Why 1920s? Hard to imagine programming without any language at all, but definitely the core nature of most languages we use is the write-essay-then-submit style while computers enable a lot more interactivity and liveness today.
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Formal languages are a 1920s (actually 1900s-1930s) technology. It’s very easy to imagine programming without a formal language (at least *while* creating the program), for example by interaction, but that’s an active area of research (E.g. see http://www.wisdom.weizmann.ac.il/~playbook/ ).
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Of course, the result must still be formal (i.e. mechanical) for the computer to interpret, but the process of creating it need not rely on directly constructing a formal expression.
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