diff --git a/base/abstractarray.jl b/base/abstractarray.jl
index 1a61da847e75f..9cd2522b34199 100644
--- a/base/abstractarray.jl
+++ b/base/abstractarray.jl
@@ -69,7 +69,7 @@ unsafe_indices(r::Range) = (OneTo(unsafe_length(r)),) # Ranges use checked_sub f
 """
     linearindices(A)
 
-Returns a `UnitRange` specifying the valid range of indices for `A[i]`
+Returns a `AbstractUnitRange` specifying the valid range of indices for `A[i]`
 where `i` is an `Int`. For arrays with conventional indexing (indices
 start at 1), or any multidimensional array, this is `1:length(A)`;
 however, for one-dimensional arrays with unconventional indices, this
@@ -89,6 +89,9 @@ julia> extrema(b)
 """
 linearindices(A)                 = (@_inline_meta; OneTo(_length(A)))
 linearindices(A::AbstractVector) = (@_inline_meta; indices1(A))
+linearindices(inds::Tuple{Vararg{AbstractUnitRange}}) =
+    (@_inline_meta; OneTo(prod(map(unsafe_length, inds))))
+
 eltype(::Type{<:AbstractArray{E}}) where {E} = E
 elsize{T}(::AbstractArray{T}) = sizeof(T)
 
@@ -363,21 +366,7 @@ function checkbounds_indices(::Type{Bool}, IA::Tuple{Any}, I::Tuple{Any})
 end
 function checkbounds_indices(::Type{Bool}, IA::Tuple, I::Tuple{Any})
     @_inline_meta
-    checkbounds_linear_indices(Bool, IA, I[1])
-end
-function checkbounds_linear_indices(::Type{Bool}, IA::Tuple, i)
-    @_inline_meta
-    if checkindex(Bool, IA[1], i)
-        return true
-    elseif checkindex(Bool, OneTo(trailingsize(IA)), i)  # partial linear indexing
-        partial_linear_indexing_warning_lookup(length(IA))
-        return true # TODO: Return false after the above function is removed in deprecated.jl
-    end
-    return false
-end
-function checkbounds_linear_indices(::Type{Bool}, IA::Tuple, i::Union{Slice,Colon})
-    partial_linear_indexing_warning_lookup(length(IA))
-    true
+    checkbounds_indices(Bool, (linearindices(IA),), I)
 end
 checkbounds_indices(::Type{Bool}, ::Tuple, ::Tuple{}) = true
 
@@ -824,18 +813,32 @@ _getindex(::LinearIndexing, A::AbstractArray, I...) = error("indexing $(typeof(A
 
 ## LinearFast Scalar indexing: canonical method is one Int
 _getindex(::LinearFast, A::AbstractArray, i::Int) = (@_propagate_inbounds_meta; getindex(A, i))
-_getindex(::LinearFast, A::AbstractArray) = (@_propagate_inbounds_meta; getindex(A, _to_linear_index(A)))
+_getindex(::LinearFast, A::AbstractArray) = (@_propagate_inbounds_meta; getindex(A, 1))
 function _getindex(::LinearFast, A::AbstractArray, I::Int...)
     @_inline_meta
     @boundscheck checkbounds(A, I...) # generally _to_linear_index requires bounds checking
     @inbounds r = getindex(A, _to_linear_index(A, I...))
     r
 end
+_to_linear_index(A::AbstractVector)        = (@_inline_meta; first(indices1(A)))
+_to_linear_index(A::AbstractArray)         = 1
 _to_linear_index(A::AbstractArray, i::Int) = i
-_to_linear_index(A::AbstractVector, i::Int, I::Int...) = i # TODO: DEPRECATE FOR #14770
 _to_linear_index{T,N}(A::AbstractArray{T,N}, I::Vararg{Int,N}) = (@_inline_meta; sub2ind(A, I...))
-_to_linear_index(A::AbstractArray) = 1 # TODO: DEPRECATE FOR #14770
-_to_linear_index(A::AbstractArray, I::Int...) = (@_inline_meta; sub2ind(A, I...)) # TODO: DEPRECATE FOR #14770
+function _to_linear_index{T,N}(A::AbstractArray{T,N}, I::Int...)
+    @_inline_meta
+    J, Jrem = IteratorsMD.split(I, Val{N})
+    _to_linear_index(A, J, Jrem)
+end
+# It's safe to drop Jrem, because we've already bounds-checked
+_to_linear_index(A::AbstractVector, J::Tuple, Jrem::Tuple) = (@_inline_meta; J[1])
+_to_linear_index(A::AbstractArray, J::Tuple, Jrem::Tuple) = (@_inline_meta; sub2ind(A, J...))
+# TODO: uncomment when deprecation period for partial linear indexing has ended
+# function _to_linear_index(A::AbstractVector, J::Tuple, Jrem::Tuple{})
+#     throw(ArgumentError("partial linear indexing is not allowed. Use `reshape(A, Val{$(length(J))})` to make the dimensionality of the array match the number of indices"))
+# end
+# function _to_linear_index(A::AbstractArray, J::Tuple, Jrem::Tuple{})
+#     throw(ArgumentError("partial linear indexing is not allowed. Use `reshape(A, Val{$(length(J))})` to make the dimensionality of the array match the number of indices"))
+# end
 
 ## LinearSlow Scalar indexing: Canonical method is full dimensionality of Ints
 _getindex(::LinearSlow, A::AbstractArray) = (@_propagate_inbounds_meta; getindex(A, _to_subscript_indices(A)...))
@@ -847,16 +850,18 @@ function _getindex(::LinearSlow, A::AbstractArray, I::Int...)
 end
 _getindex{T,N}(::LinearSlow, A::AbstractArray{T,N}, I::Vararg{Int, N}) = (@_propagate_inbounds_meta; getindex(A, I...))
 _to_subscript_indices(A::AbstractArray, i::Int) = (@_inline_meta; _unsafe_ind2sub(A, i))
-_to_subscript_indices{T,N}(A::AbstractArray{T,N}) = (@_inline_meta; fill_to_length((), 1, Val{N})) # TODO: DEPRECATE FOR #14770
-_to_subscript_indices{T}(A::AbstractArray{T,0}) = () # TODO: REMOVE FOR #14770
-_to_subscript_indices{T}(A::AbstractArray{T,0}, i::Int) = () # TODO: REMOVE FOR #14770
-_to_subscript_indices{T}(A::AbstractArray{T,0}, I::Int...) = () # TODO: DEPRECATE FOR #14770
-function _to_subscript_indices{T,N}(A::AbstractArray{T,N}, I::Int...) # TODO: DEPRECATE FOR #14770
+_to_subscript_indices{T,N}(A::AbstractArray{T,N}) = (@_inline_meta; map(first, indices(A)))
+_to_subscript_indices{T}(A::AbstractArray{T,0}, I::Int...) = ()
+function _to_subscript_indices{T,N}(A::AbstractArray{T,N}, I::Int...)
     @_inline_meta
-    J, _ = IteratorsMD.split(I, Val{N})    # (maybe) drop any trailing indices
-    sz = _remaining_size(J, size(A))       # compute trailing size (overlapping the final index)
-    (front(J)..., _unsafe_ind2sub(sz, last(J))...) # (maybe) extend the last index
-end
+    J, Jrem = IteratorsMD.split(I, Val{N})
+    _to_subscript_indices(A, J, Jrem)
+end
+_to_subscript_indices(A, J::Tuple, Jrem::Tuple) = J # already bounds-checked, safe to drop Jrem
+# TODO: uncomment when deprecation period for partial linear indexing has ended
+# function _to_subscript_indices(A::AbstractArray, J::Tuple, Jrem::Tuple{})
+#     throw(ArgumentError("partial linear indexing is not allowed. Use `reshape(A, Val{$(length(J))})` to make the dimensionality of the array match the number of indices"))
+# end
 _to_subscript_indices{T,N}(A::AbstractArray{T,N}, I::Vararg{Int,N}) = I
 _remaining_size(::Tuple{Any}, t::Tuple) = t
 _remaining_size(h::Tuple, t::Tuple) = (@_inline_meta; _remaining_size(tail(h), tail(t)))
@@ -926,7 +931,6 @@ end
 
 get(A::AbstractArray, I::Range, default) = get!(similar(A, typeof(default), index_shape(I)), A, I, default)
 
-# TODO: DEPRECATE FOR #14770 (just the partial linear indexing part)
 function get!{T}(X::AbstractArray{T}, A::AbstractArray, I::RangeVecIntList, default::T)
     fill!(X, default)
     dst, src = indcopy(size(A), I)
diff --git a/base/array.jl b/base/array.jl
index 5e7c4bcc8b7c0..01c1ab551407a 100644
--- a/base/array.jl
+++ b/base/array.jl
@@ -471,8 +471,9 @@ done(a::Array,i) = (@_inline_meta; i == length(a)+1)
 ## Indexing: getindex ##
 
 # This is more complicated than it needs to be in order to get Win64 through bootstrap
+getindex{T}(A::Array{T,0}) = arrayref(A, 1)
 getindex(A::Array, i1::Int) = arrayref(A, i1)
-getindex(A::Array, i1::Int, i2::Int, I::Int...) = (@_inline_meta; arrayref(A, i1, i2, I...)) # TODO: REMOVE FOR #14770
+getindex{T,N}(A::Array{T,N}, I::Vararg{Int,N}) = (@_inline_meta; arrayref(A, I...))
 
 # Faster contiguous indexing using copy! for UnitRange and Colon
 function getindex(A::Array, I::UnitRange{Int})
@@ -500,8 +501,9 @@ function getindex{S}(A::Array{S}, I::Range{Int})
 end
 
 ## Indexing: setindex! ##
+setindex!{T}(A::Array{T,0}, x) = arrayset(A, convert(T,x)::T, 1)
 setindex!{T}(A::Array{T}, x, i1::Int) = arrayset(A, convert(T,x)::T, i1)
-setindex!{T}(A::Array{T}, x, i1::Int, i2::Int, I::Int...) = (@_inline_meta; arrayset(A, convert(T,x)::T, i1, i2, I...)) # TODO: REMOVE FOR #14770
+setindex!{T,N}(A::Array{T,N}, x, I::Vararg{Int,N}) = (@_inline_meta; arrayset(A, convert(T,x)::T, I...))
 
 # These are redundant with the abstract fallbacks but needed for bootstrap
 function setindex!(A::Array, x, I::AbstractVector{Int})
@@ -548,6 +550,7 @@ function setindex!{T}(A::Array{T}, X::Array{T}, c::Colon)
 end
 
 setindex!(A::Array, x::Number, ::Colon) = fill!(A, x)
+setindex!{T}(A::Array{T,0}, x::Number)  = fill!(A, x)  # ambiguity resolution
 setindex!{T, N}(A::Array{T, N}, x::Number, ::Vararg{Colon, N}) = fill!(A, x)
 
 # efficiently grow an array
diff --git a/base/deprecated.jl b/base/deprecated.jl
index abbac9d4d712d..13396beb4a8b1 100644
--- a/base/deprecated.jl
+++ b/base/deprecated.jl
@@ -1032,43 +1032,19 @@ isempty(::Task) = error("isempty not defined for Tasks")
 end
 
 # Deprecate partial linear indexing
-function partial_linear_indexing_warning_lookup(nidxs_remaining)
-    # We need to figure out how many indices were passed for a sensible deprecation warning
-    opts = JLOptions()
-    if opts.depwarn > 0
-        # Find the caller -- this is very expensive so we don't want to do it twice
-        bt = backtrace()
-        found = false
-        call = StackTraces.UNKNOWN
-        caller = StackTraces.UNKNOWN
-        for frame in bt
-            lkups = StackTraces.lookup(frame)
-            for caller in lkups
-                if caller === StackTraces.UNKNOWN
-                    continue
-                end
-                found && @goto found
-                if caller.func in (:getindex, :setindex!, :view)
-                    found = true
-                    call = caller
-                end
-            end
-        end
-        @label found
-        fn = "`reshape`"
-        if call != StackTraces.UNKNOWN && !isnull(call.linfo)
-            # Try to grab the number of dimensions in the parent array
-            mi = get(call.linfo)
-            args = mi.specTypes.parameters
-            if length(args) >= 2 && args[2] <: AbstractArray
-                fn = "`reshape(A, Val{$(ndims(args[2]) - nidxs_remaining + 1)})`"
-            end
-        end
-        _depwarn("Partial linear indexing is deprecated. Use $fn to make the dimensionality of the array match the number of indices.", opts, bt, caller)
-    end
+check_oneto(A::AbstractArray) = check_oneto(indices(A))
+check_oneto(inds::Tuple{Vararg{OneTo}}) = nothing
+check_oneto(inds::Tuple{AbstractUnitRange,Vararg{AbstractUnitRange}}) = error("partial linear indexing is not supported for arrays with non-1 indexing")
+function _to_linear_index(A::AbstractArray, J::Tuple, Jrem::Tuple{})
+    check_oneto(A)
+    depwarn("partial linear indexing is deprecated. Use `reshape(A, Val{$(length(J))})` to make the dimensionality of the array match the number of indices", :_to_linear_index)
+    sub2ind(A, J...)
 end
-function partial_linear_indexing_warning(n)
-    depwarn("Partial linear indexing is deprecated. Use `reshape(A, Val{$n})` to make the dimensionality of the array match the number of indices.", (:getindex, :setindex!, :view))
+function _to_subscript_indices(A::AbstractArray, J::Tuple, Jrem::Tuple{})
+    check_oneto(A)
+    depwarn("partial linear indexing is deprecated. Use `reshape(A, Val{$(length(J))})` to make the dimensionality of the array match the number of indices", :_to_subscript_indices)
+    sz = _remaining_size(J, indices(A))    # compute trailing size (overlapping the final index)
+    (front(J)..., _unsafe_ind2sub(sz, last(J))...)
 end
 
 # Deprecate Array(T, dims...) in favor of proper type constructors
@@ -1262,6 +1238,8 @@ for f in (:airyai, :airyaiprime, :airybi, :airybiprime, :airyaix, :airyaiprimex,
 end
 
 # END 0.6 deprecations
+# IMPORTANT: when the 0.6 deprecations are removed, uncomment error messages for
+# _to_linear_index and _to_subscript_indices in abstractarray.jl
 
 # BEGIN 1.0 deprecations
 # END 1.0 deprecations
diff --git a/base/multidimensional.jl b/base/multidimensional.jl
index 128c09bfa4e28..db0e031aa147f 100644
--- a/base/multidimensional.jl
+++ b/base/multidimensional.jl
@@ -197,8 +197,10 @@ end
 # Indexing into Array with mixtures of Integers and CartesianIndices is
 # extremely performance-sensitive. While the abstract fallbacks support this,
 # codegen has extra support for SIMDification that sub2ind doesn't (yet) support
+@propagate_inbounds getindex(A::Array, I::Integer...) = _getindex(LinearFast(), A, to_indices(A, I)...)
 @propagate_inbounds getindex(A::Array, i1::Union{Integer, CartesianIndex}, I::Union{Integer, CartesianIndex}...) =
     A[to_indices(A, (i1, I...))...]
+@propagate_inbounds setindex!(A::Array, v, I::Integer...) = _setindex!(LinearFast(), A, v, to_indices(A, I)...)
 @propagate_inbounds setindex!(A::Array, v, i1::Union{Integer, CartesianIndex}, I::Union{Integer, CartesianIndex}...) =
     (A[to_indices(A, (i1, I...))...] = v; A)
 
diff --git a/test/abstractarray.jl b/test/abstractarray.jl
index 5bd1f95cef8bf..39b36d74bc39f 100644
--- a/test/abstractarray.jl
+++ b/test/abstractarray.jl
@@ -241,6 +241,7 @@ Base.setindex!{T}(A::TSlow{T,5}, v, i1::Int, i2::Int, i3::Int, i4::Int, i5::Int)
     (A.data[(i1,i2,i3,i4,i5)] = v)
 
 const can_inline = Base.JLOptions().can_inline != 0
+const depwarns_not_error = Base.JLOptions().depwarn < 2
 function test_scalar_indexing{T}(::Type{T}, shape, ::Type{TestAbstractArray})
     N = prod(shape)
     A = reshape(collect(1:N), shape)
@@ -263,27 +264,44 @@ function test_scalar_indexing{T}(::Type{T}, shape, ::Type{TestAbstractArray})
         end
     end
     # Test linear indexing and partial linear indexing
+    @test A == B
     i=0
     for i1 = 1:length(B)
         i += 1
         @test A[i1] == B[i1] == i
     end
-    i=0
-    for i2 = 1:size(B, 2)
-        for i1 = 1:size(B, 1)
-            i += 1
-            @test A[i1,i2] == B[i1,i2] == i
+    # TODO (#14770): run only for ndims(A) <= 2, elim. redirect_stderr stuff
+    if ndims(A) <= 2 || depwarns_not_error
+        filename = tempname()
+        open(filename, "w") do f
+            redirect_stderr(f) do
+                i=0
+                for i2 = 1:size(B, 2)
+                    for i1 = 1:size(B, 1)
+                        i += 1
+                        @test A[i1,i2] == B[i1,i2] == i
+                    end
+                end
+            end
         end
+        rm(filename)
     end
-    @test A == B
-    i=0
-    for i3 = 1:size(B, 3)
-        for i2 = 1:size(B, 2)
-            for i1 = 1:size(B, 1)
-                i += 1
-                @test A[i1,i2,i3] == B[i1,i2,i3] == i
+    if ndims(A) <= 3 || depwarns_not_error
+        filename = tempname()
+        open(filename, "w") do f
+            redirect_stderr(f) do
+                i=0
+                for i3 = 1:size(B, 3)
+                    for i2 = 1:size(B, 2)
+                        for i1 = 1:size(B, 1)
+                            i += 1
+                            @test A[i1,i2,i3] == B[i1,i2,i3] == i
+                        end
+                    end
+                end
             end
         end
+        rm(filename)
     end
     # Test zero-dimensional accesses
     @test A[] == B[] == A[1] == B[1] == 1
@@ -369,22 +387,49 @@ function test_vector_indexing{T}(::Type{T}, shape, ::Type{TestAbstractArray})
     # Test adding dimensions with matrices
     idx1 = rand(1:size(A, 1), 3)
     idx2 = rand(1:size(A, 2), 4, 5)
-    @test B[idx1, idx2] == A[idx1, idx2] == reshape(A[idx1, vec(idx2)], 3, 4, 5) == reshape(B[idx1, vec(idx2)], 3, 4, 5)
-    @test B[1, idx2] == A[1, idx2] == reshape(A[1, vec(idx2)], 4, 5) == reshape(B[1, vec(idx2)], 4, 5)
+    # #14770
+    if ndims(A) <= 2 || depwarns_not_error
+        filename = tempname()
+        open(filename, "w") do f
+            redirect_stderr(f) do
+                @test B[idx1, idx2] == A[idx1, idx2] == reshape(A[idx1, vec(idx2)], 3, 4, 5) == reshape(B[idx1, vec(idx2)], 3, 4, 5)
+                @test B[1, idx2] == A[1, idx2] == reshape(A[1, vec(idx2)], 4, 5) == reshape(B[1, vec(idx2)], 4, 5)
+            end
+        end
+        rm(filename)
+    end
 
     # test removing dimensions with 0-d arrays
     idx0 = reshape([rand(1:size(A, 1))])
-    @test B[idx0, idx2] == A[idx0, idx2] == reshape(A[idx0[], vec(idx2)], 4, 5) == reshape(B[idx0[], vec(idx2)], 4, 5)
-    # @test B[reshape([end]), reshape([end])] == A[reshape([end]), reshape([end])] == reshape([A[end,end]]) == reshape([B[end,end]]) # TODO: Re-enable after partial linear indexing deprecation
+    # TODO (#14770): run only for ndims(A) <= 2, elim. redirect_stderr stuff
+    if ndims(A) <= 2 || depwarns_not_error
+        filename = tempname()
+        open(filename, "w") do f
+            redirect_stderr(f) do
+                @test B[idx0, idx2] == A[idx0, idx2] == reshape(A[idx0[], vec(idx2)], 4, 5) == reshape(B[idx0[], vec(idx2)], 4, 5)
+                # @test B[reshape([end]), reshape([end])] == A[reshape([end]), reshape([end])] == reshape([A[end,end]]) == reshape([B[end,end]]) # TODO: Re-enable after partial linear indexing deprecation
+            end
+        end
+        rm(filename)
+    end
 
     # test logical indexing
     mask = bitrand(shape)
     @test B[mask] == A[mask] == B[find(mask)] == A[find(mask)] == find(mask)
     @test B[vec(mask)] == A[vec(mask)] == find(mask)
     mask1 = bitrand(size(A, 1))
-    mask2 = bitrand(size(A, 2))
-    @test B[mask1, mask2] == A[mask1, mask2] == B[find(mask1), find(mask2)]
-    @test B[mask1, 1] == A[mask1, 1] == find(mask1)
+    mask2 = bitrand(prod(Base.tail(size(A))))
+    # TODO (#14770): run only for ndims(A) <= 2, elim. redirect_stderr stuff
+    if ndims(A) <= 2 || depwarns_not_error
+        filename = tempname()
+        open(filename, "w") do f
+            redirect_stderr(f) do
+                @test B[mask1, mask2] == A[mask1, mask2] == B[find(mask1), find(mask2)]
+                @test B[mask1, 1] == A[mask1, 1] == find(mask1)
+            end
+        end
+        rm(filename)
+    end
 end
 
 function test_primitives{T}(::Type{T}, shape, ::Type{TestAbstractArray})
diff --git a/test/subarray.jl b/test/subarray.jl
index 0ff38ff999298..8ef08983a5059 100644
--- a/test/subarray.jl
+++ b/test/subarray.jl
@@ -126,6 +126,8 @@ function test_linear(A::ANY, B::ANY)
 end
 
 # "mixed" means 2 indexes even for N-dimensional arrays
+# TODO (#14770): eliminate this test when deprecations removed
+const depwarns_not_error = Base.JLOptions().depwarn < 2
 test_mixed{T}(::AbstractArray{T,1}, ::Array) = nothing
 test_mixed{T}(::AbstractArray{T,2}, ::Array) = nothing
 test_mixed(A, B::Array) = _test_mixed(A, reshape(B, size(A)))
@@ -133,10 +135,17 @@ function _test_mixed(A::ANY, B::ANY)
     m = size(A, 1)
     n = size(A, 2)
     isgood = true
-    for j = 1:n, i = 1:m
-        if A[i,j] != B[i,j]
-            isgood = false
-            break
+    if depwarns_not_error
+        filename = tempname()
+        open(filename, "w") do f
+            redirect_stderr(f) do
+                for j = 1:n, i = 1:m
+                    if A[i,j] != B[i,j]
+                        isgood = false
+                        break
+                    end
+                end
+            end
         end
     end
     if !isgood
@@ -229,9 +238,11 @@ function runviews(SB::AbstractArray, indexN, indexNN, indexNNN)
         ndims(SB) > 3 && i3 isa Colon && continue # TODO: Re-enable once Colon no longer spans partial trailing dimensions
         runsubarraytests(SB, i1, i2, i3)
     end
-    for i2 in indexN, i1 in indexN
-        i2 isa Colon && continue # TODO: Re-enable once Colon no longer spans partial trailing dimensions
-        runsubarraytests(SB, i1, i2)
+    if depwarns_not_error
+        for i2 in indexN, i1 in indexN
+            i2 isa Colon && continue # TODO: Re-enable once Colon no longer spans partial trailing dimensions
+            runsubarraytests(SB, i1, i2)
+        end
     end
     for i1 in indexNNN
         runsubarraytests(SB, i1)