..what i'm asking here is what is Intuition..?
and do we all accept that it 'exists'?
..similarly to the term 'consciousness' it is inseparable from our ordinary language and understanding, but rarely examined from a scientific perspective..
what i find important about intuition (especially geometric) is that it occurs in a 'mental space'..
is this space the same as or related to consciousness, or an extension of the mind, or of the brain?
..from a Princeton maths paper which i quoted in the Maths vs. Science thread:
only in the mind can we define infinity..we accept it as a mathematical norm/concept..but we can never measure it..
the mind allows potential observation of the unmeasurable..
if we accept the validity of true intuition, then we have a powerful tool which has not been 'developed' with any rigour..
and do we all accept that it 'exists'?
..similarly to the term 'consciousness' it is inseparable from our ordinary language and understanding, but rarely examined from a scientific perspective..
what i find important about intuition (especially geometric) is that it occurs in a 'mental space'..
is this space the same as or related to consciousness, or an extension of the mind, or of the brain?
..from a Princeton maths paper which i quoted in the Maths vs. Science thread:
..i enjoy where science, philosophy and mind meet..TABLE 1. Taxonomy of Intuition
I. sensory
__A. empirical (i)
__B. pure
_________1. spatial (ii)
_________2. temporal (iii)
II. nonsensory
A. rational
__1. mathematical
_____a. geometric (iv)
_____b. chronometric (v)
_____c. set-theoretic (vi)
_____d. other mathematical
__2. other rational
B. linguistic (vii)
C. heuristic (viii)
D. other nonsensory (if any)
only in the mind can we define infinity..we accept it as a mathematical norm/concept..but we can never measure it..
the mind allows potential observation of the unmeasurable..
if we accept the validity of true intuition, then we have a powerful tool which has not been 'developed' with any rigour..