Why is my script destroying all children instead of just the ones with certain names?

I want this script to go through the player backpack and destroy certain items, but leave the others. Right now, it iterates through the backpack, checks the child's name, prints the name... and then destroys it, regardless of whether that name is in the list of children that I want destroyed. What am I missing?

local backpack = player.Backpack
	local children = backpack:GetChildren()
	for i = 1, # children do
		local child = children[i]
		if child.Name == "Chainsaw" or "ChainsawCheck" or "Claws" or "ClawsCheck" or 		"Container2Check" or "Container3Check"
						or "Container4Check" or "Container5Check" or "Container6Check" or "Container7Check" or "Container8Check"
						or "Container9Check" or "DozerCheck" or "FireAxe" or "FireAxeCheck" or "Flamethrower" or "FlamethrowerCheck"
						or "Grenade" or "GrenadeCheck" or "Halberd" or "HalberdCheck" or "Hammer" or "HammerCheck" or "Jackhammer"
						or "JackhammerCheck" or "KatCheck" or "Lucy" or "LucyCheck" or "Machete" or "MacheteCheck" or "RollerCheck"
						or "Saw" or "SawCheck" or "SledgeHammer" or "SledgeHammerCheck" or "SuperSaw" or "SuperSawCheck" 
		then
			print(child.Name)
			child:Destroy()
		else
		end
	end

local Names = {"Chainsaw", "ChainsawCheck", "Claws", "ClawsCheck", "Container2Check"}
-- Add as many names to the table above as you please

local backpack = player.Backpack
local children = backpack:GetChildren()

for i = 1, #children do
	local child = children[i]
	for a,name in pairs(Names) do
		if child.Name == name then
			print(child.Name, name)
			child:Destroy()
			break
		end
	end
end