diff --git a/src/generic.jl b/src/generic.jl
index e6caf59b..c92776e3 100644
--- a/src/generic.jl
+++ b/src/generic.jl
@@ -996,7 +996,8 @@ function dot(x, y) # arbitrary iterables
     return s
 end
 
-dot(x::Number, y::Number) = conj(x) * y
+# the unary + is for type promotion in the Boolean case, mimicking the reduction in usual dot
+dot(x::Number, y::Number) = +(conj(x) * y)
 
 function dot(x::AbstractArray, y::AbstractArray)
     lx = length(x)
diff --git a/test/generic.jl b/test/generic.jl
index 36ae4dff..a56c1006 100644
--- a/test/generic.jl
+++ b/test/generic.jl
@@ -755,12 +755,16 @@ end
 end
 
 @testset "generalized dot #32739" begin
-    for elty in (Int, Float32, Float64, BigFloat, ComplexF32, ComplexF64, Complex{BigFloat})
+    for elty in (Bool, Int, Float32, Float64, BigFloat, ComplexF32, ComplexF64, Complex{BigFloat})
         n = 10
         if elty <: Int
             A = rand(-n:n, n, n)
             x = rand(-n:n, n)
             y = rand(-n:n, n)
+        elseif elty <: Bool
+            A = rand(elty, n, n)
+            x = rand(elty, n)
+            y = rand(elty, n)
         elseif elty <: Real
             A = convert(Matrix{elty}, randn(n,n))
             x = rand(elty, n)
@@ -770,7 +774,7 @@ end
             x = rand(elty, n)
             y = rand(elty, n)
         end
-        @test dot(x, A, y) ≈ dot(A'x, y) ≈ *(x', A, y) ≈ (x'A)*y
+        @test (@inferred dot(x, A, y)) ≈ dot(A'x, y) ≈ *(x', A, y) ≈ (x'A)*y
         @test dot(x, A', y) ≈ dot(A*x, y) ≈ *(x', A', y) ≈ (x'A')*y
         elty <: Real && @test dot(x, transpose(A), y) ≈ dot(x, transpose(A)*y) ≈ *(x', transpose(A), y) ≈ (x'*transpose(A))*y
         B = reshape([A], 1, 1)