diff --git a/R/setupStoppingConditions.R b/R/setupStoppingConditions.R
index c10f437..6f52dea 100644
--- a/R/setupStoppingConditions.R
+++ b/R/setupStoppingConditions.R
@@ -16,8 +16,8 @@
 # The stopping condition generators should have attributes 'checkFunction' and
 # default value (see ecr operators). This way setupStoppingCondition could
 # iterate over all available stopping conditions.
-setupStoppingConditions = function(max.iter = Inf, max.time = Inf) {
-    if (is.infinite(max.iter) && is.infinite(max.time)) {
+setupStoppingConditions = function(max.iter = NULL, max.time = NULL) {
+    if (is.null(max.iter) && is.null(max.time)) {
         stopf("At least max.iter or max.time must be finite.")
     }
     list(
diff --git a/R/stoppingCondition.max.iter.R b/R/stoppingCondition.max.iter.R
index 208d071..1d80946 100644
--- a/R/stoppingCondition.max.iter.R
+++ b/R/stoppingCondition.max.iter.R
@@ -4,8 +4,12 @@
 #'   Maximal number of iterations. Default ist \code{Inf}.
 #' @return [\code{function}]
 #' @export
-makeMaximumIterationsStoppingCondition = function(max.iter = Inf) {
-    assertCount(max.iter, positive = TRUE, na.ok = FALSE)
+makeMaximumIterationsStoppingCondition = function(max.iter = NULL) {
+    if (!is.null(max.iter)) {
+        assertInt(max.iter, lower = 1L, na.ok = FALSE)
+    } else {
+        max.iter = Inf
+    }
     force(max.iter)
 
     condition.fun = function(envir = parent.frame()) {
diff --git a/R/stoppingCondition.max.time.R b/R/stoppingCondition.max.time.R
index 5c19100..8525364 100644
--- a/R/stoppingCondition.max.time.R
+++ b/R/stoppingCondition.max.time.R
@@ -4,8 +4,12 @@
 #'   Time budget in seconds. Default ist \code{Inf}.
 #' @return [\code{function}]
 #' @export
-makeMaximumTimeStoppingCondition = function(max.time = Inf) {
-    assertCount(max.time, positive = TRUE, na.ok = FALSE)
+makeMaximumTimeStoppingCondition = function(max.time = NULL) {
+    if (!is.null(max.time)) {
+        assertInt(max.time, lower = 1L, na.ok = FALSE)
+    } else {
+        max.time = Inf
+    }
     force(max.time)
 
     condition.fun = function(envir = parent.frame()) {
diff --git a/man/makeMaximumIterationsStoppingCondition.Rd b/man/makeMaximumIterationsStoppingCondition.Rd
index bfb3231..66635fc 100644
--- a/man/makeMaximumIterationsStoppingCondition.Rd
+++ b/man/makeMaximumIterationsStoppingCondition.Rd
@@ -4,7 +4,7 @@
 \alias{makeMaximumIterationsStoppingCondition}
 \title{Stopping condition: maximum number of iterations.}
 \usage{
-makeMaximumIterationsStoppingCondition(max.iter = Inf)
+makeMaximumIterationsStoppingCondition(max.iter = NULL)
 }
 \arguments{
 \item{max.iter}{[\code{integer(1)}]\cr
diff --git a/man/makeMaximumTimeStoppingCondition.Rd b/man/makeMaximumTimeStoppingCondition.Rd
index 4db629b..a2cfce1 100644
--- a/man/makeMaximumTimeStoppingCondition.Rd
+++ b/man/makeMaximumTimeStoppingCondition.Rd
@@ -4,7 +4,7 @@
 \alias{makeMaximumTimeStoppingCondition}
 \title{Stopping condition: time limit.}
 \usage{
-makeMaximumTimeStoppingCondition(max.time = Inf)
+makeMaximumTimeStoppingCondition(max.time = NULL)
 }
 \arguments{
 \item{max.time}{[\code{integer(1)}]\cr
diff --git a/man/setupStoppingConditions.Rd b/man/setupStoppingConditions.Rd
index 0802bf1..9587dcd 100644
--- a/man/setupStoppingConditions.Rd
+++ b/man/setupStoppingConditions.Rd
@@ -4,7 +4,7 @@
 \alias{setupStoppingConditions}
 \title{Generator for some frequently used stopping conditions.}
 \usage{
-setupStoppingConditions(max.iter = Inf, max.time = Inf)
+setupStoppingConditions(max.iter = NULL, max.time = NULL)
 }
 \arguments{
 \item{max.iter}{[\code{integer(1)}]\cr