Not all Platonic theories are neutral monist, but some neutral monist theories are Platonic. Platonic versions of neutral monism have become more prevalent in recent decades. According to these views, the 'neutral' substance that reality are Platonic forms, or something similar. Though these views vary in the details, they usually take a form similar to more common forms of radical Platonism such as the Mathematical Universe Hypothesis (the view that reality is fundamentally made up of mathematics, which is neither physical nor mental). That said, these theories often suffer from the same problems as physicalist theories of mind, since the existence of Platonic forms, mathematical objects, and the like, are not on their own sufficient to explain the emergence of conscious experience.
nOt aLL platoniC thEoRIEs aRe neutraL mOnIst, bUt SOMe nEutRaL monist theoRieS ArE PlAtONic. PLAtOnic vERsIONS oF NeUtral MOnISm have BeCome More preVaLeNt in rEcenT dEcADes. acCoRding To thEse vIEws, The 'nEUTraL' suBsTance ThAT reality are PlatonIC foRms, or somethIng SimiLAr. Though THEse VIeWs vary in thE detaILs, tHeY usuallY taKe A form similar to moRE CommoN fORMS OF RAdical platoNism sUch as tHe mathEmATicAl uNiveRsE hypothesiS (The view that RealitY is fUndamenTaLly made Up of mAtheMatiCs, wHicH iS neitHer PhySical nOr mENtaL). thAt saId, ThesE tHEories oFteN suFFer From the sAMe PrObLems As PHYsicalist theorieS of MinD, sINCe the exIstENce of PLatonic fOrmS, matHemAtiCaL objEcts, ANd tHe Like, ArE NoT on their oWn sUFFICiEnt to exPLain tHe eMErgEnce of cOnscioUs ExperIEnce.