Page 1 - Boundedness Revisited

Boundedness Revisited

© 2018 Jonathan S. Gluckman

I wrote Boundedness in 1973-4 as the culmination of my search
for the absolute truth. Apart from Frege’s topological insights, my
influences were the progress of Western philosophy away from
idealism and dualism, and the determination by physics that reality
is four-dimensional. What I arrived at was an analytical tool based
on a logically self-evident principle, the excluded middle. The
applications and implications of that principle, and the uses to
which it can be put in the establishment of truth or falsity, are the
subjects I considered. In the decades since writing, I have had
occasion to clarify, criticize and build upon the ideas originally
expressed; those later thoughts appear as footnotes within the
original text and as an addendum.

B O U N D E D N E S S
An essay in analytic philosophy
by
Jonathan S. Gluckman

“To a concept without a sharp boundary, there would correspond
an area that had not a sharp boundary-line all round…this would
not really be an area at all.”
. . . .

“The law of excluded middle is really just another form of the
requirement that the concept should have a sharp boundary.”

Gottlob Frege (1848-1925)