diff --git a/doc/NEWS.Rd b/doc/NEWS.Rd
index 6495a15078..df0043973a 100644
--- a/doc/NEWS.Rd
+++ b/doc/NEWS.Rd
@@ -330,7 +330,13 @@
       including two patch proposals by Brodie Gaslam.
 
       \item \code{qnorm(<very large negative>, log.p=TRUE)} is now correct
-      to at least five digits where it was catastrophically wrong, previously.
+      to at least five digits where it was catastrophically wrong,
+      previously.
+
+      \item \code{sum(df)} and similar \code{"Summary"}- and
+      \code{"Math"}-group member functions now work for data frames
+      \code{df} with \code{\link{logical}} columns, notably also of zero
+      rows.  Reported to R-devel by Martin "b706".
     }
   }
 }
diff --git a/src/library/base/R/dataframe.R b/src/library/base/R/dataframe.R
index 13749852a6..e83bd4561e 100644
--- a/src/library/base/R/dataframe.R
+++ b/src/library/base/R/dataframe.R
@@ -1606,14 +1606,15 @@ as.matrix.data.frame <- function (x, rownames.force = NA, ...)
 
 Math.data.frame <- function (x, ...)
 {
-    mode.ok <- vapply(x, function(x) is.numeric(x) || is.complex(x), NA)
+    mode.ok <- vapply(x, function(x)
+        is.numeric(x) || is.logical(x) || is.complex(x), NA)
     if (all(mode.ok)) {
 	x[] <- lapply(X = x, FUN = .Generic, ...)
 	return(x)
     } else {
 	vnames <- names(x)
 	if (is.null(vnames)) vnames <- seq_along(x)
-	stop("non-numeric variable(s) in data frame: ",
+	stop("non-numeric-alike variable(s) in data frame: ",
 	     paste(vnames[!mode.ok], collapse = ", "))
     }
 }
@@ -1699,8 +1700,8 @@ Summary.data.frame <- function(..., na.rm)
     args <- list(...)
     args <- lapply(args, function(x) {
         x <- as.matrix(x)
-        if(!is.numeric(x) && !is.complex(x))
-            stop("only defined on a data frame with all numeric variables")
+        if(!is.numeric(x) && !is.logical(x) && !is.complex(x))
+            stop("only defined on a data frame with all numeric-alike variables")
         x
     })
     do.call(.Generic, c(args, na.rm=na.rm))
diff --git a/src/library/base/man/groupGeneric.Rd b/src/library/base/man/groupGeneric.Rd
index a3543a1b34..e8f99c1589 100644
--- a/src/library/base/man/groupGeneric.Rd
+++ b/src/library/base/man/groupGeneric.Rd
@@ -1,6 +1,6 @@
 % File src/library/base/man/groupGeneric.Rd
 % Part of the R package, https://www.R-project.org
-% Copyright 1995-2017 R Core Team
+% Copyright 1995-2020 R Core Team
 % Distributed under GPL 2 or later
 
 \name{groupGeneric}
@@ -139,6 +139,11 @@
     }
     Members of this group dispatch on the first argument supplied.
 
+    Note that the \code{\link{data.frame}} methods for the
+    \code{"Summary"} and \code{"Math"} groups require \dQuote{numeric-alike}
+    columns \code{x}, i.e., fulfilling \preformatted{
+      is.numeric(x) || is.logical(x) || is.complex(x)}
+
     \item Group \code{"Complex"}:
     \itemize{
       \item \code{Arg}, \code{Conj}, \code{Im}, \code{Mod}, \code{Re}
diff --git a/tests/reg-tests-1d.R b/tests/reg-tests-1d.R
index e406735d04..26f15a46f7 100644
--- a/tests/reg-tests-1d.R
+++ b/tests/reg-tests-1d.R
@@ -4553,6 +4553,24 @@ options(op)
 ## had worked up to R 3.6.3, but not from 4.0.0 to 4.0.3
 
 
+## Summary() and Math() data.frame methods with *logical* columns
+a <- na.omit(airquality)
+aF <- a[FALSE,] # 0-row version of it
+dL0 <- data.frame(x=numeric(), L=logical()) # logical column
+stopifnot(exprs = {
+    ## "Summary" :
+    sum(aF) == 0 # gave Error  "only defined on a data frame with all numeric variables"
+    sum(subset(a, Ozone > 200)) == 0 # (ditto)
+    suppressWarnings(range(dL0) == c(Inf, -Inf)) # (2 warnings)
+    ## "Math" , gave Error..: non-numeric variable(s) in data frame :
+    identical(exp(data.frame(L=TRUE)), data.frame(L=exp(TRUE)))
+    identical(sinL0 <- sin(dL0), data.frame(x=numeric(), L=numeric()))
+    identical(sinL0, log1p(dL0))
+    identical(cumsum(dL0),       data.frame(x=numeric(), L=integer()))
+})
+## probably never worked in any R <= 4.0.3
+
+
 
 ## keep at end
 rbind(last =  proc.time() - .pt,