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From: George Levy <GLevy.domain.name.hidden>

Date: Thu, 21 Jun 2001 22:32:01 -0700

More on White Rabbits.

Here is a thought experiment which attempts to prove the non existence of

White Rabbits and of Black Rabbits.

Definitions:

1) White Rabbits: phenomena that we cannot understand. Their existence

indicates that the set of physical phenomena is larger than the set of ideas

2) Black Rabbits: ideas we can think of but which are not simulatable with

computers based on physical laws. i.e., not implementable on a

analog/digital computer. Their existence indicates that the set of physical

phenomena is smaller than the set of ideas.

Goal

Demonstrate that

Set(White Rabbits) = 0;

Set(Black Rabbits) = 0

and thus prove that the mental universe is identical in size to the physical

universe

Assumption:

COMP hypothesis: People thoughts can be simulated by a computer

Converse COMP hypothesis: A computer program can be understood by a person.

(hmmmm....)

Reminder:

Church/Turing Thesis: All algorithmic functions can be simulated by a

computer.

Converse Church Thesis: A computer can only simulate algorithmic functions

Proof:

Let's proceed via absurdum.

1) Let's say there are White Rabbits. Let's be a little more precise and say

that there are devices (a kind of transistor that produces White Rabbits

logic operations: WAND gates. Wonderful! I am an engineer and I'll use one of

these WAND gates in the design of a White Rabbit Computer (WACO) just to fool

the hackers, the CIA, the FBI, the KGB and the IRS. However, since a WACO

can incorporate a WAND gate, so can a person (by the COMP hypothesis). Hence

a person should be capable of generating the same outputs as the WACO and

therefore predict a WACO (unless the White Rabbits device generates a totally

random signal as in QM).

Hence no White Rabbits.

2) Now lets say Black Rabbits exist. It means that I can think of a Black

Rabbit but I can't program one on a computer. (I have done that so many

times!!!! :-) )

By the COMP hypothesis all ideas should be programmable.

Hence no Black Rabbits.

Therefore Mental Universe == Physical Universe

I realize the proof is shaky.... kind of like prestigitation with

rabbits???... but it is a starting point....:-)

George

Received on Thu Jun 21 2001 - 22:34:39 PDT

Date: Thu, 21 Jun 2001 22:32:01 -0700

More on White Rabbits.

Here is a thought experiment which attempts to prove the non existence of

White Rabbits and of Black Rabbits.

Definitions:

1) White Rabbits: phenomena that we cannot understand. Their existence

indicates that the set of physical phenomena is larger than the set of ideas

2) Black Rabbits: ideas we can think of but which are not simulatable with

computers based on physical laws. i.e., not implementable on a

analog/digital computer. Their existence indicates that the set of physical

phenomena is smaller than the set of ideas.

Goal

Demonstrate that

Set(White Rabbits) = 0;

Set(Black Rabbits) = 0

and thus prove that the mental universe is identical in size to the physical

universe

Assumption:

COMP hypothesis: People thoughts can be simulated by a computer

Converse COMP hypothesis: A computer program can be understood by a person.

(hmmmm....)

Reminder:

Church/Turing Thesis: All algorithmic functions can be simulated by a

computer.

Converse Church Thesis: A computer can only simulate algorithmic functions

Proof:

Let's proceed via absurdum.

1) Let's say there are White Rabbits. Let's be a little more precise and say

that there are devices (a kind of transistor that produces White Rabbits

logic operations: WAND gates. Wonderful! I am an engineer and I'll use one of

these WAND gates in the design of a White Rabbit Computer (WACO) just to fool

the hackers, the CIA, the FBI, the KGB and the IRS. However, since a WACO

can incorporate a WAND gate, so can a person (by the COMP hypothesis). Hence

a person should be capable of generating the same outputs as the WACO and

therefore predict a WACO (unless the White Rabbits device generates a totally

random signal as in QM).

Hence no White Rabbits.

2) Now lets say Black Rabbits exist. It means that I can think of a Black

Rabbit but I can't program one on a computer. (I have done that so many

times!!!! :-) )

By the COMP hypothesis all ideas should be programmable.

Hence no Black Rabbits.

Therefore Mental Universe == Physical Universe

I realize the proof is shaky.... kind of like prestigitation with

rabbits???... but it is a starting point....:-)

George

Received on Thu Jun 21 2001 - 22:34:39 PDT

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