Golf balls having multi-layered cores with thermoset outer layer

A golf ball, comprising:

• a multi-layered core including i) an inner core comprising a metal material, the inner core having a diameter in the range of about 0.100 to about 1.100 inches, a specific gravity (SGinner), and an outer surface hardness (Hcenter suface) and a center hardness (Hcenter material), the Hcenter surface being the same or less than the Hcenter material to provide a zero or negative hardness gradient;
• ii) an intermediate core layer comprising a thermoset material, the intermediate layer being disposed about the inner core and having a thickness in the range of about 0.050 to about 0.400 inches, and an outer surface hardness (Houter surface of IC) and an inner surface hardness (Hinner surface of IC), the Houter surface of IC being greater than the Hinner surface of IC to provide a positive hardness gradient;
• and
• iii) an outer core layer comprising a thermoset material, the outer core layer being disposed about the inner core and having a thickness in the range of about 0.200 to about 0.750 inches, a specific gravity (SGouter), and an outer surface hardness ((Houter surface of OC) of 40 to 85 Shore C and an inner surface hardness (Hinner surface of OC) of 42 to 87 Shore C, the Houter surface of OC being the same or less than the Hinner surface of OC to provide a zero or negative hardness gradient, wherein the SGinner is greater than the SGouter, and the volume of the outer core layer is greater than the volume of each of the inner core and intermediate core layers;
• and
• a cover having at least one layer disposed about the multi-layered core.