Ever-truthful (never lying or misleading; which is handy), in accents ranging freely from big bangs to whispers (which can be tricky), Nature counsels us in many ways and sometimes nicely: yet just one grammar, mathematics, governs all her languages. So begins a prologue to her lesson here: Nature in truth responding to FQXi's (2014) theme -- Trick or truth: the mysterious connection between physics and mathematics -- via that tricky Bell-v-Einstein context. First uniting classical and quantum experiments on bosons and fermions under just one language, Nature reveals neglected laws: laws that settle Bell-v-Einstein in Einstein's favour and quietly shape the realistic philosophy of most working scientists and their concept of spacetime. Seeking to keep pace with her we proceed as follows: 1-Truth, 2-Analysis, 3-Conclusions, 4-Appendix A (Language), 5-References, 6-Technical-endnotes. With Nature presenting maths as the best logic, and little more than undergraduate maths required, newcomers best begin with Appendix A -- especially the modelling in Table A1 -- questions, critical comments, error-corrections, etc., being very welcome here.
Gordon Watson