Discontinuous Model of Scientific Progress
Several Philosophers of Science have supported arguments that the progress of science is discontinuous. In that case, progress is not a continuous accumulation, but rather a revolutionary process where brand new ideas are adopted and old ideas become abandoned. Thomas Kuhn was a major proponent of this model of scientific progress, as explained in his book The Structure of Scientific Revolutions.
This is especially supported by studying the incommensurability of theories. For example, consider Newtonian mechanics and relativistic mechanics. From a strict vantage point, in newtonian mechanics mass and energy are always conserved, where in relativistc mechanics energy and mass are always interchangeable. (Note the difference between the strict vantagepoint, and the layperson's vantagepoint that Newton's theory is applicable at low energies and low velocities relative to the velocity of light.) Because the theories are completely incompatible, scientists using one paradigm will not be able to discuss meaningfully with scientists from the other paradigm.
A discontinuous model of scientific progress may disagree with a realist's construction in the philosophy of science. This is because the intrinsic nature of the objects referred to may change wildly.
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