Re: H(D,D) cannot even be asked about the behavior of D(D) --- Dogma

On 6/21/2024 4:46 PM, Richard Damon wrote:

On 6/21/24 5:25 PM, olcott wrote:

On 6/21/2024 4:10 PM, Richard Damon wrote:

On 6/21/24 4:52 PM, olcott wrote:

On 6/21/2024 3:00 PM, Richard Damon wrote:

On 6/21/24 3:45 PM, olcott wrote:

On 6/21/2024 2:33 PM, Richard Damon wrote:

On 6/21/24 3:19 PM, olcott wrote:

int sum(int x, int y){ return x + y; }
When this program is asked: sum(3,4) this maps to 7.
When this program is asked: sum(5,6) this DOES NOT map to 7.

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Right.
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When H is asked H(D,D) this maps to D correctly simulated by H.
When H is asked H(D,D) this DOES NOT map to behavior that halts.
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Nope. H(M,d) is DEFINED (if it is correct) to determine if M(d) will Halt.
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If one "defines" that the input to H(D,D) maps to the behavior
of D(D) yet cannot show this because it does not actually
map to that behavior *THEN THE DEFINITION IS SIMPLY WRONG*

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But we CAN show that it maps to the behavior of D(D) (at least when the representation of D includes the H that is giving the 0 answer) by just runnig it and seeing what it does.
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No you cannot show that the mapping for the input to
H(D,D) maps to the behavior of D(D).

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The DEFINITION of a Halt Decider gives what H is SUPPOSED to do, if it is one.
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You claim it is a correct Halt decider
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When we do not simply make false assumptions about the
behavior that the input to H(D,D) specifies:
   That the call from D correctly simulated by H to H(D,D) returns

 What "False Assumption"?
 You just are ignorant of the DEFINTION of the problem.
 

*DOGMA DOES NOT COUNT AS SUPPORTING REASONING*
*DOGMA DOES NOT COUNT AS SUPPORTING REASONING*
*DOGMA DOES NOT COUNT AS SUPPORTING REASONING*
To "define" that the call from the D correctly simulated
by H to H(D,D) returns when the actual facts prove that
this call *DOES NOT RETURN* is ultimately unreasonable
because *THERE IS NO REASONING* that supports this.
--
Copyright 2024 Olcott "Talent hits a target no one else can hit; Genius
hits a target no one else can see." Arthur Schopenhauer