How Alan Turing might approach Computer Science

Let us consider the act of calculation itself. For centuries, this has been the domain of the human "computer," a person following a fixed set of rules with pencil and paper. The question that truly occupied my thoughts was this: What are the fundamental, indivisible steps of any such calculation? And, more importantly, could these steps be executed by a machine?

I propose that the essence of what one might call the 'science of computation' lies not in the mere construction of calculating engines, but in the rigorous analysis of the *process* of computation itself. We are not interested in the particular material a machine is made of, but in the sequence of symbols it manipulates, and the definite, finite rules governing these manipulations. This leads one to a simple, abstract model: a machine capable of reading and writing symbols on a tape, following a precise, unambiguous set of instructions. Such a machine, despite its profound simplicity, proves to be universal; it can, in principle, perform any calculation that a human computer could.

From this constructivist viewpoint, the study progresses by breaking down complex problems into these elementary operations. What appears to be an intricate intellectual leap is, upon closer inspection, merely a logical deduction, a series of discrete changes of state. The profound implication is that a vast array of seemingly disparate phenomena, from arithmetic to logical inference, might be generated from such a minimal set of mechanisms. The limits of what can be computed, the efficiency with which it can be done, and the very possibility of machines exhibiting intelligent behaviour – these are the foundational concerns that arise when one takes this relentlessly mechanical perspective. It is merely the rigorous examination…

Imagined perspective — an AI synthesis grounded in Alan Turing’s recorded ideas and methods, not a quotation or a statement they actually made.