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John Earman is University Professor (Adj. Philosophy) at University of Pittsburg. Before Pittsburgh, he taught at UCLA, The Rockefeller
University, and the University of Minnesota.
His research centers on the history, methodology, and foundations of modern physics.
He is the author of:
1. A Primer on Determinism
2. World Enough and Spacetime: Absolute vs. Relational Theories of Space and Time
3. Bayes or Bust: A Critical Examination of Bayesian Confirmation Theory
4. Bangs, Crunches, Hume's Abject Failure: The Argument Against Miracles , Whimpers and Shrieks: Singularities and Acausalities in Relativistic Spacetimes.
Journal Positions
John Earman is on the editorial boards of Philosophy of Science , Studies in the History and Philosophy of Modern Physics (associate editor), and Physics in Perspective .
The Hole Argument
The hole argument was invented for slightly different purposes by Albert Einstein late in 1913 as part of his quest for the general theory of relativity. It was revived and reformulated in the modern context by John3 = John Earman x John Stachel x John Norton.
With the GTR, the traditional debate between absolutism and relationalism has been shifted to the question as to whether or not spacetime is a substance, since the GTR largely rules out the existence of, e.g., absolute positions. "hole argument" offered by John Earman is a powerful argument against spacetime substantivalism.
This is a technical mathematical argument but can be paraphrased as follows:
Define a function d as the identity function over all elements over the manifold M, excepting a small neighbourhood (topology) H belonging to M. Over H d comes to differ from identity by a smooth function.
With use of this function d we can construct two mathematical models, where the second is generated by applying d to proper elements of the first, such that the two models are identical prior to the time t=0, where t is a time function created by a foliation of spacetime, but differ after t=0.
These considerations show that, since substantivalism allows the construction of holes, that the universe must, on that view, be indeterministic. Which, Earman argues, is a case against substantivalism, as the case between determinism or indeterminism should be a question of physics, not of our commitment to substantivalism.
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