diff --git a/NEWS.md b/NEWS.md
index 06aacf69..62c01795 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -8,6 +8,8 @@
 
 * `parameters()` and the `grid_*()` functions give more information in the error message when non-parameter objects are passed in (#437).
 
+* `value_validate()`, `encode_unit()`, `get_p()`, `get_log_p()`, `get_n()`, `get_n_frac()`, `get_n_frac_range()`, and `get_batch_sizes()` now enforce empty dots (#439).
+
 
 # dials 1.4.2
 
diff --git a/R/aaa_values.R b/R/aaa_values.R
index b28811a6..bf7c2480 100644
--- a/R/aaa_values.R
+++ b/R/aaa_values.R
@@ -74,6 +74,7 @@
 #' @export
 value_validate <- function(object, values, ..., call = caller_env()) {
   check_inherits(object, "param")
+  check_dots_empty()
   res <- switch(
     object$type,
     double = ,
diff --git a/R/encode_unit.R b/R/encode_unit.R
index 07e95361..d4533fb2 100644
--- a/R/encode_unit.R
+++ b/R/encode_unit.R
@@ -70,6 +70,7 @@ encode_unit.quant_param <- function(x, value, direction, original = TRUE, ...) {
 #' @rdname encode_unit
 #' @export
 encode_unit.qual_param <- function(x, value, direction, ...) {
+  check_dots_empty()
   if (has_unknowns(x)) {
     cli::cli_abort("The parameter object contains unknowns.")
   }
diff --git a/R/finalize.R b/R/finalize.R
index 4a440412..383c4146 100644
--- a/R/finalize.R
+++ b/R/finalize.R
@@ -156,6 +156,7 @@ finalize.default <- function(object, x, force = TRUE, ...) {
 get_p <- function(object, x, log_vals = FALSE, ...) {
   check_inherits(object, "param")
   check_bool(log_vals)
+  check_dots_empty()
 
   rngs <- range_get(object, original = FALSE)
   if (!is_unknown(rngs$upper)) {
@@ -186,7 +187,8 @@ get_p <- function(object, x, log_vals = FALSE, ...) {
 #' @rdname finalize
 get_log_p <- function(object, x, ...) {
   check_inherits(object, "param")
-  get_p(object, x, log_vals = TRUE, ...)
+  check_dots_empty()
+  get_p(object, x, log_vals = TRUE)
 }
 
 #' @export
@@ -195,6 +197,7 @@ get_n_frac <- function(object, x, log_vals = FALSE, frac = 1 / 3, ...) {
   check_inherits(object, "param")
   check_bool(log_vals)
   check_number_decimal(frac, min = 0, max = 1)
+  check_dots_empty()
 
   rngs <- range_get(object, original = FALSE)
   if (!is_unknown(rngs$upper)) {
@@ -233,6 +236,7 @@ get_n_frac_range <- function(
   check_inherits(object, "param")
   check_bool(log_vals)
   check_frac_range(frac)
+  check_dots_empty()
 
   rngs <- range_get(object, original = FALSE)
   if (!is_unknown(rngs$upper)) {
@@ -265,7 +269,8 @@ get_n_frac_range <- function(
 #' @rdname finalize
 get_n <- function(object, x, log_vals = FALSE, ...) {
   check_inherits(object, "param")
-  get_n_frac(object, x, log_vals, frac = 1, ...)
+  check_dots_empty()
+  get_n_frac(object, x, log_vals, frac = 1)
 }
 
 #' @export
@@ -294,6 +299,7 @@ get_rbf_range <- function(object, x, seed = sample.int(10^5, 1), ...) {
 #' @export
 get_batch_sizes <- function(object, x, frac = c(1 / 10, 1 / 3), ...) {
   lifecycle::deprecate_warn("1.4.2", "get_batch_sizes()")
+  check_dots_empty()
 
   rngs <- range_get(object, original = FALSE)
   if (!is_unknown(rngs$lower) & !is_unknown(rngs$upper)) {
diff --git a/R/space_filling.R b/R/space_filling.R
index e5f4a655..6f529912 100644
--- a/R/space_filling.R
+++ b/R/space_filling.R
@@ -475,9 +475,13 @@ make_max_entropy_grid <- function(
   sf_grid <- map2(
     params,
     sf_grid,
-    encode_unit,
-    direction = "backward",
-    original = original
+    \(param, grid) {
+      if (inherits(param, "quant_param")) {
+        encode_unit(param, grid, direction = "backward", original = original)
+      } else {
+        encode_unit(param, grid, direction = "backward")
+      }
+    }
   )
   names(sf_grid) <- param_names
   as_tibble(sf_grid)
@@ -566,9 +570,13 @@ make_latin_hypercube_grid <- function(
   sf_grid <- map2(
     params,
     sf_grid,
-    encode_unit,
-    direction = "backward",
-    original = original
+    \(param, grid) {
+      if (inherits(param, "quant_param")) {
+        encode_unit(param, grid, direction = "backward", original = original)
+      } else {
+        encode_unit(param, grid, direction = "backward")
+      }
+    }
   )
   names(sf_grid) <- param_names
   as_tibble(sf_grid)