On 03/07/2026 21:36, olcott wrote:The output really should be based on the inputOn 7/3/2026 1:18 PM, dbush wrote:On 7/3/2026 2:10 PM, olcott wrote:On 7/3/2026 12:10 PM, dbush wrote:>On 7/3/2026 12:52 PM, olcott wrote:Ignoring the input IS NOT A MAPPINGOn 7/3/2026 10:50 AM, dbush wrote:>On 7/3/2026 11:36 AM, olcott wrote:>On 7/3/2026 4:22 AM, Mikko wrote:>On 02/07/2026 17:51, olcott wrote:>>>
Do you know enough about C to understand that
dbush example was foolish nonsense when proposed
to show the halting problem counter-example?
It is a valid example of a C program. It was present as a part of a
claim about you, and your response was the false claim that "That
is just nonsense". Later in the discussion you offer more evidence
to support his claim.
>
His halt decider did not look at its input.
Nor is it required to. All it needs to do is map inputs to outputs.
>
So a piece of metal sitting on the ground is an automobile.
Does algorithm H map machine description X and machine input Y to an output of either 0 or 1?
>
>
If an algorithm takes an input and produces an output, that is by definition a mapping.That only proves that the definition is incoherent.Your definitions often are. But the well known definition of "mapping"
is not.
because computing the mapping from an input to
an output requires some kind of correspondence
between the two.
--
Copyright 2026 Olcott
My 28 year goal has been to make
"true on the basis of meaning expressed in language"
reliably computable for the entire body of knowledge.
The complete structure of this system is now defined.
The entire body of knowledge expressed in language is
comprised of two types of relations between finite strings:
(a) *Axioms* Expressions of language that are stipulated to be true.
My system bridges the analytic/synthetic distinction by
expressly encoding all empirical "atomic facts" in a formal
language such as CycL of the Cyc project.
(b) *Inference Rules* Expressions of language that are semantically
entailed syntactically from (a) and/or (b).
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