# PlanetPhysics/Computer2

Any automaton which is capable of either executing a set of logical instructions (that is called a *program* , ) or whose operation is defined either by an algorithm/ set of algorithms **Failed to parse (unknown function "\A"): {\displaystyle \A}**
or a recursive function is called a *computer* .

### RemarksEdit

Occasionally, and incompletely, a computer is simply being defined as
""a machine that manipulates data according to a list of instructions.* *. First of all, implicit in the latter description is the concept of *sequential machine* or automaton that has a precise mathematical definition, and is not simply just any `machine'. Secondly, the vague term of "list of instructions" needs actually be replaced by a "set of {\mathbf logical} instructions", which is precisely defined, for example by algorithms or recursive functions as in the top definition of the computer term.

Notably, and contrary to widespread misconceptions in old-age philosophy
( e.g. Descartes, John von Neumann, etc.), AI and the computer community,
complex, living systems and the human brain cannot be adequately described or represented by any computer, computer model, or classical automaton; this is, in essence, because the latter cannot be adequately modelled by any recursive function, finitary algorithm or (computer) program. Furthermore, any computer can be
encoded with a categorical commutative diagram. On the other hand, most organisms-- that possess variable topology and varying transition functions (viz. entry on automata)-- may only be encoded by the unique limit of a sequence of non-commutative categorical diagrams which is not necessarily finite, and that cannot be *recursively* computed.

## All SourcesEdit

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