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In (Wallace 2006) unitarily inequivalent representations are not considered a foundational problem for QFT, while in (Ruetsche 2003) and (Kronz and Lupher 2005) unitarily inequivalent representations are considered physically significant.
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These are fail-safe points in discussions of artistic freedom, and they sidestep a foundational problem: the decision to make art without regard for the lives involved, and no matter the consequences.
A foundational problem in kernel-based learning is how to design suitable kernels.
Rather, the point is that the MacCAT-T appears to be profoundly off the mark; that there is a foundational problem with the theory.
So although contemporary mainstream biology is an overtly materialist field, it has come to employ concepts that philosophers will recognize as intentional or semantic ones, concepts with a long history of causing foundational problems for materialists (and, to some extent, for everyone else).
Cases of this nature have of course been familiar for some time, but perhaps it has been less on the radar that the uniqueness proposal creates foundational problems for language acquisition theory.
The fourth foundational problem, the decision problem for predicate logic, was shown to have a negative solution in a short paper by Church in 1936 as a corollary to Gödel's incompleteness theorem.
The second foundational problem was the lack of three critical planning tools: a realistic Theory of Change, an overarching Logic Framework and a tightly-integrated implementation plan.
Does it not set the stage for magnanimous NRA posturing that will distract and deflect from the foundational problem of accessibility?
Who fights for them?" Palin concluded that "President Obama's rewarding of lawlessness, including his own, is the foundational problem here".
For Hilbert, the aims were a complete clarification of the foundational problems through finitary proofs of consistency, etc, aims in which proof theory failed.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com