Self-reference in Gödel's sentence as an abstract model of self-consciousness

1. Damjan Bojadžiev
(Artificial) Intelligence, Self-Recognition,
Consciousness
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DamjanB52
damjan.bojadziev@ijs.si

2. Can an AI be conscious / self-aware ?
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DamjanB52
damjan.bojadziev@ijs.si

3. Can an AI be I without consciousness ?
Can an AI be conscious / self-aware ?
YouTube
DamjanB52
damjan.bojadziev@ijs.si

4. Can an AI be I without consciousness ?
What is consciousness anyway ?
Can an AI be conscious / self-aware ?
YouTube
DamjanB52
damjan.bojadziev@ijs.si

5. Can an AI be I without consciousness ?
What is consciousness anyway ?
Can an AI be conscious / self-aware ?

6. Can an AI be I without consciousness ?
What is consciousness anyway ?
Can an AI be conscious / self-aware ?

7. Can an AI be I without consciousness ?
What is consciousness anyway ?
Can an AI be conscious / self-aware ?

8. Can an AI be I without consciousness ?
What is consciousness anyway ?
Can an AI be conscious / self-aware ?

9. Can an AI be I without consciousness ?
What is consciousness anyway ?
Can an AI be conscious / self-aware ?

10. “Self“

11. “Self“
between the ears .. behind the eyes ..

12. Relation to oneself
“Self“
between the ears .. behind the eyes ..

13. Relation to oneself
Self-reference
“Self“
between the ears .. behind the eyes ..

14. Self-Reference, in mathematics:
Self-reference

15. Self-Reference, in mathematics:
Gödel‘s theorems, ...
Self-reference

16. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
Self-reference

17. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
Self-reference
This formula is not provable

18. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
Self-reference
This formula is not provable
“But it‘s true“

19. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
Self-reference
This formula is not provable
Therefore, ...
“But it‘s true“

20. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
Self-reference
This formula is P

21. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
Self-reference
This formula is P
formulas
numbers
refer to
?

22. Self-Reference, in mathematics:
Gödel‘s theorems, ...
formula
This formula is P
formulas
numbers
refer to
formula number
Self-reference
arithmetical codec / “mirror“

23. fx is P

24. fx is P
f is P

25. Operation on a formula
with the symbol of its own image
fx is P
f is P

26. Operation on a formula
with the symbol of its own image
fx is P
f is P
“looking at oneself“

27. Operation on a formula
with the symbol of its own image
fx is P
f is P
“looking at oneself“

28. “looking at oneself“
Operation on a formula
with the symbol of its own image
fx is P
f is P g

29. “looking at oneself“
Operation on a formula
with the symbol of its own image
fx is P
f is P g
d

30. Operation on a formula
that contains the symbol
of that very operation
with the symbol of its own image
f
g
d
d(x) is P “looking at oneself“

31. Operation on a formula
that contains the symbol
of that very operation
with the symbol of its own image
d(f) is P
f
g
d
d(x) is P “looking at oneself“

32. Operation on a formula
that contains the symbol
of that very operation
with the symbol of its own image
d(f) is P
f
g
d
d(x) is P “looking at oneself“

33. “seeing oneself“
Operation on a formula
that contains the symbol
of that very operation
with the symbol of its own image
d(f) is P
f
g
d
d(x) is P

34. d(f) is P
f
g
d
provability of d(f) = g
d(x) is P “seeing oneself“

35. d(f) is P
f
g
d
“recognizing oneself“
provability of d(f) = g
d(x) is P

36. d(f) is P
f
g
d
“recognizing oneself“
provability of d(f) = g
(by parallelism of movement)
d(x) is P

37. Recognize mirror image

38. Recognize mirror image

39. as conspecific
Recognize mirror image

40. of others
as conspecific
Recognize mirror image

41. of oneself
of others
as conspecific
Recognize mirror image

42. of oneself
of others
as conspecific
(stade du miroir)
Recognize mirror image by parallelism of movement

44. (1) mirroring

45. (1) mirroring
(2) self-referential procedure

46. (1) mirroring
(2) self-referential procedure
(3) self-referential procedure “on itself“

47. (1) mirroring
(2) self-referential procedure
(3) self-referential procedure “on itself“
(4) Provability (3)

48. (1) mirroring
(2) self-referential procedure
(3) self-referential procedure “on itself“
(4) Provability (3)

49. What is consciousness anyway ?

50. Head ? What head ?
Out of Body Experience
Loss of (sense of) self
What is consciousness anyway ?
Out of Mind / Head Experience

51. Out of Body Experience Out of Mind / Head Experience
Douglas Harding - On Having No Head
Loss of (sense of) self
What is consciousness anyway ?

54. frustum

55. “Head ?“ “What head ?“

56. What am I ? What is consciousness ?