Symmetry principles now generate conservation laws — so the deepest regularities may be symmetries rather than rules

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Methodological naturalism is a working rule for science rather than a metaphysical conclusion — so why do critics call it a hidden atheism? Naturalism commits you to a picture of nature as a closed causal order — but what justifies treating that closure as a premise rather than a discovery? Hume asked whether any observation could ever reveal a necessary connection between cause and effect Where do mathematical objects live if nature is all there is? Naturalists split between Platonism and treating math as a human construction Special sciences like biology have no exceptionless laws — does that mean natural law is only a physics idea? Regularity theorists say a law just describes a pattern while necessitarians insist it governs what happens Statistical and thermodynamic laws apply to ensembles rather than to individual particles Laws of nature may not be the deepest level at all: some physicists treat them as emergent Noether's theorem connects every continuous symmetry to a conservation law Are physical laws real governing rules or just compact summaries of what we observe?