitesimals in early forms of calculus and the philosophical controversies they aroused.
• Perform calculus (differentiation and integration) using seventeenth-century methods.
• Explain the conflict between Galilean relativity and Newton’s notion of absolute time.
• Describe the role of spacetime in Einstein’s Special Relativity, and in particular the problem it poses for realism about the present.
• Outline sceptical arguments against the reality of time and take a position in that debate.
No equipment will be required besides pen and paper or other means for taking notes. Access to the internet is advantageous but not required.
Reviews
Subjects
- GCSE Physics
- Geometry
- Calculus
- Philosophy
Course programme
• Ancient Mediterranean theories about time and change
• The synthetic and analytic approaches to geometry
• The emergence of calculus and some simple methods of calculating with rates of change.
• The different roles played by time in Galilean, Newtonian and Einsteinian physics.
• Skepticism about the reality of time.
Additional information
Philosophy of time and change