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    Symmetries in a theory allow for more possibilities than ... — Carmelics
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    Home/Modality & Possibility
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    Supports→Imposing the constraints (eliminating symmetries) involves serious modal assumptions.

    Symmetries in a theory allow for more possibilities than a theory without symmetries.

    CausationModality & Possibility
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    Eradicating symmetries by solving the constraints and going to the reduced physi...Imposing the constraints (eliminating symmetries) involves serious modal assumpt...The eliminated states are deemed physically equivalent despite having formal dif...

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    Eliminating symmetries changes the count of possibilities.81%Eradicating symmetries by solving the constraints and going to the red...78%Theories with gauge symmetries are constrained theories.77%A theory that is an extension of another theory has more ways of being...77%

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    One area that philosophers might profit from is in the investigation of the relational observables that appear to be necessitated by diffeomorphism invariance. For example, since symmetries (such as the gauge symmetries associated with the constraints) come with quite a lot of metaphysical baggage attached (as philosophers of physics know from the hole argument), such a move involves philosophically weighty assumptions. For example, the presence of symmetries in a theory would appear to allow

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