Why is Heimerdinger a mage?

SO I enjoy playing mages because blasting people with magical energy lasers and such is a lot of fun. I enjoy fighting from afar and it makes farming easier I think. But why is Heimerdinger a mage? I look at Brand, Ryze, Sol and Morgana and they all use magic. Heimerdinger literally throws wrenches which is NOT magic. Mage = magic. He should be a marksman as there is not much difference between him and Sivir. And yes I know some of you will jump down my throat. Instead lets just be civil. Its a question based on the lore and what mages really are.I'd like to finally have a peaceful conversation.
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