>> I
>> don't consider C++/Java to be in a different paradigm than C, because they all use
>> the concept of storage that gets read and written along a timeline of programme
>> steps that have to be run one after the other in the order specified by the
>> programmer.
Sorry, I'm no professional programmer (I don't think i'm even good at it!) but it seems like you are describing a Turing Machine, which includes every programming language. Every languages builds to ASM (or is interpreted by some interpreter built to ASM) and therefore use a storage modified over the course of the time in a specific order. What matters is how you organise your code, how you think your program. In the end, it will actually be the same - both C and C++ build to ASM. However, C++ forces you to think of objects while C doesn't: that's another way of thinking and therefore another paradigm.
Every programming language worth being calling that way is conceived to be used in ways it has not be conceived for.