diff --git a/util/set/set.go b/util/set/set.go
index df4b1fa3a..c3d2350a7 100644
--- a/util/set/set.go
+++ b/util/set/set.go
@@ -7,6 +7,8 @@
 import (
 	"encoding/json"
 	"maps"
+	"reflect"
+	"sort"
 )
 
 // Set is a set of T.
@@ -53,16 +55,53 @@ func (s *Set[T]) Make() {
 	}
 }
 
-// Slice returns the elements of the set as a slice. The elements will not be
-// in any particular order.
+// Slice returns the elements of the set as a slice. If the element type is
+// ordered (integers, floats, or strings), the elements are returned in sorted
+// order. Otherwise, the order is not defined.
 func (s Set[T]) Slice() []T {
 	es := make([]T, 0, s.Len())
 	for k := range s {
 		es = append(es, k)
 	}
+	if f := genOrderedSwapper(reflect.TypeFor[T]()); f != nil {
+		sort.Slice(es, f(reflect.ValueOf(es)))
+	}
 	return es
 }
 
+// genOrderedSwapper returns a generator for a swap function that can be used to
+// sort a slice of the given type. If rt is not an ordered type,
+// genOrderedSwapper returns nil.
+func genOrderedSwapper(rt reflect.Type) func(reflect.Value) func(i, j int) bool {
+	switch rt.Kind() {
+	case reflect.Uint, reflect.Uint8, reflect.Uint16, reflect.Uint32, reflect.Uint64, reflect.Uintptr:
+		return func(rv reflect.Value) func(i, j int) bool {
+			return func(i, j int) bool {
+				return rv.Index(i).Uint() < rv.Index(j).Uint()
+			}
+		}
+	case reflect.Int, reflect.Int8, reflect.Int16, reflect.Int32, reflect.Int64:
+		return func(rv reflect.Value) func(i, j int) bool {
+			return func(i, j int) bool {
+				return rv.Index(i).Int() < rv.Index(j).Int()
+			}
+		}
+	case reflect.Float32, reflect.Float64:
+		return func(rv reflect.Value) func(i, j int) bool {
+			return func(i, j int) bool {
+				return rv.Index(i).Float() < rv.Index(j).Float()
+			}
+		}
+	case reflect.String:
+		return func(rv reflect.Value) func(i, j int) bool {
+			return func(i, j int) bool {
+				return rv.Index(i).String() < rv.Index(j).String()
+			}
+		}
+	}
+	return nil
+}
+
 // Delete removes e from the set.
 func (s Set[T]) Delete(e T) { delete(s, e) }
 
diff --git a/util/set/set_test.go b/util/set/set_test.go
index 4afaeea57..2188cbb4d 100644
--- a/util/set/set_test.go
+++ b/util/set/set_test.go
@@ -159,6 +159,39 @@ func TestSetJSONRoundTrip(t *testing.T) {
 	}
 }
 
+func checkSliceSorted[T comparable](t *testing.T, s Set[T], want []T) {
+	t.Helper()
+	got := s.Slice()
+	if !slices.Equal(got, want) {
+		t.Errorf("got %v; want %v", got, want)
+	}
+}
+
+func TestSliceSorted(t *testing.T) {
+	t.Run("int", func(t *testing.T) {
+		checkSliceSorted(t, Of(3, 1, 4, 1, 5), []int{1, 3, 4, 5})
+	})
+	t.Run("int8", func(t *testing.T) {
+		checkSliceSorted(t, Of[int8](-1, 3, -100, 50), []int8{-100, -1, 3, 50})
+	})
+	t.Run("uint16", func(t *testing.T) {
+		checkSliceSorted(t, Of[uint16](300, 1, 65535, 0), []uint16{0, 1, 300, 65535})
+	})
+	t.Run("float64", func(t *testing.T) {
+		checkSliceSorted(t, Of(2.7, 1.0, 3.14), []float64{1.0, 2.7, 3.14})
+	})
+	t.Run("float32", func(t *testing.T) {
+		checkSliceSorted(t, Of[float32](2.5, 1.0, 3.0), []float32{1.0, 2.5, 3.0})
+	})
+	t.Run("string", func(t *testing.T) {
+		checkSliceSorted(t, Of("banana", "apple", "cherry"), []string{"apple", "banana", "cherry"})
+	})
+	t.Run("named-uint", func(t *testing.T) {
+		type Port uint16
+		checkSliceSorted(t, Of[Port](443, 80, 8080), []Port{80, 443, 8080})
+	})
+}
+
 func TestMake(t *testing.T) {
 	var s Set[int]
 	s.Make()