Logic — math, philosophy & computational aspects

discernibility not transitive?

I just read this in 20th Century Philosophy by Ayer and
I’m wondering if it’s considered uncontroversial.  If energy
levels for electrons etc. are quantized (and I don’t under-
stand this really, but so I’ve heard) wouldn’t discernment
between the levels be transitive?  Mightn’t this transitivity
then apply to color and position if perceived at a fine enough
level?  If discernibility is truly not a transitive relation at
any level, does this spell the end for categories of any kind?
I’ll appreciate any enlightenment about this.  tnx

                                        Paul Mitchell
                                        UC Santa Cruz

posted by admin in Uncategorized and have Comment (1)

One Response to “discernibility not transitive?”

  1. admin says:

    When people speak of the non-transitivity of indiscernibility, they
    usually have in mind something like what normal perceivers can
    discriminate in normal conditions using only their unaided perceptual
    capacities.

    steven gross

    - Hide quoted text — Show quoted text -

    paulmitchell <p…@ricochet.net> writes:
    >I just read this in 20th Century Philosophy by Ayer and
    >I’m wondering if it’s considered uncontroversial.  If energy
    >levels for electrons etc. are quantized (and I don’t under-
    >stand this really, but so I’ve heard) wouldn’t discernment
    >between the levels be transitive?  Mightn’t this transitivity
    >then apply to color and position if perceived at a fine enough
    >level?  If discernibility is truly not a transitive relation at
    >any level, does this spell the end for categories of any kind?
    >I’ll appreciate any enlightenment about this.  tnx

    >                                    Paul Mitchell
    >                                    UC Santa Cruz

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