The Determinacy Problem in Quantum Mechanics

Of the many ways of getting at the core of the weirdnesses in quantum mechanics, there's one which traces back to Schrödinger's seminal 1935 paper, and has to do with the apparent <i>fuzzy</i> nature of the reality described by the formalism through the wavefunction <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>ψ</mml:mi></mml:math> . This issue, which I will be calling the <i>Determinacy Problem</i>, is distinct from the standard measurement problem of quantum mechanics, despite Schrödinger himself ends up conflating the two. I will argue that the <i>Determinacy Problem</i> is an exquisitely philosophical problem, for as it is standard when facing any phenomenon which appears to have indeterminate or fuzzy characteristics, the solutions available are to either blame the deficiencies of our language, or our lack of knowledge, or to blame the world itself. These three attitudes can already be found in the literature on quantum mechanics, either explicitly or implicitly, and they appear to motivate three very distinct research programs: <i>high-dimensional realism</i>, <i>primitive ontology</i>, and <i>quantum indeterminacy</i>.