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Re: All Liar, No Paradox


ALNP.  Note 4


| Matter is potentiality (dynamis), while form is
| realization or actuality (entelecheia), and the
| word actuality is used in two senses, illustrated
| by the possession of knowledge (episteme) and the
| exercise of it (theorein).
| So the soul (psyche) must be substance (ousia)
| in the sense of being the form (eidos) of a
| natural body (soma), which potentially (dynamei)
| has life (zoe).  And substance in this sense is
| actuality (entelecheia).
| Aristotle, "Peri Psyche", 2.1.

| The passage from power to entelechy takes place
| by means of change (kinesis).  This is the
| imperfect energy, the perfected energy
| is the entelechy.
| C.S. Peirce, 'Chronological Edition', CE 5, p. 404.

| I shall, therefore, venture to call [Sum (mv^2)/2]
| the kinetic act or kinetic energy, and the negative
| of the potential, the kinetic power or kinetic
| potency.  For the sum of the two I can think of
| no better term than 'motivity' or 'kinesis'.
| C.S. Peirce, 'Chronological Edition', CE 5, p. 275n.

| Tho' obscur'd, this is the form of the Angelic land.
| William Blake, "America",
| Inductory Envoi to the American Edition of:
| George Spencer Brown, 'Laws of Form', 1972.

| In arriving at proofs, I have often been struck
| by the apparent alignment of mathematics with
| psycho-analytic theory.  In each discipline
| we attempt to find out, by a mixture of
| contemplation, symbolic representation,
| communion, and communication, what
| it is we already know.
| George Spencer Brown, 'Laws of Form', p. xix.

| One of the motives prompting the furtherance of
| the present work was the hope of bringing together
| the investigations of the inner structure of our
| knowledge of the universe, as expressed in the
| mathematical sciences, and the investigations of
| its outer structure, as expressed in the physical
| sciences.  Here the work of Einstein, Schrodinger,
| and others seems to have led to the realization of
| an ultimate boundary of physical knowledge in the
| form of the media through which we perceive it.
| George Spencer Brown, 'Laws of Form', p. xxi.

| What is encompassed, in mathematics, is a
| transcedence from a given state of vision to a
| new, and hitherto unapparent, vision beyond it.
| When the present existence has ceased to make
| sense, it can still come to sense again through
| the realization of its form.
| George Spencer Brown, 'Laws of Form', p. xxiii.
| [ Yes, it's "transcedence", not "transcendence"!!! ]
| [ Sic transit gloria mundi, what a diff "n" makes! ]

| One of the most beautiful facts emerging from
| mathematical studies is this very potent relation-
| ship between the mathematical process and ordinary
| language.  There seems to be no mathematical idea
| of any importance or profundity that is not
| mirrored, with an almost uncanny accuracy, in the
| common use of words, and this appears especially
| true when we consider words in their original,
| and sometimes long forgotten, senses.
| George Spencer Brown, 'Laws of Form', pp. 90-91.

| Thus we do not imagine the wave train emitted by
| an excited finite echelon to be exactly like the
| wave train emitted from an excited physical
| particle.  For one thing the wave form from an
| echelon is square, and for another it is emitted
| without energy.  (We should need, I guess, to make
| at least one more departure from the form before
| arriving at a conception of energy on these lines.)
| George Spencer Brown, 'Laws of Form', p. 100.

| Ladies and gentlemen, I have set this aspect
| of exact science before you because in it the
| affinity with the fine arts becomes most plainly
| visible, and because here one may counter the
| misapprehension that natural science and
| technology are concerned solely with precise
| observation and rational, discursive thought.
| To be sure, this rational thinking and careful
| measurement belong to the scientist's work, just
| as the hammer and chisel belong to the work of the
| sculptor.  But in both cases they are merely the
| tools and not the content of the work.
| Werner Heisenberg,
|"The Meaning of Beauty in the Exact Sciences",
|'Across the Frontiers', p. 182.

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