"The proof of an axiom can only be intuitive, which is to say that an axiom has to be grasped immediately, in a single act."
Tempting to define philosophy as the practice of disagreeing about intuitions. 😛
"to know that a proposition is true, a problem is solvable, an expectation is fulfillable, or an intention is realizable, you must know how to verify, solve, fulfill, or realize it, respectively."
"Mathematics is created by a free action independent of experience; it develops from a single aprioristic basic intuition [Ur-intuition], which may be called invariance in change as well as unity in multitude." - LEJ Brouwer
"... the notions of ‘invariance’ and ‘change’ are contradictory if we consider them separately. The same thing is true of the notions ‘unity’ and ‘multitude’. Thus it seems that according to Brouwer, we are able to intuit contradictory notions in a single action."
"..we cannot perceive any one of the pair continuity - discreteness without the other."
"By examining its current trajectory of development, we conclude that PP remains only loosely connected both to its computational framework and to its hypothetical biological underpinnings, which makes its fundamentals unclear."
"there is a one-to-many mapping between the key technical PP term of precision (having strict computational sense) and the whole gamut of subjective phenomena."
Hedgehog theory is such a common danger.
Pretty good point, I think.
"proponents of PP-informed schizophrenia models do not specify how higherlevel cognitive beliefs could compensate for imprecise low-level priors."
"we suggested that the remarkable increase of the size of the human brain due to its prolonged prenatal development has brought with it an increased sparsification, hierarchical modularization, as well as increased depth and cytoarchitectonic differentiation of brain networks."
I was once told that humans have far more ability to independently control articulators, like when we waggle our fingers. Apparently chimpanzees cannot do this (but correct me if I'm wrong).
This ability seems like a microcosm of the sparsification mentioned above.
(...)
Another factor that may help is the relative increase in inhibitory interneurons in the human brain compared to other species. Computational models show that inhibition is a key tool to enable decorrelation, which we can think of as a flexible, context-sensitive sparsification.
Good article, but I am surprised that there is no mention of the fact that magenta clues us that the human visual system has created a form of topological closure (not implied by the 1d wavelength spectrum).
Magenta has no equivalent wavelength. It's "the absence of green".
Why I am not in the 'Bayesian Brain' camp, exhibit A.
"...Bayesian models are significantly unconstrained, both because they are uninformed by a wide range of process-level data and because their assumptions about the environment are generally not grounded in [...] measurement."
"Rational approaches attempt to explain why cognition produces the patterns of behavior that is does, but they offer no insight into how cognition is carried out."