Bring a large pot of salted water to a boil. Add potatoes and cook until tender but still firm, about 15 minutes; drain and chop.
Place eggs in a saucepan and cover with cold water. Bring water to a boil; cover, remove from heat, and let eggs stand in hot water for 10 to 12 minutes. Remove from hot water; peel and chop.
In a large bowl, combine the potatoes, eggs, celery, sweet relish, garlic, mustard, mayonnaise and salt and pepper. Gently mix together and serve warm.
