Multi-layer core golf ball

1. A golf ball comprising:

an inner core layer formed from a highly neutralized polymer composition and having a diameter of from 0.250 inches to 1.580 inches;

an intermediate core layer formed from a thermoplastic composition selected from the group consisting of partially- and fully-neutralized ionomers optionally blended with a maleic anhydride-grafted non-ionomeric polymer, polyesters, polyethers, polyamides, and blends of two or more thereof, and having a thickness of from 0.005 inches to 0.100 inches and a surface hardness of 85 Shore C or greater;

an outer core layer formed from a thermoset rubber composition and having a thickness of from 0.010 inches to 0.150 inches and a surface hardness of 50 Shore C or greater; and

a cover having an overall thickness of from 0.010 inches to 0.200 inches.

2. The golf ball of claim 1 , wherein the intermediate core layer has a surface hardness of 90 Shore C or greater.

3. The golf ball of claim 1 , wherein the intermediate core layer has a surface hardness of 93 Shore C or greater.

4. The golf ball of claim 1 , wherein the inner core layer has a surface hardness of from 50 Shore C to 85 Shore C and a zero hardness gradient.

5. The golf ball of claim 1 , wherein the cover comprises an outer core layer having a surface hardness of from 50 Shore C to 80 Shore C.

6. The golf ball of claim 1 , wherein the inner core layer has a diameter of from 0.500 inches to 1.580 inches.

7. The golf ball of claim 1 , wherein the overall thickness of the cover is from 0.030 inches to 0.080 inches.